Bessel functions

Syntax: | `y = BESJ0(x) y = BESJ1(x) y = BESY0(x) y = BESY1(x) y = BESI0(x) y = BESI1(x) y = BESK0(x) y = BESK1(x)`

The Bessel functions of the first and second kinds, Jn and Yn , are linearly independent solutions to the differential equation

Bessel functions arise in solving differential equations for systems with cylindrical symmetry.

The modified Bessel functions of the first and second kinds, In and Kn, are solutions to the differential equation

where is the Psi function (also known as the DiGamma function), and where is Euler's constant