English

A generalization of the Bohr-Rogosinski sum

Complex Variables 2021-06-14 v1

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.

Keywords

Cite

@article{arxiv.2106.06502,
  title  = {A generalization of the Bohr-Rogosinski sum},
  author = {S. Kumar and S. K. Sahoo},
  journal= {arXiv preprint arXiv:2106.06502},
  year   = {2021}
}