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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| Format: | Artikel |
| Sprache: | Englisch |
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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| _version_ | 1871646550565847040 |
|---|---|
| author | Meher, Akash Gochhayat, Priyabrat Meher, Akash Gochhayat, Priyabrat |
| author_facet | Meher, Akash Gochhayat, Priyabrat Meher, Akash Gochhayat, Priyabrat |
| author_institution_txt_mv | [
{
"author": "Akash Meher",
"institution": "Department of Mathematics, Sambalpur University, Sambalpur, Odisha, India"
},
{
"author": "Priyabrat Gochhayat",
"institution": "Department of Mathematics, Sambalpur University, Sambalpur, Odisha, India"
}
] |
| author_sort | Meher, Akash |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-07-24T15:24:12Z |
| description | 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. |
| doi_str_mv | 10.3842/umzh.v78i7-8.9551 |
| first_indexed | 2026-07-25T01:00:44Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-9551 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-07-25T01:00:44Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-95512026-07-24T15:24:12Z Radius type inequalities of certain harmonic univalent mappings and their partial sums Radius type inequalities of certain harmonic univalent mappings and their partial sums Meher, Akash Gochhayat, Priyabrat Meher, Akash Gochhayat, Priyabrat Bohr radius, Bohr-Rogosinski radius Improved Bohr radius Area bounds Partial sum Convexity 30C45, 30A10 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. УДК 517.546, 517.57 Нерівності типу радіусів для деяких гармонічних однолистих відображень та їхніх часткових сум Досліджено підклас гармонічних однолистих відображень, що визначений диференціальною нерівністю та позначений через $\mathcal{R}_{H}^{0}(\gamma,\delta,\lambda).$ Цей підклас було введено в [S. Çakmak, E. Yaşar, S. Yalçin, Hacet. J. Math. Stat., 51, № 1, 172–186 (2022)]. Для цієї сім'ї отримано радіуси Бора та Бора–Рогозинського. Наведено достатні умови інваріантності часткових сум для функцій з класу $\mathcal{R}_{H}^{0}(\gamma,\delta,\lambda).$ Крім того, обчислено радіус опуклості перерізів функцій із цієї сім'ї. Institute of Mathematics, NAS of Ukraine 2026-07-24 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/9551 10.3842/umzh.v78i7-8.9551 Ukrains’kyi Matematychnyi Zhurnal; Vol. 78 No. 7-8 (2026); 607–608 Український математичний журнал; Том 78 № 7-8 (2026); 607–608 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/9551/10688 Copyright (c) 2026 Akash Meher, Priyabrat Gochhayat |
| spellingShingle | Meher, Akash Gochhayat, Priyabrat Meher, Akash Gochhayat, Priyabrat Radius type inequalities of certain harmonic univalent mappings and their partial sums |
| title | Radius type inequalities of certain harmonic univalent mappings and their partial sums |
| title_alt | Radius type inequalities of certain harmonic univalent mappings and their partial sums |
| title_full | Radius type inequalities of certain harmonic univalent mappings and their partial sums |
| title_fullStr | Radius type inequalities of certain harmonic univalent mappings and their partial sums |
| title_full_unstemmed | Radius type inequalities of certain harmonic univalent mappings and their partial sums |
| title_short | Radius type inequalities of certain harmonic univalent mappings and their partial sums |
| title_sort | radius type inequalities of certain harmonic univalent mappings and their partial sums |
| topic_facet | Bohr radius, Bohr-Rogosinski radius Improved Bohr radius Area bounds Partial sum Convexity 30C45 30A10 |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9551 |
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