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On Meromorphic Harmonic Functions Associated with the Polylogarithm Function

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  • Huda Ali Aldweby

    (Department of Mathematics, Faculty of Science, Alasmarya Islamic University, Zliten 218521, Libya)

Abstract

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.

Suggested Citation

  • Huda Ali Aldweby, 2026. "On Meromorphic Harmonic Functions Associated with the Polylogarithm Function," Mathematics, MDPI, vol. 14(13), pages 1-13, July.
    • Handle: RePEc:gam:jmathe:v:14:y:2026:i:13:p:2384-:d:1982966
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