Radius type inequalities of certain harmonic univalent mappings and their partial sums
UDC 517.546, 517.57 We study a subclass of harmonic univalent mappings defined by a differential inequality and denoted by $\mathcal{R}_{H}^{0}(\gamma,\delta,\lambda).$ This subclass was introduced in the paper [S. Çakmak, E. Yaşar, S. Yalçin, Hacet. J. Math. Stat., 51, № 1, 172–186 (2022)]. We dete...
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| Datum: | 2026 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2026
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/9551 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 517.546, 517.57
We study a subclass of harmonic univalent mappings defined by a differential inequality and denoted by $\mathcal{R}_{H}^{0}(\gamma,\delta,\lambda).$ This subclass was introduced in the paper [S. Çakmak, E. Yaşar, S. Yalçin, Hacet. J. Math. Stat., 51, № 1, 172–186 (2022)]. We determine the Bohr and Bohr–Rogosinski radii for this family. Sufficient conditions for the invariance of the partial sums of the function class $\mathcal{R}_{H}^{0}(\gamma,\delta,\lambda)$ are presented. In addition, we compute the radius of convexity for the sections of members of the family. |
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| DOI: | 10.3842/umzh.v78i7-8.9551 |