$q$-Analogue of a New Subclass of Harmonic Univalent Functions Defined by Fractional Calculus Operator

Abstract

The purpose of the present paper is to introduce a new subclass of harmonic univalent functions by using fractional calculus operator associated with $q$-calculus. Coefficient condition, extreme points, distortion bounds, convolution and convex combination are obtained for this class. Finally, we discuss a class preserving integral operator for this class.