A family of Analytic Functions Subordinate to Horadam Polynomials

Authors

  • Waleed AlRawashdeh Zarqa University

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i1.5022

Keywords:

Analytic Functions; Taylor-Maclaurin Series; Principle of Subordination; Horadam Polynomials; Chebyshev polynomials; Coefficient estimates; Fekete-Szeg\

Abstract

In this paper, we introduce and investigate a family of analytic functions, denoted by $\mathcal{F}(\Pi, \alpha, \beta, \lambda, \delta, \mu)$, defined by means of Horadam polynomials. For functions in this family, we derive the estimations for the initial Taylor-Maclaurin coefficients $|a_2|$ and $|a_3|$. Moreover, we obtain the classical Fekete-Szeg\"{o} inequality of functions belonging to this family.

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Published

2024-01-31

Issue

Section

Nonlinear Analysis

How to Cite

A family of Analytic Functions Subordinate to Horadam Polynomials. (2024). European Journal of Pure and Applied Mathematics, 17(1), 158-170. https://doi.org/10.29020/nybg.ejpam.v17i1.5022