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arXiv · 2312.05635

Bohr-Rogosinski inequalities involving Schwarz functions

Sabir Ahammed·Molla Basir Ahamed
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Abstract

In this paper, we study Bohr's inequality and refined versions of Bohr-Rogosinski inequalities involving Schwarz functions. Moreover, we establish a version of multidimensional analogue of Bohr inequality and Bohr-Rogosinski inequalities involving Schwarz functions. Finally, we establish a multidimensional analogue of the refined version of Bohr inequalities with the initial coefficient being zero. All the results are proved to be sharp.

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Sabir Ahammed, Molla Basir Ahamed. 2023-12-09. Bohr-Rogosinski inequalities involving Schwarz functions. https://arxiv.org/abs/2312.05635

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