Amos, Donald E. Repeated integrals and derivatives of K Bessel functions. (English) Zbl 0671.33006 SIAM J. Math. Anal. 20, No. 2, 169-175 (1989). 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, \({}_0F_1\) Keywords:modified Bessel function; Bickley functions; exponential integrals Software:BSKIN PDF BibTeX XML Cite \textit{D. E. Amos}, SIAM J. Math. Anal. 20, No. 2, 169--175 (1989; Zbl 0671.33006) Full Text: DOI OpenURL Digital Library of Mathematical Functions: Properties ‣ §10.43(iii) Fractional Integrals ‣ §10.43 Integrals ‣ Modified Bessel Functions ‣ Chapter 10 Bessel Functions