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

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    • Keywords


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

    • 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.

    • Author Affiliations


      Jayant Pande1

      1. Department of Physical and Natural Sciences School of Liberal Education FLAME University Pune 412 115, Maharashtra
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