FEKETE-SZEG\"{O} INEQUALITY FOR ANALYTIC AND BI-UNIVALENT FUNCTIONS RELATED WITH HORADAM POLYNOMIALS

Authors

  • S. Prathiba Department of Mathematics, Madras Christian College, Chennai, Tamil Nadu, INDIA Author
  • Thomas Rosy Department of Mathematics, Madras Christian College, Chennai, Tamil Nadu, INDIA Author
  • G. Murugusundaramoorthy Department of Mathematics, Vellore Institute of Technology, Vellore, Tamil Nadu, INDIA Author

DOI:

https://doi.org/10.56827/SEAJMMS.2025.2103.2

Keywords:

S$\check{a}$l$\check{a}$gean differential operator, Horadam polynomials, coefficient estimates, Fekete-Szeg\"{o} inequality.

Abstract

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.

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Published

2026-02-17

Issue

Vol. 21 No. 3 (2025): South East Asian Journal of Mathematics and Mathematical Sciences

Section

Research Article