Some integrals involving three Bessel functions when their arguments satisfy the triangle inequalities

We calculate definite integrals involving three Bessel functions of the form ∫∞0xJμ(ax)Jν(bx) Jμ+ν(cx)dx and ∫∞0xYμ(ax)Jν(bx) Jμ+ν(cx)dx, which appeared in some absorption calculations. Results are given for all relative positions of lengths a, b, c. They complete formulas outside the triangle case and correct some misprints given in tables.