How it works...

These functions work as follows:

  1. In either case, the order of the equation is the complex number alpha which acts as a parameter. Depending on the canonical solution and the order, the Bessel and Struve functions are addressed (and computed) differently.
  2. For Bessel functions, we have algorithms to produce Bessel functions of the first kind (jv) and second the kind (yn and yv), Hankel functions of the first and second kind (hankel1 and hankel2), and the modified Bessel functions of the first and second kind (iv, kn, and kv). Their syntax is similar in all cases: the first parameter is the order and the second parameter the independent variable. The n component in the definition indicates that an integer is to be used as the order (since they are optimally coded for that situation).
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