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

Jayant Pande

doi:10.1007/s12045-022-1434-y

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

Jayant Pande

FLAME University

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1411-1428
Number of pages	18
Journal	Resonance
Volume	27
Issue number	8
DOIs	https://doi.org/10.1007/s12045-022-1434-y
State	Published - Aug 2022
Externally published	Yes

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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10.1007/s12045-022-1434-y

Cite this

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

Abstract

Bibliographical note

Keywords

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