A family of holomorphic and m-fold symmetric bi-univalent functions endowed with coefficient estimate problems

Date

2023

Authors

Sabir, Pishtiwan Othman
Srivastava, Hari Mohan
Atshan, Waggas Galib
Mohammed, Pshtiwan Othman
Chorfi, Nejmeddine
Vivas-Cortez, Miguel

Journal Title

Journal ISSN

Volume Title

Publisher

Mathematics

Abstract

This paper presents a new general subfamily Nu,v Σm (η,µ,γ, ) 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.

Description

Keywords

holomorphic functions, univalent functions, m-fold symmetric bi-univalent functions, bi-starlike functions, bi-convex functions, Ruscheweyh derivative operator

Citation

Sabir, P. O., Srivastava, H. M., Atshan, W. G., Mohammed, P. O., Chorfi, N., & Vivas-Cortez, M. (2023). A family of holomorphic and m-fold symmetric bi-univalent functions endowed with coefficient estimate problems. Mathematics, 11(18), 3970. https://doi.org/10.3390/math11183970