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Zbl 0595.33008
Gervois, A.; Navelet, H.
Some integrals involving three modified Bessel functions. I. (English)
[J] J. Math. Phys. 27, 682-687 (1986). ISSN 0022-2488; ISSN 1089-7658/e

Summary: The integrals $\int\sp{\infty}\sb{0}t\sp{1+\mu}I\sb{\mu}(at)K\sb{\nu}(bt)K\sb{\nu}(ct)dt $ and $\int\sp{\infty}\sb{0}t\sp{1- \nu}I\sb{\nu}(at)K\sb{\nu}(bt)K\sb{\nu}(ct)dt$ are calculated with the help of the factorization properties of the Appell function $F\sb 4$. Results are given for real parameters a,b,c, both when they are and are not in a triangle configuration.

MSC 2000:: *33C10 Cylinder functions, etc.

Keywords: modified Bessel functions; Appell function

Citations: Zbl 0595.33009

Cited in: Zbl 0595.33009

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