Asymptotic Expansions of Integrals with Oscillatory Kernels and Logarithmic Singularities.

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Abstract:

This paper is a follow-up to an earlier paper which derived asymptotic expansions of integral transforms of functions with logarithmic singularities. That result dealt with exponentially decaying kernels. In this paper the results are expanded to include the case of oscillatory kernels - e.g., Fourier or Hankel transforms. Author

Author(s):
Armstrong, Judith A. ; Bleistein, Norman
Author Organization(s):
DENVER RESEARCH INST COLO DIV OF MATHEMATICAL SCIENCES
Descriptive Note:
Technical rept.,
Pagination:
0019

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MS-R-7718
Contract/Grant Number(s):
N00014-76-C-0039
 Subject Terms
Communities of Interest:
Energy and Power Technologies
Descriptor(s):
*KERNEL FUNCTIONS, *INTEGRAL TRANSFORMS, FOURIER TRANSFORMATION, ASYMPTOTIC SERIES, EXPANSION, LOGARITHM FUNCTIONS, OSCILLATION, SEQUENCES(MATHEMATICS)
Field(s)/Group(s):
Numerical Mathematics
Keyword(s):
Singularities, Hankel functions, Mellin transforms, WUNR083364
Report Date:
1977 Jul 20