The following example program calculates the value of the Bessel function for 5:
Here is the modified Bessel function of the second kind.
In the limit when we have where is the Bessel function and is finite.
To do so, the argument must be smaller than the order of the Bessel function.
Other choices are possible for the Bessel functions of the second kind, as any linearly independent solution may be used.
These are useful in developing the spherical Bessel functions (below).
There is a basis for solutions of this differential equation that are Bessel functions.
It provides a way to compute Bessel functions of large arguments.
These harmonics are quantifiably described through the use of Bessel functions.
His major scientific publications included works on electromagnetism, dynamics and Bessel functions.