On Bi-Univalent Subclass of Star-Like Function

Ibrahim IO, Chamalwa MA and Abdullahi M

Published on: 2024-02-29

Abstract

This paper presents new ????????? and ?????????(????) of ???? that are analytic in the open unit disc ∪={????:????∈? ???????????? |????|<1} that belongs to the class of star-like function. The study provides some
interesting subclass and result were obtained for the coefficient bound |????2| and |????3|for the Taylor–Maclaurin coefficient.

Keywords

Star-like function; Convex function; Analytic functions; Inverse function; Koebe function coefficient bounds; Univalent functions bi-univalent functions; Taylor– Maclaurin series

Introduction

Suppose, and represents the sets of national number, real number and complex numbers respectively and represent the class of function of the form.