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

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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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-09-01
DOI
https://doi.org/10.5281/zenodo.18457380
Primary Topic
Analytic and geometric function theory
Type
article
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article

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

Sibel Yalçın, Serkan Çakmak
Zenodo (CERN European Organization for Nuclear Research)
Analytic and geometric function theory
article

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

Sibel Yalçın, Serkan Çakmak
article en

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.

Zenodo (CERN European Organization for Nuclear Research)
Bursa Uludağ Üni̇versi̇tesi̇ (TR), İstanbul Gelişim Üniversitesi (TR)
Reduced inequalities
Openalex Percentile: Top 16%
Analytic and geometric function theory
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