Certain subclass of harmonic univalent functions defined by q-differential operator

TL;DR

This paper introduces a new subclass of harmonic univalent functions in the unit disk using q-differential operators, and establishes key properties such as coefficient inequalities, growth, and distortion theorems.

Contribution

It defines a novel subclass of harmonic univalent functions via q-differential operators and derives fundamental geometric and coefficient bounds.

Findings

Established coefficient inequalities for the subclass

Proved growth and distortion theorems

Characterized geometric properties of the subclass

Abstract

In this paper, we define certain subclass of harmonic univalent function in the unit disc U = {z in C :|z|<1} by using q-differential operator. Also we obtain coefficient inequalities, growth and distortion theorems for this subclass.