Functions and Analysis


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: 63 times is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

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.

comments powered by Disqus