Bessel function
Noun
Meaning
English Wikipedia has an article on:Bessel functionWikipedia
Bessel function (plural Bessel functions)
(mathematics) Any of a class of functions that are solutions to a particular form of differential equation (a Bessel equation) and are typically used to describe waves in a cylindrically symmetric system.
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Examples
The Bessel function of the second kind then can be thought to naturally appear as the imaginary part of the Hankel functions.
In 1764, Euler examined the partial differential equation for the vibration of a circular drum and found one of the Bessel function solutions.
The Bessel function of the first kind is an entire function if α is an integer, otherwise it is a multivalued function with singularity at zero.
In this case, the second linearly independent solution is then found to be the Bessel function of the second kind, as discussed below.