English

Radius of Starlikeness for Bloch Functions

Complex Variables 2020-11-19 v1

Abstract

For normalised analytic functions ff defined on the open unit disc D\mathbb{D} satisfying the condition supzD(1z2)f(z)1\sup_{z\in \mathbb{D}}(1-|z^2|) |f'(z)|\leq 1, known as Bloch functions, we determine various starlikeness radii.

Keywords

Cite

@article{arxiv.2011.09234,
  title  = {Radius of Starlikeness for Bloch Functions},
  author = {Somya Malik and V. Ravichandran},
  journal= {arXiv preprint arXiv:2011.09234},
  year   = {2020}
}