Bohr-Rogosinski Inequalities for bounded analytic functions
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866918255309881344 |
|---|---|
| author | Aahmed, Molla Basir Roy, Partha Pratim |
| author_facet | Aahmed, Molla Basir Roy, Partha Pratim |
| contents | In this article, we analyze refined and improved versions of the classical Bohr inequality for the function class $\mathcal{B}$, which consists of analytic self-mappings defined on the unit disk $\mathbb{D}$. We improve the Bohr-Rogosinski inequality for the class $\mathcal{B}$ of analytic self-maps by incorporating the area measure of sub-disks $\mathbb{D}_r$ in $\mathbb{D}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_04768 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bohr-Rogosinski Inequalities for bounded analytic functions Aahmed, Molla Basir Roy, Partha Pratim Complex Variables Primary 30A10, 30H05, 30C35, Secondary 30C45 In this article, we analyze refined and improved versions of the classical Bohr inequality for the function class $\mathcal{B}$, which consists of analytic self-mappings defined on the unit disk $\mathbb{D}$. We improve the Bohr-Rogosinski inequality for the class $\mathcal{B}$ of analytic self-maps by incorporating the area measure of sub-disks $\mathbb{D}_r$ in $\mathbb{D}$. |
| title | Bohr-Rogosinski Inequalities for bounded analytic functions |
| topic | Complex Variables Primary 30A10, 30H05, 30C35, Secondary 30C45 |
| url | https://arxiv.org/abs/2512.04768 |