A note on a series of Bessel functions: Asymptotic and convergence properties

P. Marksteiner, E. Badralexe, A. J. Freeman

Research output: Contribution to journalComment/debate

Abstract

A certain series of Bessel functions–recently discussed by Lee–is an asymptoticexpansion 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 (US)
Pages (from-to)4729-4733
Number of pages5
JournalJournal of Physics A: Mathematical and General
Volume22
Issue number21
DOIs
StatePublished - Nov 7 1989

ASJC Scopus subject areas

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

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