Zeros of some special entire functions

A. Baricz, Sanjeev Singh

Research output: Contribution to journalArticle

5 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)2207-2216
Number of pages10
JournalProceedings of the American Mathematical Society
Volume146
Issue number5
DOIs
Publication statusPublished - Jan 1 2018

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Keywords

  • Bessel
  • Entire function
  • Generalized hypergeometric function
  • Hyper-bessel functions
  • Laguerre-pólya class of entire functions
  • Reciprocal gamma function
  • Wright
  • Zeros of entire functions

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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