## 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:** 33 times

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*