CERTAIN ASPECTS OF ANALYTIC FUNCTION SUBCLASSES ASSOCIATED WITH LAGUERRE POLYNOMIALS

Abstract

In this research article, two novel subclasses of analytic functions denoted by $\mathcal{R}_{lag}$ and $\mathcal{C}_{lag}$ are defined through subordination involving Laguerre polynomials. The initial coefficients of the functions belonging to these classes are determined and the corresponding Fekete- szeg\"{o} inequalities are derived. In addition, analogous results are obtained for the inverse function $h^{-1}$. As an application to the main results, we examine their connection with the Pòlya- Eggenberger distribution.

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Author Biography

Thomas Rosy, Madras Christian College (University of Madras), Chennai

Dr. Thomas Rosy,

Associate Professor, 

Department of Mathematics, 

Madras Christian College, 

Chennai

Published
2026-02-03
Section
International Conf. on Recent Trends in Appl. and Comput. Mathematics - ICRTACM