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Кафедра : Matematik Bölümü ✕Тематический рубрикатор : analytic functions ✕

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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

Статья 2024 Fen Fakültesi International Journal of Optimization and Control: Theories & Applications14 ( 1 ) 4 Просмотры

A study of the Fekete-Szego functional and coefficient estimates for subclasses of analytic functions satisfying a certain subordination condition and associated with the Gegenbauer polynomials

Muhammet KAMALİ | Anarkül URDALETOVA

In this paper, we introduce and study a new subclass of normalized analytic functions, denoted by F-(beta,gamma())(alpha, delta, mu, H(z, C-n((lambda)) (t) )), satisfying the following subordination condition and associated with the Gegenbauer (or ultraspherical) polynomials C-n((lambda))(t) of order lambda and degree n in t: alpha (zG' (z)/G (z))(delta) + (1 - alpha) (alpha(zG' (z)/G (z))(mu) (1 + alpha(zG' (z)/G' (z))delta)(1-mu) < H(z, C-n((lambda)) (t) ), where H(z,C-n(()lambda) (t) ) = Sigma(infinity)(n=0) C-n(()lambda) (t) zn = (1 - 2tz + z(2))(-lambda), G(z) = gamma beta z(2) f" (z) + ( ...Более

Статья 2022 Fen Fakültesi AIMS Mathematics7 ( 2 ) 78 Просмотры

The Fekete-Szegö inequality for subclasses of analytic functions related to modified Sigmoid functions

Muhammet KAMALİ

In this paper, the authors investigate the initial coefficient bounds for a new generalized subclass of analytic functions related to Sigmoid functions. Also, the relevant connections with the famous classical Fekete?Szegö inequality for these classes are discussed.

Статья 2020 Fen Fakültesi Turkish Journal of Mathematics44 ( 3 ) 40 Просмотры

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