A generalization of the Bohr-Rogosinski sum

S. Kumar; S. K. Sahoo

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arXiv · 2106.06502

A generalization of the Bohr-Rogosinski sum

S. Kumar·S. K. Sahoo

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Abstract

In this paper, we investigate the Bohr-Rogosinski sum and the classical Bohr sum for analytic functions defined on the unit disk in a general setting. In addition, we discuss a generalization of the Bohr-Rogosinski sum for a class of analytic functions subordinate to the univalent functions in the unit disk. Several well-known results are observed from the consequences of our main results.

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S. Kumar, S. K. Sahoo. 2021-06-11. A generalization of the Bohr-Rogosinski sum. https://arxiv.org/abs/2106.06502

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