1. Asymptotic value of the multidimensional Bohr radius
- Author
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Arora, Vibhuti, Kumar, Shankey, and Ponnusamy, Saminathan
- Subjects
Mathematics - Complex Variables ,32A05, 30A10, 30C45, 30C80, 32A17, 32A30 - Abstract
This article determines the exact asymptotic value of the Bohr radii and the arithmetic Bohr radii for the holomorphic functions defined on the unit ball of the $\ell_p^n$ space and having values in the simply connected domain of $\mathbb{C}$. Moreover, we investigate sharp Bohr radius for four distinct categories of holomorphic functions. These functions map the bounded balanced domain $G$ of a complex Banach space $X$ into the following domains: the right half-plane, the slit domain, the punctured unit disk, and the exterior of the closed unit disk.
- Published
- 2022