English

Preserving properties and pre-Schwarzian norms of nonlinear integral transforms

Complex Variables 2020-04-23 v1

Abstract

In this article, we study preserving properties of certain nonlinear integral transforms in some classical families of normalized analytic univalent functions defined in the unit disk. Also, we find sharp pre-Schwarzian norm estimates of such integrals.

Keywords

Cite

@article{arxiv.2004.10412,
  title  = {Preserving properties and pre-Schwarzian norms of nonlinear integral transforms},
  author = {Shankey Kumar and Swadesh Kumar Sahoo},
  journal= {arXiv preprint arXiv:2004.10412},
  year   = {2020}
}

Comments

12 pages, appeared in Acta Mathematica Hungarica