Relations of Harmonic Starlike Function Subclasses with Mittag–Leffler Function

Abstract

In this study, the connection between certain subfamilies of harmonic univalent functions is established by utilizing a convolution operator involving the Mittag–Leffler function. The investigation reveals inclusion relations concerning harmonic γ-uniformly starlike mappings in the open unit disc, harmonic starlike functions and harmonic convex functions, highlighting the improvements given by the results presented here on previously published outcomes.

Keywords

• harmonic starlike function
• harmonic γ-uniformly starlike function
• harmonic convex function
• Mittag–Leffler function
• analytic function
• univalent function