modified Bessel function

gamma

The modified Bessel function is the solution of the differential equation:

x2 y '' + x y' - (x2 + n2) y = 0

which is slightly different from the Bessel differential equation that defines the Bessel function.

There are two solutions:

h19besm2.gif (1476 bytes)h19besm1.gif (1457 bytes)h19besm0.gif (1546 bytes)