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

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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