Week 13-14
Bessel functions:
Bessel functions, first defined by the mathematician Daneil Bernoulli and then generalized by Fridrich Bessel are canonical solutions y(x) of Bessel's differential equation.
for an arbitrary complex number α, the order of the Bessel function. Although α and −α produce the same differential equation, it is conventional to define different Bessel functions for these two values in such a way that the Bessel functions are mostly smooth functions of α.