On Hankel and Inverse Hankel Determinants of Order Two for Some Subclasses of Analytic Functions-Reference-Cited by-同舟云学术

On Hankel and Inverse Hankel Determinants of Order Two for Some Subclasses of Analytic Functions

Published:2023-08-30 Issue:9 Volume:15 Page:1674
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Shah Nehad Ali¹,Turki Naseer Bin²^ORCID,Lee Sang-Ro³,Kang Seonhui³,Chung Jae Dong¹^ORCID

Affiliation:

1. Department of Mechanical Engineering, Sejong University, Seoul 05006, Republic of Korea

2. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

3. WP Co., Ltd., Suncheon-si 58023, Republic of Korea

Abstract

In view of the subclass SL*(β), which for β=0 reduces to the class SL*, two more subclasses CL(β) and GL(β) are introduced. For all these three subclasses, we investigate upper bounds of second Hankel and second inverse Hankel determinates. In most of the cases, the results are sharp.

Funder

Researchers Supporting Project

Korea government

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/9/1674/pdf

Reference22 articles.

1. On the coefficients and Hankel determinants of univalent functions;Pommerenke;J. Lond. Math. Soc.,1966

2. Dienes, P. (1957). Dover Books on Science S, Dober Publication.

3. Power Series with Integral Coefficients;Cantor;Bull. Am. Math. Soc.,1963

4. Sur les determinants récurrents et les singularités d’une function donnée par son development de Taylor;Edrei;Compos. Math.,1940

5. Remarks on de la Vallée Poussin means and convex conformal maps of the circle;Schoenberg;Pacific J. Math.,1958