# 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.