Introducing a Novel Subclass of Harmonic Functions with Close-to-Convex Properties

Serkan Çakmak; Sibel Yalçin

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arXiv · 2502.04019

Introducing a Novel Subclass of Harmonic Functions with Close-to-Convex Properties

Serkan Çakmak·Sibel Yalçin

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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.

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Serkan Çakmak, Sibel Yalçin. 2025-02-06. Introducing a Novel Subclass of Harmonic Functions with Close-to-Convex Properties. https://arxiv.org/abs/2502.04019

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