# Bessel function

(redirected from Modified Bessel function)

## 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 ?
mu]] (z) is the modified Bessel function of the second kind ([section] 17.
As application, we are interested with the Dunkl heat kernel, and we get a new equality for the modified Bessel function.
0] (*) is the zero-th order modified Bessel function of the first kind.
An integral representation of the type 2 modified Bessel function (Gradshteyn and Ryzhik [5, Eq.
0] is the modified Bessel function of the first kind with order zero, and the free parameter vector is [theta] = [[v[sigma]].
v] represents the modified Bessel function of the first kind and an arbitrary order v [10, Eqn.
The solution of equation (1) has been presented in [1] based on modified Bessel function.
O] is a modified Bessel function of first kind and zero order and [K.
where [Sigma](r) is illustrated in Figure 3 and with a homogeneous Dirichlet boundary condition at one end and a Dirichlet condition involving a modified Bessel function of the second kind of order 0 at the other.
n](v) = modified Bessel function of the second kind
kappa]](z) indicates the modified Bessel function of the third kind which is often referred to as the K-Bessel function.

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