Bounds for Jaeger integrals

Árpád Baricz, Tibor K. Pogány, Saminathan Ponnusamy, Imre Rudas

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Lower and upper bounds are deduced for some Jaeger integrals which involve the Bessel functions of the first and second kind. The upper bounds contain some elementary functions as well as incomplete gamma functions, while the lower bounds are expressed also in terms of incomplete gamma functions and are deduced via some known inequalities for Bessel functions of the first and second kinds.

Original languageEnglish
Pages (from-to)1257-1273
Number of pages17
JournalJournal of Mathematical Chemistry
Volume53
Issue number5
DOIs
Publication statusPublished - May 1 2015

Keywords

  • Bessel functions of the first and second kind
  • Jaeger function
  • Lower incomplete Gamma function
  • Modified Bessel function of the second kind
  • Upper incomplete Gamma function

ASJC Scopus subject areas

  • Chemistry(all)
  • Applied Mathematics

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