Coefficient Problems in a Class of Functions with Bounded Turning Associated with Sine Function

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v14i1.3902

Keywords:

Holomorphic functions, Subordinations, Trigonometric function, Hankel determinant

Abstract

The Hankel determinant for a function having power series was first defined by Pommerenke. The growth of Hankel determinant has been evaluated for different subcollections of univalent functions. Many subclasses with bounded turning are several interesting geometric properties. In this paper, some classes of functions with bounded turning which connect to the sine function are studied in the region of the unit disc in order. Our purpose is to obtain some upper bounds for the third and fourth Hankel determinants related to such classes.

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Published

2021-01-31

Issue

Vol. 14 No. 1: (January 2021)

Section

Nonlinear Analysis

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

Coefficient Problems in a Class of Functions with Bounded Turning Associated with Sine Function. (2021). European Journal of Pure and Applied Mathematics, 14(1), 53-64. https://doi.org/10.29020/nybg.ejpam.v14i1.3902