English

Radii Constants for Functions with Fixed Second Coefficient

Complex Variables 2022-07-07 v1

Abstract

We introduce three classes of analytic functions with fixed second coefficient which are defined using the class P\mathcal{P} of analytic functions with positive real part. The objective is to determine radii such that the three classes are contained in various subclasses of starlike functions. The radii estimated in the present investigation are better than the radii obtained earlier. Furthermore, connections with previous known results are shown.

Keywords

Cite

@article{arxiv.2207.02673,
  title  = {Radii Constants for Functions with Fixed Second Coefficient},
  author = {Shalini Rana and Om Ahuja and Naveen Kumar Jain},
  journal= {arXiv preprint arXiv:2207.02673},
  year   = {2022}
}
R2 v1 2026-06-24T12:15:55.707Z