A Tabulation of Selected Confluent Hypergeometric Functions.

Abstract

A tabulation of the confluent hypergeometric function (l)Fl(a;b;-p) is given for half-integral values of a(=-l/2, 1/2, 3/2,...) and integral values of b (=1, 2, ...10). The mesh is 0.25 for (0<p< 2.0) and 0.5 for (2<p<10.0), and additional values for p = 20, 30,...100 in steps of 10, have been computed. Accuracy of five significant figures is maintained in most instances. A short account of some of the more useful properties of the confluent hypergeometric function, and some of its applications in noise problems, as well as a comprehensive description of the methods of calculation, is included. (AN)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 05, 1952
Accession Number
ADA296901

Entities

People

  • David Middleton
  • Virginia Johnson

Organizations

  • Harvard University

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Bessel Functions
  • Bibliographies
  • Differential Equations
  • Electrical Engineering
  • Electronics Laboratories
  • Engineering
  • Hypergeometric Functions
  • Integrals
  • Massachusetts
  • Military Research
  • Naval Operations
  • Navy
  • New York
  • Ordnance Laboratories
  • Universities

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Library and Information Science
  • Linear Algebra