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Index Type : ESCI ✕Subject Headings : hankel determinant ✕
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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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ON BOUNDS OF TOEPLITZ DETERMINANTS FOR A SUBCLASS OF ANALYTIC FUNCTIONS

Muhammet KAMALİ | Alina RISKULOVA

In the present article, our aim is to investigate the problem of obtaining upper bounds for T2(2), T2(3), T3(2) and T3(1), which are special cases of the symmetric Toeplitz determinant for functions belonging to the M(A, n) subclass. Keyword: convex function; hankel determinant; starlike function; toeplitz determinant; univalent function

Article 2022 Fen Fakültesi Bulletin of Mathematical Analysis and Applications14 ( 3 ) 29 Views
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