MAPPING PROPERTIES OF PLANAR HARMONIC FUNCTIONS VIA MILLER-ROSS FUNCTIONS

Abstract

In this paper, we investigate the relationship between a novel class of harmonic univalent functions and the harmonic starlike and convex functions defined in the open unit disk, using a convolution operator associated with the Miller-Ross function. The importance of this investigation lies in the fact that convolution operators generated by special functions, such as the Miller–Ross function, provide powerful tools for constructing and characterizing new subclasses of harmonic mappings with rich geometric behavior. Several corollaries and related consequences of the main results are also established.