Bounds for Toeplitz Determinants and Related Inequalities for a New Subclass of Analytic Functions-Reference-Cited by-同舟云学术

Bounds for Toeplitz Determinants and Related Inequalities for a New Subclass of Analytic Functions

Published:2023-09-18 Issue:18 Volume:11 Page:3966
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Tang Huo¹,Gul Ihtesham²³,Hussain Saqib⁴,Noor Saima⁵^ORCID

Affiliation:

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

2. Department of Mathematics, COMSATS University Islamabad, Islamabad 45550, Pakistan

3. Department of Mathematics, Government Postgraduate College Mandian, Abbottabad 22010, Pakistan

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

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

Abstract

In this article, we use the q-derivative operator and the principle of subordination to define a new subclass of analytic functions related to the q-Ruscheweyh operator. Sufficient conditions, sharp bounds for the initial coefficients, a Fekete–Szegö functional and a Toeplitz determinant are investigated for this new class of functions. Additionally, we also present several established consequences derived from our primary findings.

Funder

Natural Science Foundation of China

Natural Science Foundation of Inner Mongolia of China

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

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

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/18/3966/pdf

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