The Bohr's Phenomenon involving multiple Schwarz functions
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911585450065920 |
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| author | Allu, Vasudevarao Biswas, Raju Mandal, Rajib |
| author_facet | Allu, Vasudevarao Biswas, Raju Mandal, Rajib |
| contents | The primary objective of this paper is to establish several sharp versions of Bohr inequalities for bounded analytic functions in the unit disk $\mathbb{D} := \{z\in\mathbb{C} : |z| < 1\}$ involving multiple Schwarz functions. Moreover, we obtain an improved version of the classical Rogosinski inequality for analytic functions in $\mathbb{D}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_19133 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Bohr's Phenomenon involving multiple Schwarz functions Allu, Vasudevarao Biswas, Raju Mandal, Rajib Complex Variables 30A10, 30B10, 30H05 The primary objective of this paper is to establish several sharp versions of Bohr inequalities for bounded analytic functions in the unit disk $\mathbb{D} := \{z\in\mathbb{C} : |z| < 1\}$ involving multiple Schwarz functions. Moreover, we obtain an improved version of the classical Rogosinski inequality for analytic functions in $\mathbb{D}$. |
| title | The Bohr's Phenomenon involving multiple Schwarz functions |
| topic | Complex Variables 30A10, 30B10, 30H05 |
| url | https://arxiv.org/abs/2504.19133 |