Fourth Hankel and Toeplitz determinant estimates for certain analytic functions associated with Four Leaf function

The objective of this paper is to establish initial coefficient inequalities, Upper bounds to the Hankel and Toeplitz determinants for certain normalized univalent functions defined on the open unit disk D in the complex plane related to the analytic function ϕ4L (z) = 1 + 5z/6 + z5/6 that maps the open unit disk in the complex plane onto the interior of four leaf shaped domain in the right half of the complex plane.

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Publication Details

Journal
Extracta Mathematicae
Published
2025-12-17
DOI
https://doi.org/10.17398/2605-5686.40.2.197
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Fourth Hankel and Toeplitz determinant estimates for certain analytic functions associated with Four Leaf function

R. B. Sharma, S. Sambasiva Rao, R. Rudrani
Extracta Mathematicae
Analytic and geometric function theory
article

Fourth Hankel and Toeplitz determinant estimates for certain analytic functions associated with Four Leaf function

R. B. Sharma, S. Sambasiva Rao, R. Rudrani
article en

Abstract

The objective of this paper is to establish initial coefficient inequalities, Upper bounds to the Hankel and Toeplitz determinants for certain normalized univalent functions defined on the open unit disk D in the complex plane related to the analytic function ϕ4L (z) = 1 + 5z/6 + z5/6 that maps the open unit disk in the complex plane onto the interior of four leaf shaped domain in the right half of the complex plane.

Extracta MathematicaeVol. 40(2)
National Institute of Technology Warangal (IN), Kakatiya University (IN), CT Group Of Institutions (IN), Government Dental College and Hospital (IN)
Openalex Percentile: Top 55%
Analytic and geometric function theory
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