Bessel functions are defined as solutions of a second-order differential equation, namely Bessel's differential equation. Commonly, there are two classes of solutions, called Bessel functions of the first kind and Bessel functions of the second kind. The linear combinations of these two are usually called Bessel functions of the third kind, or Hankel functions. Wolfram|Alpha has the ability to compute properties for the family of Bessel functions, as well as other Bessel-related functions, such as Airy and Struve functions.
Compute properties for different kinds of Bessel functions.