INTRODUCING A NOVEL SUBCLASS OF HARMONIC FUNCTIONS WITH CLOSE-TO-CONVEX PROPERTIES

Year 2025, Volume: 15 Issue: 9, 2181 - 2191, 01.09.2025

Serkan Çakmak , Sibel Yalcın

Abstract

In this paper, we introduce a new subclass of close-to-convex harmonic functions. We present a sufficient coefficient condition for a function to be a member of this class. Furthermore, we establish a distortion theorem. These results lay the groundwork for extending the findings to function classes involving higher-order derivatives.

Keywords

Close-to-convex functions , Harmonic functions , Starlike functions , Distortion

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