A Simple Explanation of the Stokes Phenomenon.

reportActive / Technical Report | Accession Number: ADA193253 | Open PDF

Abstract:

The Stokes Phenomenon is known to be a pervasive feature of asymptotics, but its explanation in the literature is obscured by intricate and lengthy technicalities. This article presents a simpler approach to its understanding and treatment as a natural aspect of a well-motivated characterization of functions by approximants of different multivaluedness. Keywords Waves Special functions.

Author(s):
Meyer, Richard E.
Author Organization(s):
WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES
Descriptive Note:
Technical summary rept.,
Pagination:
0024

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
CMS-TSR-88-18
Contract/Grant Number(s):
AFOSR-87-0194, $NSF-DMS85-21687
 Subject Terms
Joint Capability Areas:
JCA_5_Command and Control; JCA_1_Force Support; JCA_6.3.3_Spectrum Management; JCA_1.2_Force Preparation; JCA_5.3_Planning; JCA_1.2.6_Concepts; JCA_6.3_Net Management; JCA_6_Net Centric; JCA_1.2.3_Educating; JCA_1.3_Human Capital Management
Modernization Areas:
Fully Networked C3
Communities of Interest:
C4I
Descriptor(s):
*SPECIAL FUNCTIONS(MATHEMATICAL), COEFFICIENTS, WAVES, ASYMPTOTIC NORMALITY, LINEAR DIFFERENTIAL EQUATIONS
Field(s)/Group(s):
Numerical Mathematics
Keyword(s):
*Stokes phenomenon
Report Date:
1987 Nov 01