English

On a generalization of starlike functions

Complex Variables 2018-09-11 v1

Abstract

In this paper, we mainly study the order of qq-starlikeness of the well-known basic hypergeometric function. In addition, we obtain the Bieberbach-type problem for a generalized class of starlike functions. We also discuss the Fekete-szeg\"o and the Hankel determinant problems for the same class of functions.

Keywords

Cite

@article{arxiv.1809.03339,
  title  = {On a generalization of starlike functions},
  author = {Sarita Agrawal},
  journal= {arXiv preprint arXiv:1809.03339},
  year   = {2018}
}

Comments

12 pages. arXiv admin note: text overlap with arXiv:1705.06957

R2 v1 2026-06-23T04:00:42.720Z