English

Uniformly convex spiral functions and uniformly spirallike function associated with Pascal distribution series

Complex Variables 2020-02-14 v2

Abstract

The aim of this paper is to find the necessary and sufficient conditions and inclusion relations for Pascal distribution series to be in the classes SP_{p}({\alpha},\b{eta}) and UCV_{p}({\alpha},\b{eta}) of uniformly spirallike functions. Further, we consider properties of a special function related to Pascal distribution series. Several corollaries and consequences of the main results are also considered.

Keywords

Cite

@article{arxiv.2001.07517,
  title  = {Uniformly convex spiral functions and uniformly spirallike function associated with Pascal distribution series},
  author = {G. Murugusundaramoorthy and B. A. Frasin and Tariq Al-Hawary},
  journal= {arXiv preprint arXiv:2001.07517},
  year   = {2020}
}
R2 v1 2026-06-23T13:16:30.565Z