The sharp bound of the third Hankel determinant for inverse of convex functions

Biswajit Rath; K. Sanjay Kumar; D. Vamshee Krishna

The sharp bound of the third Hankel determinant for inverse of convex functions

Complex Variables 2023-01-06 v1

Authors: Biswajit Rath , K. Sanjay Kumar , D. Vamshee Krishna

Abstract

The objective of this paper is to find the best possible upper bound of the third Hankel determinant for the inverse of convex functions.

Keywords

hankel determinant convex functions inverse functions sharp bound geometric function theory

Cite

@article{arxiv.2301.01916,
  title  = {The sharp bound of the third Hankel determinant for inverse of convex functions},
  author = {Biswajit Rath and K. Sanjay Kumar and D. Vamshee Krishna},
  journal= {arXiv preprint arXiv:2301.01916},
  year   = {2023}
}