Accession Number:

AD0743066

Title:

Some Integrals Involving the Q-Function

Descriptive Note:

Technical rept.

Corporate Author:

NAVAL UNDERWATER SYSTEMS CENTER NEWPORT RI

Personal Author(s):

• Nuttall, Albert H.

Report Date:

1972-04-01

Pagination or Media Count:

41.0

Abstract:

Some integrals are presented that can be expressed in terms of the Q- function, which is defined as Qa, b the integral from b to infinity of dx x exp- x squared a squared2 I sub 0 ax, and where I sub 0 is the modified Bessel function of order zero. Also, integrals of the Q-function are evaluated. Some of the integrals are generalizations of earlier results, but others are new all derivations are included. Extensions to related integrals are also presented.

Descriptors:

• *SPECIAL FUNCTIONS(MATHEMATICS)
• INTEGRALS
• NUMERICAL INTEGRATION
• BESSEL FUNCTIONS
• EXPONENTIAL FUNCTIONS

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE