A Family of Holomorphic and m-Fold Symmetric Bi-Univalent Functions Endowed with Coefficient Estimate Problems-Reference-Cited by-同舟云学术

A Family of Holomorphic and m-Fold Symmetric Bi-Univalent Functions Endowed with Coefficient Estimate Problems

Published:2023-09-19 Issue:18 Volume:11 Page:3970
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Sabir Pishtiwan Othman¹,Srivastava Hari Mohan²³⁴^ORCID,Atshan Waggas Galib⁵^ORCID,Mohammed Pshtiwan Othman⁶^ORCID,Chorfi Nejmeddine⁷,Vivas-Cortez Miguel⁸^ORCID

Affiliation:

1. Department of Mathematics, College of Science, University of Sulaimani, Sulaimani 46001, Kurdistan Region, Iraq

2. Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada

3. Center for Converging Humanities, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea

4. Section of Mathematics, International Telematic University Uninettuno, I-00186 Rome, Italy

5. Department of Mathematics, College of Science, University of Al-Qadisiyah, Al-Diwaniyah 58001, Al-Qadisiyah, Iraq

6. Department of Mathematics, College of Education, University of Sulaimani, Sulaimani 46001, Kurdistan Region, Iraq

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

8. Faculty of Exact and Natural Sciences, School of Physical Sciences and Mathematics, Pontifical Catholic University of Ecuador, Av. 12 de Octubre 1076 y Roca, Quito 170143, Ecuador

Abstract

This paper presents a new general subfamily NΣmu,v(η,μ,γ,ℓ) of the family Σm that contains holomorphic normalized m-fold symmetric bi-univalent functions in the open unit disk D associated with the Ruscheweyh derivative operator. For functions belonging to the family introduced here, we find estimates of the Taylor–Maclaurin coefficients am+1 and a2m+1, and the consequences of the results are discussed. The current findings both extend and enhance certain recent studies in this field, and in specific scenarios, they also establish several connections with known results.

Publisher

MDPI AG

Subject

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

Link

https://www.mdpi.com/2227-7390/11/18/3970/pdf

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