A Family of Holomorphic and <i>m</i>-Fold Symmetric Bi-Univalent Functions Endowed with Coefficient Estimate Problems
Pishtiwan Othman Sabir,
Hari Mohan Srivastava,
Waggas Galib Atshan,
Pshtiwan Othman Mohammed,
Nejmeddine Chorfi,
Miguel Vivas-Cortez
Affiliations
Pishtiwan Othman Sabir
Department of Mathematics, College of Science, University of Sulaimani, Sulaimani 46001, Kurdistan Region, Iraq
Hari Mohan Srivastava
Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
Waggas Galib Atshan
Department of Mathematics, College of Science, University of Al-Qadisiyah, Al-Diwaniyah 58001, Al-Qadisiyah, Iraq
Pshtiwan Othman Mohammed
Department of Mathematics, College of Education, University of Sulaimani, Sulaimani 46001, Kurdistan Region, Iraq
Nejmeddine Chorfi
Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Miguel Vivas-Cortez
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
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.
