Zeros of some special entire functions
Classical Analysis and ODEs
2021-01-19 v2
Abstract
The real and complex zeros of some special entire functions such as Wright, hyper-Bessel, and a special case of generalized hypergeometric functions are studied by using some classical results of Laguerre, Obreschkhoff, P\'olya and Runckel. The obtained results extend the known theorem of Hurwitz on exact number of nonreal zeros of Bessel functions of the first kind. Moreover, results on zeros of derivatives of Bessel functions and cross-product of Bessel functions are also given, which are related to some recent open problems.
Keywords
Cite
@article{arxiv.1702.00626,
title = {Zeros of some special entire functions},
author = {Árpád Baricz and Sanjeev Singh},
journal= {arXiv preprint arXiv:1702.00626},
year = {2021}
}
Comments
11 pages