English

Certain subclasses of Analytic Functions with Fixed Second Coefficient

Complex Variables 2022-03-17 v1

Abstract

This paper aims to pursue some classes of normalized analytic functions ff with fixed second coefficient defined on open unit disk, such that (1+z)2f(z)/z{(1+z)^2f(z)}/{z} and (1+z)f(z)/z{(1+z)f(z)}/{z} are functions having positive real part. The radius of strongly starlikeness, the radius of lemniscate starlikeness, the radius of parabolic starlikeness and other starlikeness estimates are calculated for such functions. As well relevant connections of computed radii estimates with the existing one are also shown.

Keywords

Cite

@article{arxiv.2203.08704,
  title  = {Certain subclasses of Analytic Functions with Fixed Second Coefficient},
  author = {Sushil Kumar and Swati Anand and Naveen Kumar Jain},
  journal= {arXiv preprint arXiv:2203.08704},
  year   = {2022}
}
R2 v1 2026-06-24T10:15:50.816Z