Estimates of Coefficient for Certain Subclasses of k-Fold Symmetric Bi-Univalent Functions

Abdul Rahman S.  Juma; Ali  Al-Fayadh; Nihad H.  Shehab

doi:10.24996/ijs.2022.63.5.29

Authors

Abdul Rahman S. Juma College of Education for Pure Sciences , University of Anbar , Anbar, Iraq
Ali Al-Fayadh College of Sciences , Nahrain University; Baghdad , Iraq
Nihad H. Shehab College of Education for Pure Sciences, University of Anbar , Anbar , Iraq https://orcid.org/0000-0002-7017-4490

DOI:

https://doi.org/10.24996/ijs.2022.63.5.29

Keywords:

Analytic functions, Bi-Univalent functions, k-Fold Symmetric Function, Univalent functions

Abstract

In the present paper, the authors introduce and investigates two new subclasses and, of the class k-fold bi-univalent functions in the open unit disk. The initial coefficients for all of the functions that belong to them were determined, as well as the coefficients for functions that belong to a field determining these coefficients requires a complicated process. The bounds for the initial coefficients and are contained among the remaining results in our analysis are obtained. In addition, some specific special improver results for the related classes are provided.