A Study of Spiral-Like Harmonic Functions Associated with Quantum Calculus

Abstract

This article introduces new subclasses of harmonic univalent functions associated with $q$ -difference operator. Modified $q$ -multiplier transformation is defined, and certain geometric properties such as the sufficient condition, distortion result, extreme points, and invariance of convex combination of the elements of the subclasses are discussed by employing the newly defined $q$ -operator. Also, various well-known results already proved in the literature are pointed out.