Sharp Results for a New Class of Analytic Functions Associated with the q-Differential Operator and the Symmetric Balloon-Shaped Domain-Reference-Cited by-同舟云学术

Sharp Results for a New Class of Analytic Functions Associated with the q-Differential Operator and the Symmetric Balloon-Shaped Domain

Published:2024-09-02 Issue:9 Volume:16 Page:1134
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Ahmad Adeel¹,Gong Jianhua²^ORCID,Rasheed Akhter³,Hussain Saqib³^ORCID,Ali Asad¹,Cheikh Zeinebou²

Affiliation:

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

2. Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, United Arab Emirates

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

Abstract

In our current study, we apply differential subordination and quantum calculus to introduce and investigate a new class of analytic functions associated with the q-differential operator and the symmetric balloon-shaped domain. We obtain sharp results concerning the Maclaurin coefficients the second and third-order Hankel determinants, the Zalcman conjecture, and its generalized conjecture for this newly defined class of q-starlike functions with respect to symmetric points.

Funder

United Arab Emirates University, UAEU Program for Advanced Research

SURE+

Publisher

MDPI AG

Link

https://www.mdpi.com/2073-8994/16/9/1134/pdf

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