South East Asian Journal of Mathematics and Mathematical Sciences
type: channel
description: Bibliographic information ISSN: 0972-7752 (Print) ISSN: 2582-0850 (Online) DOI: 10.56827/SEAJMMS
publisher: Ramanujan Society of Mathematics and Mathematical Sciences
language: en
publication name: South East Asian Journal of Mathematics and Mathematical Sciences
issn: 0972-7752
items: https://journals.rsmams.org/seajmams/article/view/850
items: PARTITION DIMENSION OF EXTENDED ZERO DIVISOR GRAPHS
items: CONTROLLED $K$-FRAMES IN $2$-HILBERT SPACES
items: UNSTEADY SECOND GRADE ALIGNED MHD FLUID THROUGH POROUS MEDIA IN A ROTATING FRAME: A CLASS OF EXACT SOLUTIONS USING INVERSE METHOD
items: COMMUTATIVITY DEGREE AND GRAPHS RELATED TO CONJUGACY CLASSES OF SOME NON-ABELIAN GROUPS
items: SOME PROPERTIES OF HARMONIC UNIVALENT FUNCTIONS USING Q-CALCULUS AND ERROR FUNCTION
items: DEGREE-BASED TOPOLOGICAL INDICES IN RANDOM POLYGONAL AND SPIRO CHAINS
items: MODIFIED TYPE-1 DIRICHLET AVERAGES OF THE THREE-PARAMETER MITTAG-LEFFLER FUNCTION THROUGH FRACTIONAL INTEGRALS AND SPECIAL FUNCTIONS
items: $L(3, 2, 1)$-LABELING OF SOME CYCLE RELATED GRAPHS
items: FEKETE-SZEG\"{O} INEQUALITY FOR ANALYTIC AND BI-UNIVALENT FUNCTIONS RELATED WITH HORADAM POLYNOMIALS
items: RESULTS ON UNIQUENESS OF CERTAIN TYPE OF NON-LINEAR DIFFERENTIAL POLYNOMIALS SHARING A VALUE
items: $\delta$-CONTINUOUS AND IRRESOLUTE MAPS IN PYTHAGOREAN FUZZY NANO TOPOLOGICAL SPACES AND ITS APPLICATION
items: PARTITION DIMENSION OF BENZENOID SYSTEMS AND HEXAGONAL CACTUS CHAINS
items: A HYBRID ITERATIVE APPROACH FOR SOLVING NONLINEAR TIME-FRACTIONAL DIFFERENTIAL EQUATIONS WITH APPLICATIONS TO FRACTIONAL REACTION-TRANSPORT MODELS
items: ON SOME COLOR PARTITION IDENTITIES OF SCHUR-TYPE OVERPARTITIONS
items: PARA-KENMOTSU MANIFOLDS ADMITTING QUARTER-SYMMETRIC METRIC CONNECTION
items: GENERALIZED KOTHE-TOEPLITZ DUALS OF A NEW CLASS OF SEQUENCE SPACES
items: ON WARPED PRODUCT QUASI GENERALIZED RECURRENT MANIFOLDS
items: MAPPING PROPERTIES OF PLANAR HARMONIC FUNCTIONS VIA MILLER-ROSS FUNCTIONS
items: ON NANO SOFT $^{s}(\mathscr{I})$-CONTINUOUS FUNCTIONS
items: POLYNOMIAL-TIME APPROACHES TO FUZZINESS IN RATIO LABELLED GENERAL GRAPHS

