[seqfan] Help with simplification of Bessel K expression

Olivier Gerard olivier.gerard at gmail.com
Thu Jun 18 13:30:29 CEST 2009

Hello seqfans,

We are searching, but cannot find in large references (such as
functions.wolfram.com) a formula for simplifying sums of the following kind

BesselK(0, a + i b) +/- BesselK(0, a - i b)    (for a and b reals)

It appears that these sums are real or pure imaginary and
seem to involve again BesselK(0, a) multiplied by some
oscillatory factor.

Maybe readers of this newsgroup can help in this matter.

With our best regards,

Karol PENSON, Olivier GERARD

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