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

Saminathan Ponnusamy; Karl-Joachim Wirths

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arXiv · 2006.06441

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

Saminathan Ponnusamy·Karl-Joachim Wirths

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Abstract

Recently, there has been a number of good deal of research on the Bohr's phenomenon in various setting including a refined formulation of his classical version of the inequality. Among them, in \cite{PaulPopeSingh-02-10} the authors considered the cases in which the above functions have a multiple zero at the origin. In this article, we present a refined version of Bohr's inequality for these cases and give a partial answer to a question from \cite{PaulPopeSingh-02-10} for the revised setting.

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Saminathan Ponnusamy, Karl-Joachim Wirths. 2020-06-11. Bohr type inequalities for functions with a multiple zero at the origin. https://arxiv.org/abs/2006.06441

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