Some Integrals Involving the Q-Function

Abstract

Some integrals are presented that can be expressed in terms of the Q- function, which is defined as Q(a, b) = the integral from b to infinity of dx x exp(- x squared + a squared/2) (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.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1972
Accession Number
AD0743066

Entities

People

  • Albert H. Nuttall

Organizations

  • Naval Underwater Systems Center

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Analytic Functions
  • Applied Mathematics
  • Bessel Functions
  • Complex Variables
  • Detection
  • Distribution Functions
  • Equations
  • Information Theory
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • New York
  • Probability
  • Special Functions (Mathematics)
  • Standards
  • Statistical Analysis

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Calculus or Mathematical Analysis