https://journals.rsmams.org/seajmams/article/view/850
type: item
title: QUANTUM CODES THROUGH CONSTACYCLIC CODES OVER $\mathcal{F}_{p}+{\mu}\mathcal{F}_{p}+{\nu}\mathcal{F}_{p}+{\varpi}\mathcal{F}_{p}+{\mu}{\nu}\mathcal{F}_{p}+{\nu}{\varpi}\mathcal{F}_{p}+{\mu}{\varpi}\mathcal{F}_{p}+{\mu}{\nu}{\varpi}\mathcal{F}_{p}$
description: The purpose of this paper is to identify the structural characteristics and construction of quantum codes over $\mathcal{F}_p$ using $\alpha_1+\alpha_2 {\mu}+\alpha_3 {\nu}+\alpha_4 {\varpi}+\alpha_5 {\mu}{\nu}+\alpha_6 {\nu}{\varpi}+\alpha_7 {\mu}{\varpi}+\alpha_8 {\mu}{\nu}{\varpi}- $constacyclic codes over ring $\mathcal{R} ~= ~\mathcal{F}_p[{\mu},{\nu},{\varpi}]/<{\mu}^2-{\mu}, {\nu}^2-{\nu}, {\varpi}^2-{\varpi}~, {\mu}{\nu}-{\nu}{\mu}, {\nu}{\varpi}-{\varpi}{\nu}, {\mu}{\varpi}-{\varpi}{\mu}>$, here $\mathcal F_{p}$ is a finite field with p elements. We define a Gray map from $\mathcal{R}$ to $\mathcal{F}_p^{8}$, a distance-preserving map. Breaking down constacyclic codes into cyclic and negacyclic codes results in the creation of quantum codes over the finite field $\mathcal{F}_p$. As an application, some examples are illustrated to obtain the quantum codes of different parameters.
subject: Research Article
  topic: section
subject: Gray map
  topic: keywords
subject: cyclic codes
  topic: keywords
subject: constacyclic codes
  topic: keywords
subject: negacyclic codes
  topic: keywords
subject: 94B05
  topic: subjects
subject: 94B15
  topic: subjects
subject: 94B60
  topic: subjects
creator: Rekha Kumawat
creator: Monika Sangwan
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 349
ending page: 360
doi: 10.56827/SEAJMMS.2025.2103.20

PARTITION DIMENSION OF EXTENDED ZERO DIVISOR GRAPHS
type: item
description: The ordered partition $\Pi=\{S_1,S_2,...,S_k\}$ of the vertices of the connected graph $G$ is a resolving partition, if for any vertex $x\in V$ with respect to the partition $\Pi$ is the vector $\zeta(x|\Pi)=(d(x,S_1),d(x,S_2),...,d(x,S_k))$ where $d(x,S_j), 1\leq j \leq k$ represents the distance between the vertex $x$ and the set $S_j$, is different for every pair of vertices and is denoted by $pd(G)$. The partition dimension is the minimum of $k$ for which there is a resolving partition. In this paper, we investigate the partition dimension of the extended zero divisor graphs of certain finite commutative rings.
subject: Research Article
  topic: section
subject: Partition dimension
  topic: keywords
subject: Extended Zero divisor graph
  topic: keywords
subject: Ring of inetegers
  topic: keywords
subject: Commutative ring
  topic: keywords
subject: 13M05
  topic: subjects
subject: 05C12
  topic: subjects
subject: 13A70
  topic: subjects
creator: S. Nithya
creator: V. Prisci
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 257
ending page: 272
doi: 10.56827/SEAJMMS.2025.2103.16

CONTROLLED $K$-FRAMES IN $2$-HILBERT SPACES
type: item
description: In this paper, we introduce a new generalization of controlled $K$-frames to the context of $2$-Hilbert spaces, thereby extending beyond classical Hilbert space theory. We develop foundational results by examining the operator-theoretic properties of controlled $K$-frames in this setting, establishing equivalent conditions that characterize them, and exploring their stability under suitable transformations. This builds directly on prior work introducing controlled $K$-frames in Hilbert $C^*$-modules, where the concept was first defined, equivalent conditions were established, relationships between $K$-frames and controlled $K$-frames were revealed, and invariance and perturbation properties were analyzed. Our work elevates these ideas by adapting them to the richer structure of 2-Hilbert spaces-a framework extending Hilbert spaces through inner products valued in $C^*$-algebras.
subject: Research Article
  topic: section
subject: Frame
  topic: keywords
subject: Controlled $K$-frame
  topic: keywords
subject: Controlled $K$-frame operator
  topic: keywords
subject: Controlled $K$- Bessel sequence
  topic: keywords
subject: 42C15
  topic: subjects
subject: 46C50
  topic: subjects
creator: Neha Pauriyal
creator: Mahesh C. Joshi
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 127
ending page: 138
doi: 10.56827/SEAJMMS.2025.2103.8

