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Department : Matematik Bölümü ✕Subject Headings : coefficient estimate ... ✕
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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

Article 2024 Fen Fakültesi International Journal of Optimization and Control: Theories & Applications14 ( 1 ) 4 Views
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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) + ( ...More

Article 2022 Fen Fakültesi AIMS Mathematics7 ( 2 ) 78 Views
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Fekete-Szego problem for a new subclass of analytic functions satisfying subordinate condition associated with Chebyshev polynomials

Muhammet KAMALİ

In this paper,we define a class of analytic functions F-(beta,lambda()) (H, alpha, delta, mu), satisfying the following subordinate condition associated with Chebyshev polynomials {alpha[zG' (z)/G (z)](delta) + (1 - alpha) [zG' (z)/G (z)](mu) [1 + zG '' (z)/G' (z)](1-mu)} < H (z, t), where G(z) = lambda beta z(2)f '' (z) + (lambda - beta) zf' (z) + (1 - lambda + beta) f (z) , 0

Article 2021 Fen Fakültesi Turkish Journal of Mathematics45 ( 3 ) 99 Views
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A certain subclass of bi-univalent functions associated with Bell numbers and q-Srivastava Attiya operator

Muhammet KAMALİ

In the present study, we introduced general a subclass of bi-univalent functions by using the Bell numbers and q-Srivastava Attiya operator. Also, we investigate coefficient estimates and famous Fekete-Szego inequality for functions belonging to this interesting class.

Article 2020 Fen Fakültesi AIMS Mathematics5 ( 6 ) 85 Views
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