Accession Number : ADA296901

Title :   A Tabulation of Selected Confluent Hypergeometric Functions.

Descriptive Note : Technical rept.,

Corporate Author : HARVARD UNIV CAMBRIDGE MA CRUFT LAB

Personal Author(s) : Middleton, David ; Johnson, Virginia

PDF Url : ADA296901

Report Date : 05 JAN 1952

Pagination or Media Count : 66

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)

Descriptors :   *HYPERGEOMETRIC FUNCTIONS, COMPUTATIONS, ACCURACY, ASYMPTOTIC SERIES, TABLES(DATA), FORMULAS(MATHEMATICS), ANALYTIC FUNCTIONS, BESSEL FUNCTIONS.

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE