Sharp exponential Redheffer-type inequalities for Bessel functions

A. Baricz, Shanhe Wu

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

By using some known results on the zeros of Bessel functions of the first kind sharp exponential Redheffer-type inequalities are established for Bessel and modified Bessel functions of the first kind. The results presented in this paper extend and improve the other known results in the literature.

Original languageEnglish
Pages (from-to)257-278
Number of pages22
JournalPublicationes Mathematicae
Volume74
Issue number3-4
Publication statusPublished - 2009

Fingerprint

Exponential Type
Bessel Functions
Bessel function of the first kind
Modified Bessel Functions
Friedrich Wilhelm Bessel
Zero

Keywords

  • Bessel functions
  • Circular functions
  • Hyperbolic functions
  • Modified bessel functions
  • Monotone form of l'hospital's rule
  • Rayleigh function
  • Redheffer-type inequalities
  • Zeros of bessel functions of the first kind

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Sharp exponential Redheffer-type inequalities for Bessel functions. / Baricz, A.; Wu, Shanhe.

In: Publicationes Mathematicae, Vol. 74, No. 3-4, 2009, p. 257-278.

Research output: Contribution to journalArticle

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