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

S. Prathiba; Thomas Rosy; G. Murugusundaramoorthy

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

S. Prathiba Department of Mathematics, Madras Christian College, Chennai, Tamil Nadu, INDIA

Thomas Rosy Department of Mathematics, Madras Christian College, Chennai, Tamil Nadu, INDIA

G. Murugusundaramoorthy Department of Mathematics, Vellore Institute of Technology, Vellore, Tamil Nadu, INDIA

Volume 21, Issue 3 Pages 23-32 December 30, 2025 1 downloads

Article overview

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.

Keywords and Phrases

S$\check{a}$l$\check{a}$gean differential operatorHoradam polynomialscoefficient estimatesFekete-Szeg\"{o} inequality.

AMS Subject Classification

30C45, 30C50.

Reference information

How to Cite

S. Prathiba, Thomas Rosy, G. Murugusundaramoorthy (2025). FEKETE-SZEG\"{O} INEQUALITY FOR ANALYTIC AND BI-UNIVALENT FUNCTIONS RELATED WITH HORADAM POLYNOMIALS. South East Asian Journal of Mathematics and Mathematical Sciences, 21(3), 23-32.

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