Upper bound Estimates of Fourth Order Hankel and Toeplitz Determinants for Certain Analytic Functions Connected with Three Leaf Function

Authors

Keywords:

Univalent functions, Three Leaf domain, coefficient inequalities, Hankel determinants, Toeplitz determinants

Abstract

The purpose of this paper is to compute upper bounds of Hankel and Toeplitz determinants up to fourth order for some normalized univalent functions defined on the open unit disk in the complex plane associated with three leaf function. Suitable examples are provided in support of proven results.

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Author Biographies

Bharavi Sharma Rayaprolu

Assistant Professor at the Department of Mathematics, Kakatiya University, Warangal-506009, Telangana State,

Sambasiva Rao Siginam

Assistant professor at the Department of Humanities and Sciences, SVS Group of Institutions, Warangal-506015, Telangana State, India

Published

13-08-2025

How to Cite

RANGU, R., Rayaprolu, B. S. . ., & Siginam, S. R. . (2025). Upper bound Estimates of Fourth Order Hankel and Toeplitz Determinants for Certain Analytic Functions Connected with Three Leaf Function. Communications in Mathematics and Applications, 16(1). Retrieved from https://www.journals.rgnpublications.com/index.php/cma/article/view/2920

Issue

Vol. 16 No. 1 (2025)

Section

Research Article

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