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

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 (1−β)(zf′(z)f(z))+β(1+zf′′(z)f′(z))≺1(1−2tz+z2)λ, where β≥0, λ≥0 and t∈(12,1]. We give coefficient estimates and Fekete-Szegö inequality for functions belonging to this subclass.
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.