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kelvin functions ker and kei

• To: mathgroup at smc.vnet.net
• Subject: [mg49044] kelvin functions ker and kei
• From: mss4 at duke.edu
• Date: Tue, 29 Jun 2004 04:50:27 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

Does anyone know of a good way to way to integrate ker_2(r), kei_2(r),
ker_0(r) and kei_0(r) from r=0 to r=Infinity?  can it be done
analytically?  I'm also a little unsure about how mathematica does this
numerically.

ker_n(r) + I kei_n(r) = Exp[(-1/2)*n*Pi*I] BesselK[n, Exp[(-1/4)*Pi*I]*r]


any help would be greatly appreciated.

Sincerely
Matt Swingle
mss4 at duke.edu