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# Y0

Bessel function of second kind with zero order.
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Contents

C++
Excel

## Y0

 doubleY0( double x )
A Bessel function of the second kind with zero order $\inline&space;&space;Y_0(x)$ is sometimes also denoted using $\inline&space;N_n(x)$ and is a solution to differential equation
$x^2&space;\frac{d^2y}{dx^2}&space;+&space;x&space;\frac{dy}{dx}&space;+&space;(x^2)y&space;=&space;0$

with $\inline&space;I_0(x)$ being the other solution. See Maths/Special/Bessel/I/I

This solution has a regular singularity at 0.

## References:

Cephes Math Library Release 2.8: June, 2000

### Example 1

#include <stdio.h>
#include <codecogs/maths/special/bessel/y/y0.h>
int main()
{
for(double x=1; x<7; x+=1)
{
double y=Maths::Special::Bessel::Y::Y0(x);
printf("\n Y0(%.1lf)=%lf", x,y);
}
return 0;
}
Output:
Y0(1.0)=0.088257
Y0(2.0)=0.510376
Y0(3.0)=0.376850
Y0(4.0)=-0.016941
Y0(5.0)=-0.308518
Y0(6.0)=-0.288195

### Parameters

 x input

### Authors

Stephen L. Moshier. Copyright 1984, 1987, 2000,
Documentation by Nick Owens
##### Source Code

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