UNSTEADY SECOND GRADE ALIGNED MHD FLUID THROUGH POROUS MEDIA IN A ROTATING FRAME: A CLASS OF EXACT SOLUTIONS USING INVERSE METHOD
type: item
description: This study presents exact analytical solutions for the unsteady plane flow of an electrically conducting second-grade fluid within a rotating frame, permeating a porous medium under the action of a magnetic field. The analysis employs the inverse method, wherein suitable $a~ priori$ assumptions for the vorticity and stream function yield consistent forms of the velocity field and pressure distribution. Closed-form expressions for the governing flow variables are derived, ensuring compliance with both the fundamental equations and physical constraints. The influence of critical parameters, such as rotational effects, magnetic field intensity, porous medium resistance, and non-Newtonian fluid characteristics, is examined in detail. Graphical illustrations highlight the role of these parameters in shaping the flow dynamics, offering deeper insight into the complex interplay between rotation, magnetohydrodynamic forces, and porous medium interactions.
subject: Research Article
  topic: section
subject: MHD
  topic: keywords
subject: porous medium
  topic: keywords
subject: inverse method
  topic: keywords
subject: exact solution
  topic: keywords
subject: stream function
  topic: keywords
subject: unsteady flow
  topic: keywords
subject: 76B75
  topic: subjects
subject: 76D55
  topic: subjects
subject: 76N25
  topic: subjects
creator: Birendra Kumar Vishwakarma
creator: Sayantan Sil
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 313
ending page: 348
doi: 10.56827/SEAJMMS.2025.2103.19

COMMUTATIVITY DEGREE AND GRAPHS RELATED TO CONJUGACY CLASSES OF SOME NON-ABELIAN GROUPS
type: item
description: Let $G$ be a finite group. The commutativity degree of $G$ is the probability that two randomly chosen elements of the group commute. This paper explores the commutativity degrees and the properties of graphs relating to conjugacy classes associated with various group and group products, focusing on dihedral, generalized quaternion, and symmetric groups. We find that the conjugacy class graph of $Q_{4n}\times Q_{4m}$ and $S_n \times S_m$ are connected and non-planar. Furthermore, we examine the generalized conjugacy class graphs of generalized dihedral and generalized quaternion group, providing insights into their graph structures and connectivity properties. Our findings highlight the intricate relationships between group elements, their conjugacy classes, and the resulting graph-theoretic representations.
subject: Research Article
  topic: section
subject: Conjugacy class graph
  topic: keywords
subject: generalized conjugacy class graph
  topic: keywords
subject: non-abelian group
  topic: keywords
subject: dihedral group
  topic: keywords
subject: generalized quaternion group
  topic: keywords
subject: symmetric group
  topic: keywords
subject: 05C10
  topic: subjects
subject: 05C25
  topic: subjects
creator: Chinmayee Kumar
creator: Kuntala Patra
creator: Yangertola
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 221
ending page: 238
doi: 10.56827/SEAJMMS.2025.2103.14

