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Mathematics of Computation
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Article . 1968
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Mathematics of Computation
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Mathematics of Computation
Article . 1968 . Peer-reviewed
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Approximations for Elliptic Integrals

Approximations for elliptic integrals
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1968Publisher:JSTORJournal:Mathematics of Computation, volume 22, page 627 (issn: 0025-5718, Copyright policy )
Authors: Luke, Y. L.;

doi: 10.2307/2004539 , 10.1090/s0025-5718-1968-0226825-3

Approximations for Elliptic Integrals

Abstract

Closed-form approximations are derived for the three kinds of incomplete elliptic integrals by using the Padé approximations for the square root. An effective analytical representation of the error is presented. Approximations for the complete integrals based on trapezoidal-type integration formulae are also developed.

Keywords

numerical analysis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
28
Top 10%
Top 10%
Top 10%
bronze