Bessel Functions are used in engineering models to describe harmonic vibrations in cylindrical systems, such as electromagnetic waves in a cylindrical waveguide, sound vibrations in a circular membrane, or heat conduction in a cylindrical object. Analytica 4.1 exposes the following Bessel functions:

BesselJ(x,n): Bessel function of the first kind

BesselY(x,n): Bessel function of the second kind

BesselI(x,n): Modified Bessel function of the first kind

BesselJ(x,n): Modified Bessel function of the second kind

In each case, n is the order of the Bessel function and can be zero or greater. Analytica will compute these Bessel functions with non-integer when x is non-negative. A Bessel function applied to a negative value of x when n in non-integer would result in a complex number -- in Analytica, a warning results and NaN is returned.

Library

These functions are not exposed in any Library, but they are available for use in Analytica 4.1 and higher.