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 |
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Pages (from-to) | 1411-1428 |
Number of pages | 18 |
Journal | Resonance |
Volume | 27 |
Issue number | 8 |
DOIs | |
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