Subordination problems for a new class of Bazilevič functions associated with k-symmetric points and fractional q-calculus operators

Abstract

In this article, we introduce and investigate a new class of Bazilevič functions with respect to k-symmetric points defined by using fractional q-calculus operators that are analytic in the open unit disk D. Several interesting subordination problems are also derived for the functions belonging to this new class.

Keywords

• univalent functions
• starlike with respect to symmetric points
• bazilevič functions
• fractional q-calculus operators
• subordination