A comprehensive subclass of bi-univalent functions defined by a linear combination and satisfying subordination conditions-Reference-Cited by-同舟云学术

A comprehensive subclass of bi-univalent functions defined by a linear combination and satisfying subordination conditions

Published:2023 Issue:12 Volume:8 Page:29975-29994
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Srivastava Hari Mohan¹²³,Sabir Pishtiwan Othman⁴,Abdullah Khalid Ibrahim⁵,Mohammed Nafya Hameed⁵,Chorfi Nejmeddine⁶,Mohammed Pshtiwan Othman⁷

Affiliation:

1. Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada

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

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

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

5. Department of Mathematics, College of Basic Education, University of Raparin, Ranya, Kurdistan Region, Iraq

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

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

Abstract

<abstract><p>In this article, we derive some estimates for the Taylor-Maclaurin coefficients of functions that belong to a new general subclass $ \Upsilon_\Sigma(\delta, \rho, \tau, n;\varphi) $ of bi-univalent functions in an open unit disk, which is defined by using the Ruscheweyh derivative operator and the principle of differential subordination between holomorphic functions. Our results are more accurate than the previous works and they generalize and improve some outcomes that have been obtained by other researchers. Under certain conditions, the derived bounds are smaller than those in the previous findings. Furthermore, if we specialize the parameters, several repercussions of this generic subclass will be properly obtained.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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