Initial Coefficient Bounds for Bi-Close-to-Convex Classes of <i>n</i>-Fold-Symmetric Bi-Univalent Functions

Abstract

In this article, the strong class of bi-close-to-convex functions of order α and β in n-fold symmetric bi-univalent functions, which is the subclass of σ, is introduced. The upper bound value for an+1, a2n+1 for functions in these classes are obtained. Moreover, the Fekete–Szegö relation for our classes of functions are established.

Keywords

• n-fold symmetric function
• bi-univalent functions
• univalent function
• analytic function