Bessel2nd

Advanced Analysis Library Only

double Bessel2nd (double r, double x);

Purpose

Computes the Bessel function Yr(x) of the second kind of fractional order r, also known as the Neumann function. The Bessel function of the second kind of order r is defined as follows:

where is the Bessel function of the first kind. The Bessel function of the second kind is also a solution of the following differential equation:

For any real value of order r, the function is defined for positive real values of x.

Parameters

Input
Name Type Description
r double-precision The order of the function.
x double-precision The point at which the Bessel function is evaluated.

Return Value

Name Type Description
result double-precision The value of the Bessel function evaluated at x.