Numerical computation of the incomplete Lipschitz-Hankel integral Je0(a,z)

Steven L. Dvorak; Edward F. Kuester

doi:10.1016/0021-9991(90)90255-Y

Numerical computation of the incomplete Lipschitz-Hankel integral Je₀(a,z)

Steven L. Dvorak, Edward F. Kuester

Research output: Contribution to journal › Article › peer-review

50 Scopus citations

Abstract

Two factorial-Neumann series expansions are derived for the incomplete Lipschitz-Hankel integral Je₀(a,z). These expansions are used together with the Neumann series expansion, given by Agrest, in an algorithm which efficiently computes Je₀(a, z) to a user defined number of significant digits. Other expansions for Je₀(a, z), which are found in the literature, are also discussed, but these expansions are found to offer no significant computational advantages when compared with the expansions used in the algorithm.

Original language	English (US)
Pages (from-to)	301-327
Number of pages	27
Journal	Journal of Computational Physics
Volume	87
Issue number	2
DOIs	https://doi.org/10.1016/0021-9991(90)90255-Y
State	Published - Apr 1990
Externally published	Yes

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

Access to Document

10.1016/0021-9991(90)90255-Y

Cite this

@article{9d0b9da71feb49528e115abf3c40b56a,

title = "Numerical computation of the incomplete Lipschitz-Hankel integral Je0(a,z)",

abstract = "Two factorial-Neumann series expansions are derived for the incomplete Lipschitz-Hankel integral Je0(a,z). These expansions are used together with the Neumann series expansion, given by Agrest, in an algorithm which efficiently computes Je0(a, z) to a user defined number of significant digits. Other expansions for Je0(a, z), which are found in the literature, are also discussed, but these expansions are found to offer no significant computational advantages when compared with the expansions used in the algorithm.",

author = "Dvorak, {Steven L.} and Kuester, {Edward F.}",

year = "1990",

month = apr,

doi = "10.1016/0021-9991(90)90255-Y",

language = "English (US)",

volume = "87",

pages = "301--327",

journal = "Journal of Computational Physics",

issn = "0021-9991",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - Numerical computation of the incomplete Lipschitz-Hankel integral Je0(a,z)

AU - Dvorak, Steven L.

AU - Kuester, Edward F.

PY - 1990/4

Y1 - 1990/4

N2 - Two factorial-Neumann series expansions are derived for the incomplete Lipschitz-Hankel integral Je0(a,z). These expansions are used together with the Neumann series expansion, given by Agrest, in an algorithm which efficiently computes Je0(a, z) to a user defined number of significant digits. Other expansions for Je0(a, z), which are found in the literature, are also discussed, but these expansions are found to offer no significant computational advantages when compared with the expansions used in the algorithm.

AB - Two factorial-Neumann series expansions are derived for the incomplete Lipschitz-Hankel integral Je0(a,z). These expansions are used together with the Neumann series expansion, given by Agrest, in an algorithm which efficiently computes Je0(a, z) to a user defined number of significant digits. Other expansions for Je0(a, z), which are found in the literature, are also discussed, but these expansions are found to offer no significant computational advantages when compared with the expansions used in the algorithm.

UR - http://www.scopus.com/inward/record.url?scp=0001621229&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001621229&partnerID=8YFLogxK

U2 - 10.1016/0021-9991(90)90255-Y

DO - 10.1016/0021-9991(90)90255-Y

M3 - Article

AN - SCOPUS:0001621229

SN - 0021-9991

VL - 87

SP - 301

EP - 327

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 2

ER -

Numerical computation of the incomplete Lipschitz-Hankel integral Je₀(a,z)

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this