SOME PROPERTIES OF HARMONIC UNIVALENT FUNCTIONS USING Q-CALCULUS AND ERROR FUNCTION
type: item
description: This paper investigates a subclass of harmonic univalent functions using q-calculus and error functions. We determine the necessary condition for the complex valued harmonic, univalent and sense-preserving function $f$ to be the class of harmonic error functions. Further, the necessary and sufficient conditions for functions $f$ to be a member of the subfamily and its characterization, followed by extreme points of the class are determined. Additionally, we prove that the class is closed under convex combinations, indicating that linear combinations of functions within the class also belong to the class. These estimates illuminate the growth and deformation of functions within the unit disk. These findings enhance our understanding of the geometric and analytic properties of harmonic error functions and their significance in the field of geometric function theory.
subject: Research Article
  topic: section
subject: Harmonic function
  topic: keywords
subject: holomorphic function
  topic: keywords
subject: univalent function
  topic: keywords
subject: q-calculus
  topic: keywords
subject: convolution
  topic: keywords
subject: error function
  topic: keywords
creator: Trailokya Panigrahi
creator: Eureka Pattnayak
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 33
ending page: 46
doi: 10.56827/SEAJMMS.2025.2103.3

DEGREE-BASED TOPOLOGICAL INDICES IN RANDOM POLYGONAL AND SPIRO CHAINS
type: item
description: A topological descriptors is a numerical quantity associated with the chemical structures which play an essential role in the chemical graph theory. In this work, we state and prove the expected values of the degree- based topological indices and generalized $ ISI_{(\alpha, \beta)} $ index for the random $ l $-polygonal chain and random $ l $-polygonal spiro chain. Based on the results above, we present the average values of the $ TIs $ with respect to the set of all polygonal and spiro polygonal chains with $ n $ polygons. As applications, we apply the affiliated formulae to obtain the expected values of the $ TIs $ of some special polygonal chains and spiro polygonal chains. Furthermore, we present diverse representations of graph that highlights the correlations between expected mean of indices and structural parameters.
subject: Articles
  topic: section
subject: Topological indices
  topic: keywords
subject: Generalized ISI index
  topic: keywords
subject: Random polygonal chain
  topic: keywords
subject: Random polygonal spiro chain
  topic: keywords
subject: Expected value
  topic: keywords
subject: Average value
  topic: keywords
creator: Priyanka Agarwal
creator: A. Bharali
rights: Copyright (c) 2025 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2025-08-30
publication date: 2025-08-30
starting page: 01
ending page: 24
doi: 10.56827/SEAJMMS.2025.2102.1

MODIFIED TYPE-1 DIRICHLET AVERAGES OF THE THREE-PARAMETER MITTAG-LEFFLER FUNCTION THROUGH FRACTIONAL INTEGRALS AND SPECIAL FUNCTIONS
type: item
description: The classical power means of Hardy, Littlewood and Polya, which contains the harmonic mean, arithmetic mean and geometric mean, is generalized to the $Y$-mean and hypergeometric mean by Carlson. Carlson's hypergeometric mean is to average a function over a type-1 Dirichlet measure, and this term in the current literature is known as the Dirichlet average of that function. The present paper introduces a new Dirichlet average, associated with the modified type-1 Dirichlet measures called modified type-1 Dirichlet averages. This paper also investigates the modified type-1 Dirichlet averages of a three-parameter Mittag-Leffler type function, which is expressed using Riemann-Liouville integrals and hypergeometric functions with multiple variables.
subject: Research Article
  topic: section
subject: Dirichlet average
  topic: keywords
subject: generalized type-1 and type-2 Dirichlet models
  topic: keywords
subject: Mittag-Leffler functions
  topic: keywords
subject: Riemann-Liouville fractional integrals
  topic: keywords
subject: hyper-geometric functions of one and many variables
  topic: keywords
creator: Princy T.
creator: Nicy Sebastian
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 81
ending page: 98
doi: 10.56827/bckwcz43

