English

Radii of starlikeness of some special functions

Classical Analysis and ODEs 2017-07-14 v1

Abstract

Geometric properties of the classical Lommel and Struve functions, both of the first kind, are studied. For each of them, there different normalizations are applied in such a way that the resulting functions are analytic in the unit disc of the complex plane. For each of the six functions we determine the radius of starlikeness precisely.

Keywords

Cite

@article{arxiv.1406.3732,
  title  = {Radii of starlikeness of some special functions},
  author = {Árpád Baricz and Dimitar K. Dimitrov and Halit Orhan and Nihat Yagmur},
  journal= {arXiv preprint arXiv:1406.3732},
  year   = {2017}
}

Comments

9 pages