HERMITE BASED UNIFIED APOSTOL-BERNOULLI-EULER POLYNOMIALS

Authors

  • Nabiullah Khan Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh - 202002, (U.P.), INDIA Author https://orcid.org/0000-0003-0389-7899
  • Mohd Zeeshan Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh - 202002, (U.P.), INDIA Author https://orcid.org/0009-0006-5923-6212
  • Owais Khan Department of Mathematics and Statistics, Integral University, Lucknow - 226026, (U.P.), INDIA Author https://orcid.org/0000-0003-1565-4122
  • Nafis Ahmad Department of Mathematics, Shibli National Collage, Azamgarh - 276001, (U.P.), INDIA Author

DOI:

https://doi.org/10.56827/SEAJMMS.2026.2201.8

Keywords:

Bernoulli polynomials, Euler polynomials, Hermite-Bernoulli polynomial of Apostol type, Hermite Euler polynomial of Apostol type, Hermite Bernoulli polynomial, Hermite Euler polynomial

Abstract

In this paper, we present a novel category of generalized Hermite based unified Apostol-Bernoulli-Euler polynomials and drive several implicit summation formulas through generating functions. These results extend some known summations and identities of unified Bernoulli-Euler polynomials of Apostol type, generalized Hermite-Bernoulli polynomials, and generalized Hermite-Euler polynomial.

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Published

30-04-2026

Issue

Vol. 22 No. 1 (2026): South East Asian Journal of Mathematics and Mathematical Sciences

Section

Research Article