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# Y1

Bessel function of second kind with order one.
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Contents

C++
Excel

## Y1

 doubleY1( double x )
A Bessel function of the second kind with order one $\inline&space;&space;Y_1(x)$ is a solution to differential equation
$x^2&space;\frac{d^2y}{dx^2}&space;+&space;x&space;\frac{dy}{dx}&space;+&space;(x^2&space;-&space;1)y&space;=&space;0$

with $\inline&space;&space;I_1(x)$ and $\inline&space;I_{-1}(x)$ being the other solutions. 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/y1.h>
int main()
{
for(double x=1; x<7; x+=1)
{
double y=Maths::Special::Bessel::Y::Y1(x);
printf("\n Y1(%.1lf)=%lf", x,y);
}
return 0;
}
Output:
Y1(1.0)=-0.781213
Y1(2.0)=-0.107032
Y1(3.0)=0.324674
Y1(4.0)=0.397926
Y1(5.0)=0.147863
Y1(6.0)=-0.175010

### Parameters

 x input

### Authors

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

Source code is available when you agree to a GP Licence or buy a Commercial Licence.

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