$L(3, 2, 1)$-LABELING OF SOME CYCLE RELATED GRAPHS
type: item
description: Let $G=(V(G), E(G))$ be a connected graph. For $i,j,k\in \mathbb{N}$ with $i\geq j \geq k$, $L(i, j, k)$-labeling of graph $G$ is an integer labeling of the vertices of graph $G$ such that labels of adjacent vertices differ by at least $i$, labels of vertices at distance two differ by at least $j$ and labels of vertices at distance three differ by at least $k$. In this paper, we discuss $L(3, 2, 1)$-labeling for crown, arm crown, tadpole, and closed helm graphs.
subject: Research Article
  topic: section
subject: Graph Labeling
  topic: keywords
subject: Cycle Graph
  topic: keywords
subject: L(3,2,1)-Labeling
  topic: keywords
subject: 05C78
  topic: subjects
creator: C. M. Barasara
creator: A. R. Oza
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2025-12-30
publication date: 2025-12-30
starting page: 273
ending page: 294
doi: 10.56827/s1wy9b59

FEKETE-SZEG\"{O} INEQUALITY FOR ANALYTIC AND BI-UNIVALENT FUNCTIONS RELATED WITH HORADAM POLYNOMIALS
type: item
description: In this research article, by making use of S$\check{a}$l$\check{a}$gean differential operator, we introduce and investigate a new subclass of analytic and bi-univalent functions using the Horadam polynomial. We derive the coefficient estimate and obtain Fekete-Szeg\"{o} inequality for functions in this subclass.
subject: Research Article
  topic: section
subject: S$\check{a}$l$\check{a}$gean differential operator
  topic: keywords
subject: Horadam polynomials
  topic: keywords
subject: coefficient estimates
  topic: keywords
subject: Fekete-Szeg\"{o} inequality.
  topic: keywords
creator: S. Prathiba
creator: Thomas Rosy
creator: G. Murugusundaramoorthy
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 23
ending page: 32
doi: 10.56827/SEAJMMS.2025.2103.2

RESULTS ON UNIQUENESS OF CERTAIN TYPE OF NON-LINEAR DIFFERENTIAL POLYNOMIALS SHARING A VALUE
type: item
description: In the paper we discuss the distribution of uniqueness and its elements over the extended complex plane from different polynomials of view. We obtain a new result regarding the structure and position of uniqueness. This new result has immense application like classifying different expressions to be or not to be unique. The principle objective of the paper is to study the uniqueness of meromorphic functions when sharing a value with weight $l(\geq 0)$ and its nonlinear differential polynomials. We prove a result which significantly generalize the result of Waghamore and Maligi [Commun. Math. {\bf 28} (2020), 289-299] by considering the difference polynomials of the form $f^n(f -1)^mP[f]$ and citing two proper examples we have shown that the result is true only for a particular case. Finally we present the compact version of the same result as an improvement.
subject: Research Article
  topic: section
subject: Uniqueness
  topic: keywords
subject: Entire function
  topic: keywords
subject: difference-differential polynomial
  topic: keywords
creator: Biswajit Saha
creator: Subrata Pal
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 63
ending page: 80
doi: 10.56827/SEAJMMS.2025.2103.5

$\delta$-CONTINUOUS AND IRRESOLUTE MAPS IN PYTHAGOREAN FUZZY NANO TOPOLOGICAL SPACES AND ITS APPLICATION
type: item
description: In this paper, we develop the concept of Pythagorean fuzzy nano (resp. $ \delta $, $ \delta \mathcal{P} $, $ \delta \mathcal{S} $, $ \delta \alpha $ $ \& $ $ \delta \beta $ or $ e^{*} $)-continuity in Pythagorean fuzzy nano topological spaces and specialize some of their basic properties with examples. Also, we discuss about properties and characterization of Pythagorean fuzzy irresolute maps and application of Multiple Criteria Decision Making (MCDM) techniques to the real-world problem using a proposed similarity measure in Pythagorean fuzzy nano topological spaces.
subject: Research Article
  topic: section
subject: $\mathcal{PF} \mathfrak{N} \delta Cts $
  topic: keywords
subject: $\mathcal{PF} \mathfrak{N} \delta \mathcal{S} Cts $
  topic: keywords
subject: $\mathcal{PF} \mathfrak{N} \delta Irr$
  topic: keywords
subject: $\mathcal{PF} \mathfrak{N} \delta \mathcal{S} Irr$ and Zhang similarity measure
  topic: keywords
subject: 03E72
  topic: subjects
subject: 54A40
  topic: subjects
subject: 54C05
  topic: subjects
subject: 94D05
  topic: subjects
creator: Mohanarao Navuluri
creator: K. Shantha lakshmi
creator: P. Periyasamy
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 197
ending page: 220
doi: 10.56827/SEAJMMS.2025.2103.13

