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Bohr Phenomenon for K-quasiconformal Harmonic Mappings Involving One Parameter

2025/09/10 by Ahamed, Molla Basir, Rahman, Taimur
#30C45 #30C50 #30C62 #Complex Variables (math.CV) #FOS: Mathematics #Primary 30A10

paper · doi:10.48550/arxiv.2509.08308

Abstract

In this article, we study Bohr-type inequalities involving a parameter or convex combinations for K-quasiconformal, sense-preserving harmonic mappings in \mathbbD, where the analytic part is subordinate to a convex function. Moreover, we establish similar inequalities when the subordinating function is chosen from the class of concave univalent functions with pole p, as well as from the family of concave univalent functions with opening angle πα. The results generalize several existing results.

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