On Meromorphic Harmonic Functions Associated with the Polylogarithm Function

This paper examines the relationship between the classical polylogarithm function and meromorphic harmonic univalent mappings. Using a convolution operator derived from the polylogarithm function, we define a class of harmonic meromorphic functions and study its properties. We obtain sharp coefficient bounds, growth estimates, extreme points, and geometric characterizations. These results open a new direction at the intersection of polylogarithm functions and harmonic meromorphic functions.