## Some Definite Integrals Over a Power Multiplied by Four Modified Bessel Functions

**Authors:** Richard J. Mathar

The definite integrals int_0^oo x^j I_0^s(x) I_1^t(x) K_0^u(x)K_1^v(x) dx
are considered for non-negative integer j and four integer exponents s+t+u+v=4, where I and K are
Modified Bessel Functions. There are essentially 15 types of the 4-fold product.
Partial integration of each of these types leads correlations between these integrals. The main result are
(forward) recurrences of the integrals with respect to the exponent j
of the power.

**Comments:** 24 Pages. Added Section 4 in version 2.

**Download:** **PDF**

### Submission history

[v1] 2016-06-14 08:42:21

[v2] 2016-06-21 11:42:55

**Unique-IP document downloads:** 62 times

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