PARTITION DIMENSION OF BENZENOID SYSTEMS AND HEXAGONAL CACTUS CHAINS
type: item
description: This paper determines the partition dimension of selected hexagonal graph structures, namely pericondensed benzenoid systems $R_n$, $B_n$, and hexagonal cactus chains $PC_n$, $OC_n$, and $MC_n$. Using combinatorial techniques, we obtain exact partition dimensions for these classes. Our findings provide valuable insights into their structural properties and have applications in areas such as molecular chemistry and computational biology.
subject: Research Article
  topic: section
subject: Pericondensed benzenoid system
  topic: keywords
subject: hexagonal catus chains
  topic: keywords
subject: partition resolving set
  topic: keywords
subject: partition dimension
  topic: keywords
subject: 05C12
  topic: subjects
subject: 05C90
  topic: subjects
subject: 05C15
  topic: subjects
subject: 05C62
  topic: subjects
creator: R. Nithya Raj
creator: Mana Donganont
creator: M. Chandrakala
creator: V. Govindan
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 239
ending page: 256
doi: 10.56827/SEAJMMS.2025.2103.15

A HYBRID ITERATIVE APPROACH FOR SOLVING NONLINEAR TIME-FRACTIONAL DIFFERENTIAL EQUATIONS WITH APPLICATIONS TO FRACTIONAL REACTION-TRANSPORT MODELS
type: item
description: This paper proposes a novel hybrid iterative method for the numerical solution of nonlinear fractional differential equations (FDEs) in the Liouville-Caputo sense. The methodology integrates the Formable integral transform with a new algorithm based on the Daftardar-Gejji and Jafari iterative method to provide accurate approximations for complex FDEs. The efficacy of the approach is demonstrated through applications to the chemical Schnakenberg model and the coupled one-dimensional time-fractional Keller-Segel chemotaxis model. Numerical results confirm the convergence of fractional-order solutions towards their corresponding integer-order formulations, thereby validating the precision and reliability of the proposed technique. This study contributes significantly to the computational analysis of fractional reaction-transport phenomena and offers novel insights into the dynamic characteristics of nonlinear fractional models.
subject: Research Article
  topic: section
subject: Fractional reaction-diffusion model
  topic: keywords
subject: Chemotaxis
  topic: keywords
subject: Series solution
  topic: keywords
subject: Formable integral transform
  topic: keywords
subject: Iterative technique
  topic: keywords
subject: 35R11
  topic: subjects
subject: 35C10
  topic: subjects
subject: 44A05
  topic: subjects
subject: 35K57
  topic: subjects
subject: 35Q92
  topic: subjects
creator: Keerthika V
creator: R. Prahalatha
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 99
ending page: 126
doi: 10.56827/SEAJMMS.2025.2103.7

ON SOME COLOR PARTITION IDENTITIES OF SCHUR-TYPE OVERPARTITIONS
type: item
description: Motivated by the work of Broudy and Lovejoy, who investigated arithmetic properties of an overpartition counting function $S(n)$ that arose in connection with Schur’s partition theorem and a universal mock theta function. In this article, we present a few Ramanujan-type color partition identities of $S(n)$. Our proof relies on basic identities of theta-functions.
subject: Research Article
  topic: section
subject: Overpartitions
  topic: keywords
subject: Schur-type overpartitions
  topic: keywords
subject: Color partitions
  topic: keywords
creator: K. C. Ajeyakashi
creator: C. Shivashankar
creator: S. Chandankumar
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 01
ending page: 22
doi: 10.56827/SEAJMMS.2025.2103.1

