Zalcman Functional and Majorization Results for Certain Subfamilies of Holomorphic Functions-Reference-Cited by-同舟云学术

Zalcman Functional and Majorization Results for Certain Subfamilies of Holomorphic Functions

Published:2023-09-08 Issue:9 Volume:12 Page:868
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Khan Muhammad Ghafar¹^ORCID,Khan Bilal²^ORCID,Tawfiq Ferdous M. O.³^ORCID,Ro Jong-Suk⁴⁵^ORCID

Affiliation:

1. Institute of Numerical Sciences, Kohat University of Sciences and Technology, Kohat 26000, Pakistan

2. School of Mathematical Sciences and Shanghai Key Laboratory of PMMP, East China Normal University, 500 Dongchuan Road, Shanghai 200241, China

3. Department of Mathematics, College of Science, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia

4. School of Electrical and Electronics Engineering, Chung-Ang University, Dongjak-gu, Seoul 06974, Republic of Korea

5. Department of Intelligent Energy and Industry, Chung-Ang University, Dongjak-gu, Seoul 06974, Republic of Korea

Abstract

In this paper, we investigate sharp coefficient functionals, like initial four sharp coefficient bounds, sharp Fekete–Szegö functionals, and, for n=1 and 2, sharp Zalcman functionals are evaluated for class of functions associated with tangent functions. Furthermore, we provide some majorization results for some non-vanishing holomorphic functions, whose ratios are related to various domains in the open unit disk.

Funder

The National Research Foundation of Korea

The Korea Institute of Energy Technology Evaluation and Planning

King Saud University

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/9/868/pdf

Reference41 articles.

1. Uber die Koeffizienten derjenigen Potenzreihen, welche eine schlichte Abbildung des Einheitskreises vermitteln;Bieberbach;Sitzungsberichte Preuss. Akad. Wiss.,1916

2. A proof of the Bieberbach conjecture;Acta Math.,1985

3. Quasi-subordination and coefficient conjectures;Roberston;Bull. Am. Math. Soc.,1970

4. Majorization by univalent functions;MacGregor;Duke Math. J.,1967

5. Majorization properties for a new subclass of θ-spiral functions of order γ;Tang;Math. Slovaca,2014

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