## Repeated integrals and derivatives of K Bessel functions.(English)Zbl 0671.33006

Repeated integrals of the modified Bessel function $$K_{\nu}(x)$$ on $$0<x<\infty$$ are considered. Earlier results with $$\nu =0$$ (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

### MSC:

 33C10 Bessel and Airy functions, cylinder functions, $${}_0F_1$$

BSKIN
Full Text: