Bessel function
id:
bessel-function-188-12318630
title:
Bessel function
text:
Bessel functions, first defined by the mathematician Daniel Bernoulli and then generalized by Friedrich Bessel, are canonical solutions y(x) of Bessel's differential equation x 2 d 2 y d x 2 + x d y d x + y = 0 for an arbitrary complex number α, which represents the order of the Bessel function. Although α and − α produce the same differential equation, it is conventional to define different Bessel functions for these two values in such a way that the Bessel functions are mostly smooth functions
brand slug:
wiki
category slug:
encyclopedia
description:
Families of solutions to related differential equations
original url:
https://en.wikipedia.org/wiki/Bessel_function
date created:
2001-12-01T13:34:47Z
date modified:
2024-09-09T12:33:58Z
main entity:
{"identifier":"Q219637","url":"https://www.wikidata.org/entity/Q219637"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/b/bc/Vibrating_drum_Bessel_function.gif","width":360,"height":287}
fields total:
13
integrity:
16