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Repeated integrals and derivatives of K Bessel functions. (English) Zbl 0671.33006
Repeated integrals of the modified Bessel function K ν (x) on 0<x< are considered. Earlier results with ν=0 (in that case the integrals are called Bickley functions) are extended; also, repeated differentiations are considered. Expansions are given in terms of exponential integrals, together with inversion relations for such expansions.
Reviewer: N.M.Temme
33C10Bessel and Airy functions, cylinder functions, 0 F 1