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BesselI, BesselJ - The Bessel functions of the first kind
BesselK, BesselY - The Bessel functions of the second kind
HankelH1, HankelH2 - The Hankel functions (Bessel functions of the third kind)
Calling Sequence
BesselI(v, x)
BesselJ(v, x)
BesselK(v, x)
BesselY(v, x)
HankelH1(v, x)
HankelH2(v, x)
Parameters
v
-
algebraic expression (the order or index)
x
algebraic expression (the argument)
Description
BesselJ and BesselY are the Bessel functions of the first and second kinds, respectively. They satisfy Bessel's equation:
BesselI and BesselK are the modified Bessel functions of the first and second kinds, respectively. They satisfy the modified Bessel equation:
HankelH1 and HankelH2 are the Hankel functions, also known as the Bessel functions of the third kind. They also satisfy Bessel's equation, and are related to BesselJ and BesselY by
Examples
See Also
Airy, Anger, BesselZeros, convert[Bessel], inifcns, inttrans[hankel], Kelvin, Struve
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