3.5.1.3.59 Y0

Description

This function returns the zero order Bessel function of second kind and has the following form:

Y0(x)

The formula for the equation is:

$Y_0(x)=\lim_{v \rightarrow 0} Y_0(v, 0)$

where

$Y_0(v,0)=\frac{J_{0}(x,v)\cos(v\pi)-J_{0}(x,-v)}{sin(v\pi)}$

Syntax

double y0(double x)

Parameter

x

the input parameter.

Return

Returns the zero order Bessel function of second kind at x.

Example

aa = y0(5);
aa = ; //-0.30851762524903