A note on a series of Bessel functions

Asymptotic and convergence properties

P. Marksteiner, E. Badralexe, Arthur J Freeman

Research output: Contribution to journalArticle

Abstract

A certain series of Bessel functions-recently discussed by Lee (1988)-is an asymptotic expansion of an integral of a Bessel function. Here the asymptotic properties of the series are investigated in more detail, and it is shown that the series is not only asymptotic, but also convergent under suitable restrictions. For large positive real arguments finite numbers of terms of the series give good approximations to the integral, but the infinite sum is different from the integral.

Original languageEnglish
Article number033
Pages (from-to)4729-4733
Number of pages5
JournalJournal of Physics A: Mathematical and General
Volume22
Issue number21
DOIs
Publication statusPublished - 1989

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asymptotic properties
Bessel functions
Bessel Functions
Convergence Properties
Asymptotic Properties
Series
Infinite sum
constrictions
Asymptotic Expansion
expansion
Restriction
approximation
Term
Approximation

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

A note on a series of Bessel functions : Asymptotic and convergence properties. / Marksteiner, P.; Badralexe, E.; Freeman, Arthur J.

In: Journal of Physics A: Mathematical and General, Vol. 22, No. 21, 033, 1989, p. 4729-4733.

Research output: Contribution to journalArticle

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