English

A generalized Bohr-Rogosinski phenomenon

Complex Variables 2022-02-08 v1

Abstract

In this paper, we generalize the Bohr-Rogosinski sum for the Ma-Minda classes of starlike and convex functions. Also the phenomenon is studied for the classes of starlike functions with respect to symmetric points and conjugate points along with their convex cases. Further, the connection between the derived results and the known ones are established with the suitable examples.

Keywords

Cite

@article{arxiv.2202.02560,
  title  = {A generalized Bohr-Rogosinski phenomenon},
  author = {Kamaljeet Gangania and S. Sivaprasad Kumar},
  journal= {arXiv preprint arXiv:2202.02560},
  year   = {2022}
}

Comments

Pages-22. arXiv admin note: text overlap with arXiv:2105.08684

R2 v1 2026-06-24T09:21:43.329Z