Accession Number:

AD0659399

Title:

ASYMPTOTIC SOLUTIONS OF ORDINARY LINEAR DIFFERENTIAL EQUATIONS.

Descriptive Note:

Final progress rept. 15 Sep 63-14 Sep 67,

Corporate Author:

NATIONAL BUREAU OF STANDARDS WASHINGTON D C

Personal Author(s):

Report Date:

1967-09-14

Pagination or Media Count:

4.0

Abstract:

The principal topics that were successfully investigated were 1 Second-order differential equations having an irregular singularity of arbitary rank. 2 Systems of any number of first-order differential equations having an irregular singularity of arbitrary rank. 3 Phase-integral methods. 4 The method of stationary phase. 5 Laplaces method. 6 The method of steepest descents. Applications of the new theories were made to confluent hypergeometric functions, wave-penetration problems, and various integral representations of special functions. Author

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE