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

Authors

DOI:

https://doi.org/10.11121/ijocta.1392

Keywords:

Analytic functions, Coefficient estimates, Subordination, Hankel determinant, Starlike functions, Convex function, Sine function

Abstract

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.

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Author Biographies

Muhammet Kamali, Department of Mathematics, Faculty of Sciences, Kyrgyz-Türkish Manas University

Muhammet Kamali received his doctoral degree from Atatürk University. Currently, he is serving as a professor in the Department of Mathematics at Kyrgyz-Turkish Manas University. His area of interest is complex analysis.

Alina Riskulova, Department of Mathematics, Faculty of Sciences, Kyrgyz-Türkish Manas University

Alina Riskulava received his master’s degree from Kyrgyz-Turkish Manas University. His area of interest is complex analysis.

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Published

2023-12-12
CITATION
DOI: 10.11121/ijocta.1392
Published: 2023-12-12

How to Cite

Kamali, M., & Riskulova, A. (2023). On the upper bounds of Hankel determinants for some subclasses of univalent functions associated with sine functions. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 14(1), 41–49. https://doi.org/10.11121/ijocta.1392

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Research Articles