Fekete-Szegö inequality for a subclass of analytic functions associated with Gegenbauer polynomials

Authors

  • M. Kamali Kyrgyz-Turkish Manas University, Chyngyz Aitmatov Av., Bishkek, Kyrgyz Republic
https://doi.org/10.15330/cmp.14.2.582-591

Keywords:

analytic and univalent function, typically real function, subordination, Gegenbauer polynomial, coefficient estimate, Fekete-Szegö inequality
Published online: 2022-12-30

Abstract

In this paper, we define a subclass of analytic functions by denote TβH(z,C(λ)n(t)) satisfying the following subordinate condition (1β)(zf(z)f(z))+β(1+zf(z)f(z))1(12tz+z2)λ, where β0, λ0 and t(12,1]. We give coefficient estimates and Fekete-Szegö inequality for functions belonging to this subclass.

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How to Cite
(1)
Kamali, M. Fekete-Szegö Inequality for a Subclass of Analytic Functions Associated With Gegenbauer Polynomials. Carpathian Math. Publ. 2022, 14, 582-591.