On the Convexity of the Bernardi Integral Operator
Complex Variables
2025-03-21 v1
Abstract
We prove that the Bernardi Integral Operator maps certain classes of bounded starlike functions into the class of convex functions, improving the result of Oros and Oros. We also present a general unified method for investigating various other integral operators that preserve many of the previously studied subclasses of univalent and p-valent functions.
Keywords
Cite
@article{arxiv.2503.15780,
title = {On the Convexity of the Bernardi Integral Operator},
author = {Johnny E. Brown},
journal= {arXiv preprint arXiv:2503.15780},
year = {2025}
}