Zeros of some special entire functions

Article Type

Research Article

Publication Title

Proceedings of the American Mathematical Society

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, Pólya, and Runckel. The obtained results extend the known theorem of Hurwitz on the exact number of nonreal zeros of Bessel functions of the first kind. Moreover, results on zeros of derivatives of Bessel functions and the crossproduct of Bessel functions are also given, which are related to some recent open problems.

First Page

2207

Last Page

2216

DOI

10.1090/proc/13927

Publication Date

1-1-2018

Comments

All Open Access, Bronze, Green

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