Radius and Convolution problems of analytic functions involving Semigroup Generators
Complex Variables
2022-10-25 v2
Abstract
We establish the membership criteria in terms of Hadamard product for a normalized analytic function to be in the class of infinitesimal generators. Furthermore, the embedding of various subclasses of normalized univalent functions in the class of infinitesimal generators and the radii problems for this class are studied. The results derived, generalize the already known results.
Cite
@article{arxiv.2205.10777,
title = {Radius and Convolution problems of analytic functions involving Semigroup Generators},
author = {Surya Giri and S. Sivaprasad Kumar},
journal= {arXiv preprint arXiv:2205.10777},
year = {2022}
}