On the Fekete–Szegö Problem for Certain Classes of (<i>γ</i>,<i>δ</i>)-Starlike and (<i>γ</i>,<i>δ</i>)-Convex Functions Related to Quasi-Subordinations

Abstract

In the present paper, we propose new generalized classes of (p,q)-starlike and (p,q)-convex functions. These classes are introduced by making use of a (p,q)-derivative operator. There are established Fekete–Szegö estimates |a3−μa22| for functions belonging to the newly introduced subclasses. Certain subclasses of analytic univalent functions associated with quasi-subordination are defined.

Keywords

• analytic functions
• subordination
• quasi-subordination
• Fekete–Szegö inequality