Advanced Analysis Library Only
double Bessel2nd (double r, double x);
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.
| Input | ||
| Name | Type | Description |
| r | double-precision | The order of the function. |
| x | double-precision | The point at which the Bessel function is evaluated. |
| Name | Type | Description |
| result | double-precision | The value of the Bessel function evaluated at x. |