Bohr type inequalities for functions with a multiple zero at the origin

DOI10.1007/s40315-020-00330-zzbMath1461.30004arXiv2006.06441OpenAlexW3038540785MaRDI QIDQ2228034

Saminathan Ponnusamy, Karl-Joachim Wirths

Publication date: 16 February 2021

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.06441

zbMATH Keywords

Schwarz lemmamultiple zeroBohr's inequality

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Inequalities in the complex plane (30A10)

Related Items (14)

The Bohr-type operator on analytic functions and sections ⋮ Bohr phenomenon for certain close-to-convex analytic functions ⋮ Improved Bohr inequality for harmonic mappings ⋮ Sharp Bohr type inequality ⋮ Bohr type inequalities for the class of self-analytic maps on the unit disk ⋮ Bohr-Rogosinski-type inequalities for certain classes of functions: analytic, univalent, and convex ⋮ Refined Bohr-type inequalities with area measure for bounded analytic functions ⋮ BOHR PHENOMENON FOR THE SPECIAL FAMILY OF ANALYTIC FUNCTIONS AND HARMONIC MAPPINGS ⋮ Refined Bohr inequality for bounded analytic functions ⋮ Bohr inequalities for certain integral operators ⋮ The Bohr operator on analytic functions and sections ⋮ Bohr-type inequalities for harmonic mappings with a multiple zero at the origin ⋮ Improved Bohr's inequality for shifted disks ⋮ Bohr-type inequality via proper combination

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