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Numerical integration of related Hankel transforms by quadrature and continued fraction expansion
Alan D. Chave
Numerical integration of related Hankel transforms by quadrature and continued fraction expansion
Geophysics (December 1983) 48 (12): 1671-1686
Numerical integration of related Hankel transforms by quadrature and continued fraction expansion
Geophysics (December 1983) 48 (12): 1671-1686
Index Terms/Descriptors
Abstract
An algorithm for the accurate evaluation of Hankel (or Bessel) transforms of algebraically related kernel functions. The algorithm performs the automatic integration of the product of the kernel and Bessel functions between the asymptotic zero crossings of the latter and sums the series of partial integrations using a continued fraction expansion, equivalent to an analytic continuation of the series.--Modified journal abstract.
ISSN: 0016-8033
EISSN: 1942-2156
Coden: GPYSA7
Serial Title: Geophysics
Serial Volume: 48
Serial Issue: 12
Title: Numerical integration of related Hankel transforms by quadrature and continued fraction expansion
Author(s): Chave, Alan D.
Affiliation: Scripps Inst. Oceanogr., Inst. Geophys. and Planet. Phys.,
La Jolla, CA,
United States
Pages: 1671-1686
Published: 198312
Text Language: English
Publisher: Society of Exploration Geophysicists,
Tulsa, OK,
United States
References: 13
DOI:
10.1190/1.1441448
Accession Number: 1984-009852
Categories: Applied geophysics
Document Type: Serial
Bibliographic Level: Analytic
Illustration Description: illus. incl. 2 tables
Country of Publication: United States
Secondary Affiliation: GeoRef, Copyright 2017, American Geosciences Institute.
Update Code: 1984
