Proof of a Bessel Function Integral: Solving Problems by Introducing Additional Parameters or Dimensions

Jayant Pande

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Bessel functions are widely encountered in research and are essential components of introductory undergraduate courses on mathematical physics. Here, I present a result for the integral of a product of a Bessel function and an exponential, using the method of introducing parameters into the problem to generate some symmetries. I then present an overview of other techniques that use this idea of increasing the parameter or dimensional space in order to make a problem easier to solve.

Original languageEnglish
Pages (from-to)1411-1428
Number of pages18
JournalResonance
Volume27
Issue number8
DOIs
StatePublished - Aug 2022
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2022, Indian Academy of Sciences.

Keywords

  • Bessel functions
  • complex integration
  • complexify to simplify
  • rotational symmetry
  • spherical and cylindrical coordinates

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