Some integrals involving three modified Bessel functions. I

Abstract
The integrals ∫∞0 t1+μIμ(at)Kν (bt)Kν(ct)dt and ∫∞0t1−νIν(at)Kν (bt)Kν(ct)dt are calculated with the help of the factorization properties of the Appell function F4. Results are given for real parameters a, b, c, both when they are and are not in a triangle configuration.

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