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Bessel functions are solutions of "Bessel's differential equation"
x2y'' + xy' + (x2 - n2)y = 0
for non-negative integer values of n.
They come in two kinds:
Bessel functions of the first kind
Bessel functions of the second kind
They are important in many physical problems inclding those involving spherical or [cylindrical coordinatescylindrical]? coordinates, and in frequency modulation.