Asymptotic expansion of a quadruple integral involving a Bessel function

J. P. McClure; R. Wong

doi:10.1016/0377-0427(90)90369-B

Asymptotic expansion of a quadruple integral involving a Bessel function

J. P. McClure
, R. Wong

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

6 Citations (Scopus)

Abstract

An asymptotic expansion is derived for a quadruple integral involving the Bessel function J₀[λ(xy + zw)], where each of the integration variables x, y, z and w belongs to the interval [0, 1] and the large variable λ tends to infinity. Corresponding results are also obtained for similar integrals in two and three dimensions. © 1990.

Original language	English
Pages (from-to)	199-215
Journal	Journal of Computational and Applied Mathematics
Volume	33
Issue number	2
DOIs	https://doi.org/10.1016/0377-0427(90)90369-B
Publication status	Published - 21 Dec 1990
Externally published	Yes

Research Keywords

Asymptotic expansion
Bessel function
crystallography
Hankel transform
quadruple integral

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title = "Asymptotic expansion of a quadruple integral involving a Bessel function",

abstract = "An asymptotic expansion is derived for a quadruple integral involving the Bessel function J0[λ(xy + zw)], where each of the integration variables x, y, z and w belongs to the interval [0, 1] and the large variable λ tends to infinity. Corresponding results are also obtained for similar integrals in two and three dimensions. {\textcopyright} 1990.",

keywords = "Asymptotic expansion, Bessel function, crystallography, Hankel transform, quadruple integral",

author = "McClure, \{J. P.\} and R. Wong",

year = "1990",

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doi = "10.1016/0377-0427(90)90369-B",

language = "English",

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pages = "199--215",

journal = "Journal of Computational and Applied Mathematics",

issn = "0377-0427",

publisher = "Elsevier B.V.",

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TY - JOUR

T1 - Asymptotic expansion of a quadruple integral involving a Bessel function

AU - McClure, J. P.

AU - Wong, R.

PY - 1990/12/21

Y1 - 1990/12/21

N2 - An asymptotic expansion is derived for a quadruple integral involving the Bessel function J0[λ(xy + zw)], where each of the integration variables x, y, z and w belongs to the interval [0, 1] and the large variable λ tends to infinity. Corresponding results are also obtained for similar integrals in two and three dimensions. © 1990.

AB - An asymptotic expansion is derived for a quadruple integral involving the Bessel function J0[λ(xy + zw)], where each of the integration variables x, y, z and w belongs to the interval [0, 1] and the large variable λ tends to infinity. Corresponding results are also obtained for similar integrals in two and three dimensions. © 1990.

KW - Asymptotic expansion

KW - Bessel function

KW - crystallography

KW - Hankel transform

KW - quadruple integral

UR - https://www.scopus.com/pages/publications/38249017568

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-38249017568&origin=recordpage

U2 - 10.1016/0377-0427(90)90369-B

DO - 10.1016/0377-0427(90)90369-B

M3 - RGC 21 - Publication in refereed journal

SN - 0377-0427

VL - 33

SP - 199

EP - 215

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 2

ER -

Asymptotic expansion of a quadruple integral involving a Bessel function

Abstract

Research Keywords

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