On a Subfamily of <i>q</i>-Starlike Functions with Respect to <i>m</i>-Symmetric Points Associated with the <i>q</i>-Janowski Function

Abstract

The main objective of this paper is to study a new family of analytic functions that are q-starlike with respect to m-symmetrical points and subordinate to the q-Janowski function. We investigate inclusion results, sufficient conditions, coefficients estimates, bounds for Fekete–Szego functional |a3−μa22| and convolution properties for the functions belonging to this new class. Several consequences of main results are also obtained.

Keywords

• analytic functions
• univalent functions
• <i>q</i>-difference operator
• <i>q</i>-starlike functions
• <i>m</i>-symmetric points
• Janowski functions