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Zbl 0558.33010
Gervois, A.; Navelet, H.
Some integrals involving three Bessel functions when their arguments satisfy the triangle inequalities. (English)
[J] J. Math. Phys. 25, 3350-3356 (1984). ISSN 0022-2488; ISSN 1089-7658/e

We calculate definite integrals involving three Bessel functions of the form $\int\sp{\infty}\sb{0}xJ\sb{\mu}(ax)J\sb{\nu}(bx)J\sb{\mu +\nu}(cx)dx$ and $\int\sp{\infty}\sb{0}xY\sb{\mu}(ax)J\sb{\nu}(bx)J\sb{\mu +\nu}(cx)dx,$ which appeared in some absorption calculations. Results are given for all relative positions of lengths a, b, c. They complete formulas ouside the triangle case and correct some misprints given in tables.

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

Keywords: integrals involving three Bessel functions

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