Accession Number : AD0657097

Title :   A TABULATION OF SELECTED CONFLUENT HYPERGEOMETRIC FUNCTIONS.

Descriptive Note : Technical rept.,

Corporate Author : HARVARD UNIV CAMBRIDGE MASS CRUFT LAB

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

Report Date : 05 JAN 1952

Pagination or Media Count : 62

Abstract : A tabulation of the confluent hypergeometric function 1F1(alpha;beta;-p) is given for half-integral values of alpha(=-1/2, 1/2, 3/2,...) and integral values of beta (=1,2,...10). The mesh is 0.25 for (0 < or - p < or - 2.0) and 0.50 for (2.0 < p < or - 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.

Descriptors :   (*HYPERGEOMETRIC FUNCTIONS, TABLES(DATA)), ACCURACY, NOISE, ANALYTIC FUNCTIONS, DIFFERENTIAL EQUATIONS, SERIES(MATHEMATICS), NUMERICAL ANALYSIS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE