Accession Number : AD0723213

Title :   Converging Factors for Dawson's Integral and the Modified Bessel Function of the First Kind.

Descriptive Note : Interim rept.,

Corporate Author : NAVAL SHIP RESEARCH AND DEVELOPMENT CENTER WASHINGTON D C

Personal Author(s) : Wrench,John W. , Jr

Report Date : JAN 1971

Pagination or Media Count : 82

Abstract : The mathematical theory underlying the converging factor for Dawson's integral is developed, and original tables of this factor and its reduced derivatives (correct to 30 decimal places) are presented. Furthermore, it is shown how these data can be used to evaluate the corresponding converging factor for the modified Bessel function of the first kind. Specific examples are given of the application of these tables to the evaluation of such functions to high precision. (Author)

Descriptors :   (*INTEGRALS, ASYMPTOTIC SERIES), (*BESSEL FUNCTIONS, ASYMPTOTIC SERIES), EXPONENTIAL FUNCTIONS, POWER SERIES, NUMERICAL INTEGRATION, CONVERGENCE, TABLES(DATA)

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE