Sharp Coefficient and Hankel Problems Related to a Symmetric Domain-Reference-Cited by-同舟云学术

Sharp Coefficient and Hankel Problems Related to a Symmetric Domain

Published:2023-10-04 Issue:10 Volume:15 Page:1865
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Tang Huo¹,Ahmad Adeel²,Rasheed Akhter³,Ali Asad²,Hussain Saqib³,Noor Saima⁴^ORCID

Affiliation:

1. School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China

2. Department of Mathematics and Statistics, Hazara University Mansehra, Mansehra 21120, Pakistan

3. Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Pakistan

4. Department of Basic Sciences, Preparatory Year Deanship, King Faisal University, Al Ahsa 31982, Saudi Arabia

Abstract

In the current article, we utilize the concept of subordination to establish a new subclass of analytic functions associated with a bounded domain that is symmetric about the real axis. By applying the convolution technique, we derive the necessary and sufficient condition, the radius of convexity for this recently introduced class. Furthermore, we prove the sharp upper bounds for the second-order Hankel determinants |H2,1ξ|,|H2,2ξ| and third-order Hankel determinant |H3,1ξ| for the functions ξ belonging to the newly defined class.

Funder

Natural Science Foundation of the People’s Republic of China

Natural Science Foundation of Inner Mongolia of the People’s Republic of China

program for young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region

Higher School Foundation of Inner Mongolia of the People’s Republic of China

program for Key Laboratory Construction of Chifeng University

Research and Innovation Team of Complex Analysis and Nonlinear Dynamic Systems of Chifeng University

Publisher

MDPI AG

Subject

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

Link

https://www.mdpi.com/2073-8994/15/10/1865/pdf

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