Jn
Description
This function returns the Bessel function of order n (where n is an integer):
Jn(x, n)
The formula for the equation is:
/math-0eba4bd954a43ab32403636307f32f97.png "J_n(x,n)=(x/2)^{n}\sum_{k=0}^{\infty} \frac{(-1)^{k}(x/2)^{2k}}{k!\Gamma(k+n+1)}")
See the gammaln(x) function for the definition of /math-07710b5c43702a8bb7b9104eacc6ba71.png "\Gamma")
.
Syntax
double Jn(double x, int n)
Parameters
x
- the input double at which you want to calculate the Bessel function.
n
- the order of the Bessel function.
Return
Returns the value of n order Bessel function at x.
Example
b0 = j0(5); b0 = ; //b0=-0.17759677131434 bn0 = jn(5,0); bn0 = ; //bn0=-0.17759677131434 b5 = jn(5,5); b5 = ; //b5=0.26114054612017