Coefficient bounds of m-fold symmetric bi-univalent functions for certain subclasses

Document Type : Research Paper

Authors

Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Anbar, Iraq

Abstract

In this article, the authors introduce two new subclasses of a class m-fold symmetric biunivalent functions in open unit disk. Coefficient bounds for the Taylor-Maclaurin coefficients |am+1| and |a2m+1| are obtained. Furthermore, we solve ”Fekete-Szeg” ”o” functional problems for functions in FP,m(γ, µ, ϑ) and MP,m(κ, η, ϑ). Also, several certain special improver results for the associated classes are presented.

Keywords