2016•Institution of Engineering and Technology eBooksRequires access

Appendix B: Bessel Functions

Gerhard Kristensson

Abstract

In wave propagation problems, the Bessel differential equation often appears, especially in problems showing axial or spherical symmetries. This appendix collects some useful and important results for the solution of the Bessel differential equation. Moreover, the modified Bessel functions and the spherical Bessel and Hankel functions are presented.

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Key concepts: Bessel function, Cylindrical harmonics, Bessel polynomials, Struve function, Hankel transform, Bessel process, Mathematics, Mathematical analysis