Bessel function

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Bessel function

[′bes·əl ‚fəŋk·shən]
(mathematics)
A solution of the Bessel equation. Also known as cylindrical function. Symbolized Jn (z).
References in periodicals archive ?
Having now fully specified the differential equation (26), it is recognized as being identical to Bessel's equation of order zero, with scalar parameter [alpha] (the units of which are (see (20)) the reciprocal of the units of r).
Euler later developed a series similar to that of Bernoulli, which was also a Bessel function, and Bessel's equation appeared in a 1764 article by Euler dealing with the vibrations of a circular drumhead.
I32, 28, 24]), and we shall only mention them briefly; the others, like a modification of the Prufer angle associated with Bessel's equation, will be considered in more detail.
1 Modified Prufer angle associated with bounded solutions of Bessel's equation
All solutions of Bessel's equation which are finite at r = 0 possess the same Prufer angle, [PSI](r), that in the neighborhood of r = 0 satisfies the condition
Laguerre and Hermite polynomials, examples of Bessel's equation in Physics.