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A Rational Approximation for the Complete Elliptic Integral of the Second Kind Based on Padé approximant.

Authors :
Ma, Xiao-Yan
He, Xing-Hua
Zhong, Gen-Hong
Source :
Bulletin of the Malaysian Mathematical Sciences Society. Jan2025, Vol. 48 Issue 1, p1-13. 13p.
Publication Year :
2025

Abstract

For r ∈ (0 , 1) , let E (r) be the complete elliptic integral of the second kind. In this paper, the authors obtain a accuracy approximation for E (r) , which improve the related inequalities satisfied by E (r) . [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*ELLIPTIC integrals
*PADE approximant

Details

Language :
English
ISSN :
01266705
Volume :
48
Issue :
1
Database :
Academic Search Index
Journal :
Bulletin of the Malaysian Mathematical Sciences Society
Publication Type :
Academic Journal
Accession number :
180655178
Full Text :
https://doi.org/10.1007/s40840-024-01787-0
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