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

Muhammet KAMALİ

In this paper, we define a subclass of analytic functions by denote (Formula Presented) satisfying the following subordinate condition (Formula Presented) where (Formula Presented). We give coefficient estimates and Fekete-Szegö inequality for functions belonging to this subclass.

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On the upper bounds of Hankel determinants for some subclasses of univalent functions associated with sine functions

Muhammet KAMALİ | Alina RISKULOVA

Let a normalized analytic function be given on the open unit disk. In this paper, we define and consider some familiar subsets of analytic functions associated with sine functions in the region of unit disk on the complex plane. For these classes, we aim to find the upper bounds of the modules of the Hankel determinants obtained from the coefficients of the functions belonging to some classes defined by subordination. Keyword: analytic functions; coefficient estimates; convex function; hankel determinant; sine function; starlike functions; subordination

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Fekete-Szego Problem for a Subclass of Analytic Functions Associated with Chebyshev Polynomials

Muhammet KAMALİ

In this paper, we obtain initial coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical bar for a certain subclass by means of Chebyshev polynomials expansions of analytic functions in D. Also, we solve Fekete-Szego problem for functions in this subclass.

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