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. |