Coefficient Inequalities of q-Bi-Univalent Mappings Associated with q-Hyperbolic Tangent Function-Reference-Cited by-同舟云学术

Coefficient Inequalities of q-Bi-Univalent Mappings Associated with q-Hyperbolic Tangent Function

Published:2023-09-07 Issue:9 Volume:7 Page:675
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Shaba Timilehin¹^ORCID,Araci Serkan²^ORCID,Ro Jong-Suk³⁴^ORCID,Tchier Fairouz⁵^ORCID,Adebesin Babatunde¹,Zainab Saira⁶^ORCID

Affiliation:

1. Department of Physical Sciences, Landmark University, Omu-Aran 251103, Nigeria

2. Department of Basic Sciences, Faculty of Engineering, Hasan Kalyoncu University, Gaziantep 27010, Türkiye

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

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

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

6. School of Electrical Engineering and Computer Science (SEECS), National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan

Abstract

The present study introduces a new family of analytic functions by utilizing the q-derivative operator and the q-version of the hyperbolic tangent function. We find certain inequalities, including the coefficient bounds, second Hankel determinants, and Fekete–Szegö inequalities, for this novel family of bi-univalent functions. It is worthy of note that almost all the results are sharp, and their corresponding extremal functions are presented. In addition, some special cases are demonstrated to show the validity of our findings.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/9/675/pdf

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