Introducing a Novel Subclass of Harmonic Functions with Close-to-Convex Properties
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866929702066716672 |
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| author | Çakmak, Serkan Yalçin, Sibel |
| author_facet | Çakmak, Serkan Yalçin, Sibel |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_04019 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Introducing a Novel Subclass of Harmonic Functions with Close-to-Convex Properties Çakmak, Serkan Yalçin, Sibel Complex Variables 30C45, 30C50 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. |
| title | Introducing a Novel Subclass of Harmonic Functions with Close-to-Convex Properties |
| topic | Complex Variables 30C45, 30C50 |
| url | https://arxiv.org/abs/2502.04019 |