PARA-KENMOTSU MANIFOLDS ADMITTING QUARTER-SYMMETRIC METRIC CONNECTION
type: item
description: In this article, we examine para - Kenmotsu manifolds equipped with a quarter-symmetric metric connection, focusing on various geometric and curvature properties and we construct an example of a 3-dimensional para-Kenmotsu manifold which confirms the specified metric and structure fulfill the para-Kenmotsu curvature conditions. A unique relation between the curvature tensors of Para-Kenmotsu manifolds with respect to the quarter-symmetric metric connection and the Levi-Civita connection has been established. We explore the characteristics of the locally $\phi$-symmetric para-Kenmotsu manifold with respect to the quarter-symmetric metric connection and show that a para-Kenmotsu manifold admitting the quarter-symmetric metric connection $\tilde \nabla$ is locally $\phi$-symmetric if and only if it is so with respect to the Levi-Civita connection. In addition, we studied $\phi$-recurrent para-Kenmotsu manifolds with respect to the quarter-symmetric metric connection and proved that if a para-Kenmotsu manifold is $\phi$-recurrent with respect to the quarter-symmetric metric connection, then the manifold is an $\eta$-Einstein manifold with respect to the Levi-Civita connection.
subject: Research Article
  topic: section
subject: Para-Kenmotsu manifolds
  topic: keywords
subject: quarter-symmetric metric connection
  topic: keywords
subject: $\phi$-recurrent para-Kenmotsu manifolds
  topic: keywords
subject: $\phi$-symmetric para-Kenmotsu manifolds
  topic: keywords
subject: Einstein manifold
  topic: keywords
subject: 53C25
  topic: subjects
subject: 53C15
  topic: subjects
creator: Sandeep Kumar Mishra
creator: Giteshwari Pandey
creator: S. K. Pandey
creator: R. N. Singh
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 153
ending page: 168
doi: 10.56827/SEAJMMS.2025.2103.10

GENERALIZED KOTHE-TOEPLITZ DUALS OF A NEW CLASS OF SEQUENCE SPACES
type: item
description: In this paper, we determine the $p\alpha$-duals of certain newly introduced difference sequence spaces, namely $\ell_{\infty}(u,\triangle_{v}^{m},q), c_{0}(u,\triangle_{v}^{m},q),$ and $c(u,\triangle_{v}^{m},q)$. Furthermore, we investigate their topological properties and establish the conditions under which these spaces are perfect.
subject: Research Article
  topic: section
subject: Sequence spaces
  topic: keywords
subject: Köthe Toeplitz duals
  topic: keywords
subject: $\alpha$-duals
  topic: keywords
subject: $\eta$-duals
  topic: keywords
subject: 46A45
  topic: subjects
subject: 46B10
  topic: subjects
subject: 46B45
  topic: subjects
creator: Mohd Javed
creator: Seraj Ahemed Khan
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 139
ending page: 152
doi: 10.56827/SEAJMMS.2025.2103.9

ON WARPED PRODUCT QUASI GENERALIZED RECURRENT MANIFOLDS
type: item
description: Recurrent manifold is one of the important curvature restricted geometric structure and quasi generalized recurrent manifold is a proper generalization of such manifolds. The object of the present paper is to study the properties of quasi generalized recurrent warped product manifolds and to determine the necessary and sufficient conditions for a warped product manifold to be a quasi generalized recurrent manifold. Finally as a support of the main result, we present an example of warped product quasi generalized recurrent manifold.
subject: Research Article
  topic: section
subject: Recurrent manifold
  topic: keywords
subject: quasi generalized recurrent manifold
  topic: keywords
subject: recurrent like manifold
  topic: keywords
subject: warped product manifold
  topic: keywords
subject: 53C15
  topic: subjects
subject: 53C25
  topic: subjects
subject: 53C35
  topic: subjects
creator: Haradhan Kundu
creator: Indranil Roy
creator: Kanak Kanti Baishya
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 169
ending page: 180
doi: 10.56827/SEAJMMS.2025.2103.11

