bessel-functions

Bessel library function in Java

I'm looking for a bessel function in Java that matches the Excel function BESSELI, description provided: Returns the modified Bessel function, which is equivalent to the Bessel function evaluated for purely imaginary arguments. Syntax *BESSELI(x,n)* X is the value at which to evaluate the function. N is the order of the Bessel ...

Plotting Bessel functions

How do you plot a Bessel function (2d) of the 1st kind in Matlab? ...

Plotting Bessel function in MATLAB

In MATLAB how do you plot f(r) = { 2*J1(a*r) / r }^2 where a = 2*pi and J1 is Bessel function of the 1st kind and r = sqrt(x^2 + y^2) This should plot in 3D, i.e. kind of be like a bubble (not sure how to do this) ...

How can I numerically solve equations containing Bessel functions in MATLAB?

I have confronted an equation containing Bessel functions of the first type on one side and modified Bessel functions of the second type on the other. I want to know its exact solutions (values of u). The equation is as follows: u*besselj(s-1,u)/besselj(s,u)=-w*besselK(s-1,w)/besselk(s,w) where s is an arbitrary integer number, for ex...

Multiplying and Dividing by Two

Why are these two snippets of code giving two different results? double sum = 1.0; double xSqFour = x * x / 4; for (int i = 48; i > 1; i-=2) { sum = 1.0 + (xSqFour / ((i/2) * (i/2))) * sum; } return sum; and double sum = 1.0; double xSqFour = x * x / 4; for (int i = 24; i > 1; i--) { ...