Certain geometric properties of planar harmonic mapping involving four parameter Wright functions

TL;DR

This paper constructs harmonic mappings using four parameter Wright functions and establishes conditions for their geometric properties like starlikeness and convexity, contributing new theoretical insights into harmonic mapping subclasses.

Contribution

It introduces novel harmonic mappings based on Wright functions and provides new sufficient conditions for their geometric properties.

Findings

Established conditions for harmonic starlikeness and convexity.

Analyzed relations among subclasses of harmonic close-to-convex mappings.

Presented several consequences illustrating the significance of the results.

Abstract

The primary aim of this paper is to construct harmonic mapping associated with four parameter Wright functions. Further sufficient conditions have been established so that this harmonic mapping satisfies geometric properties such as harmonic starlikeness and convexity. Moreover, we examine relation between several subclasses of family of harmonic close-to-convexity mappings. The results obtained in this paper are novel and their significance is illustrated by several consequences.