On some geometric properties and Hardy class of q-Bessel functions

İbrahim Aktaş

On some geometric properties and Hardy class of q-Bessel functions

Complex Variables 2019-09-09 v2

Authors: İbrahim Aktaş

Abstract

In this paper, we deal with some geometric properties including starlikeness and convexity of order $\alpha$ of Jackson's second and third $q$ -Bessel functions which are natural extensions of classical Bessel function $J_{\nu}$ . In additon, we determine some conditions on the parameters such that Jackson's second and third $q$ -Bessel functions belong to the Hardy space and to the class of bounded analytic functions.

Keywords

q-bessel functions starlikeness convexity hardy space bounded analytic functions geometric properties

Cite

@article{arxiv.1908.10126,
  title  = {On some geometric properties and Hardy class of q-Bessel functions},
  author = {İbrahim Aktaş},
  journal= {arXiv preprint arXiv:1908.10126},
  year   = {2019}
}

Comments

13 pages

Related papers

View all related →