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Note on Weighted Bohr's Inequality

2021/04/13 by Vijayakumar, Ramakrishnan
#30B10 #30C45 #30H05 #31A05 #Complex Variables (math.CV) #FOS: Mathematics #Primary: 30A10 #Secondary: 30C62

paper · doi:10.48550/arxiv.2104.05955

Abstract

In this paper, first we give a new generalization of the Bohr's inequality for the class of bounded analytic functions B' and for the class of sense-preserving K-quasiconformal harmonic mappings of the form f=h+g, where h ∈ B'. Finally we give a new generalization of the Bohr's inequality for the class of analytic functions subordinate to univalent functions and for the class of sense-preserving K-quasiconformal harmonic mappings of the form f=h+g, where h is subordinated to some analytic function.

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