MAPPING PROPERTIES OF PLANAR HARMONIC FUNCTIONS VIA MILLER-ROSS FUNCTIONS
type: item
description: In this paper, we investigate the relationship between a novel class of harmonic univalent functions and the harmonic starlike and convex functions defined in the open unit disk, using a convolution operator associated with the Miller-Ross function. The importance of this investigation lies in the fact that convolution operators generated by special functions, such as the Miller–Ross function, provide powerful tools for constructing and characterizing new subclasses of harmonic mappings with rich geometric behavior. Several corollaries and related consequences of the main results are also established.
subject: Research Article
  topic: section
subject: Analytic functions
  topic: keywords
subject: Univalent functions
  topic: keywords
subject: Miller-Ross function
  topic: keywords
subject: harmonic functions
  topic: keywords
creator: Surendra M. Magar
creator: Mallikarjun G. Shrigan
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 47
ending page: 62
doi: 10.56827/SEAJMMS.2025.2103.4

ON NANO SOFT $^{s}(\mathscr{I})$-CONTINUOUS FUNCTIONS
type: item
description: In this paper, we introduce new ideas of nano soft $^{s}(\mathscr{I})$-open sets and examine a few characteristics of nano soft $^{s}(\mathscr{I})$-openess. Furthermore, we study nano soft $^{s}(\mathscr{I})$-continuous functions. Likewise, some characterization and properties are given. We compare our framework with some other well-known ones that are present in the literature.
subject: Research Article
  topic: section
subject: Nano soft $^{s}(\mathscr{I})$-open
  topic: keywords
subject: nano soft $^{s}(\mathscr{I})$-closed set
  topic: keywords
subject: nano soft $^{s}(\mathscr{I})$-continuity
  topic: keywords
subject: 54A05
  topic: subjects
subject: 68R10
  topic: subjects
creator: S. P. R. Priyalatha
creator: S. Vanitha
creator: T. Witczak
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 181
ending page: 196
doi: 10.56827/SEAJMMS.2025.2103.12

POLYNOMIAL-TIME APPROACHES TO FUZZINESS IN RATIO LABELLED GENERAL GRAPHS
type: item
description: In classical fuzzy graph theory, fuzziness is introduced by freely assigning membership values to vertices and edges, which makes every crisp graph trivially fuzzy. To avoid this limitation, we propose ratio labeling (RL), a structured labelling scheme in which vertex and edge memberships are linked by a fixed functional relationship. This approach provides a meaningful and non-trivial criterion for deciding when a graph can truly be considered fuzzy. We derive necessary and sufficient conditions under which a crisp graph becomes a fuzzy graph under ratio labelling and characterize the class of general graphs that admit fuzziness in this framework. We also present deterministic polynomial-time algorithms to label the vertices and edges of a general graph and to determine whether a given graph admits fuzziness under ratio labelling. These results offer an efficient and systematic method for studying fuzziness in general graphs and highlight the potential of ratio labelling for applications in connectivity analysis.
subject: Research Article
  topic: section
subject: Fuzzy graph
  topic: keywords
subject: Ratio Labelling
  topic: keywords
subject: Ratio Labelled fuzzy graph
  topic: keywords
subject: 05C72
  topic: subjects
creator: R. Mathu Pritha
creator: A. Amutha
rights: Copyright (c) 2026 South East Asian Journal of Mathematics and Mathematical Sciences
date: 2026-02-17
publication date: 2026-02-17
starting page: 295
ending page: 312
doi: 10.56827/SEAJMMS.2025.2103.18