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arXiv · 1701.03884

Bohr inequality for odd analytic functions

Ilgiz R Kayumov·Saminathan Ponnusamy
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Abstract

We determine the Bohr radius for the class of odd functions $f$ satisfying $|f(z)|\le 1$ for all $|z|<1$, settling the recent conjecture of Ali, Barnard and Solynin \cite{AliBarSoly}. In fact, we solve this problem in a more general setting. Then we discuss Bohr's radius for the class of analytic functions $g$, when $g$ is subordinate to a member of the class of odd univalent functions.

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Ilgiz R Kayumov, Saminathan Ponnusamy. 2017-01-14. Bohr inequality for odd analytic functions. https://arxiv.org/abs/1701.03884

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