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Quasi-Elliptic Integrals and Periodic Continued Fractions

Authors :
Alfred J. van der Poorten
Xuan Chuong Tran
Source :
Monatshefte f�r Mathematik. 131:155-169
Publication Year :
2000
Publisher :
Springer Science and Business Media LLC, 2000.

Abstract

In this report we detail the following story. Several centuries ago, Abel noticed that the well-known elementary integral $$$$

Subjects

Subjects :
Abelian integral
symbols.namesake
Pure mathematics
Quarter period
General Mathematics
Mathematical analysis
Euler's continued fraction formula
symbols
Elliptic function
Elliptic integral
Periodic continued fraction
Generalized continued fraction
Mathematics

Details

ISSN :
14365081 and 00269255
Volume :
131
Database :
OpenAIRE
Journal :
Monatshefte f�r Mathematik
Accession number :
edsair.doi...........16051c7d952549e248daa78721a8e6e6
Full Text :
https://doi.org/10.1007/s006050070018
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