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Some explicit continued fraction expansions

Published online by Cambridge University Press:  26 February 2010

M. Mendes France and
A. J. van der Poorten
M. Mendes France
Affiliation:
Professor Michel mendés France, UER de Mathématiques et d'Informatique, Université Bordeaux 1, 351, cours de la Libération, F-33405 Talence cedex, France.
A. J. van der Poorten
Affiliation:
Professor Michel mendés France, UER de Mathématiques et d'Informatique, Université Bordeaux 1, 351, cours de la Libération, F-33405 Talence cedex, France.
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Extract

We determine infinite products in the field of Laurent series with the property that the truncations of the product yield every second continued fraction convergent of the product. We mention some related examples and specialize to obtain numerical results.

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Type
Research Article
Information
Mathematika , Volume 38 , Issue 1 , June 1991, pp. 1 - 9
Copyright
Copyright © University College London 1991

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References

B-MF. Blanchard, André et , Michel Mendes France. Symétrie et transcendance. Bull. Sc. Math., 2e série, 106 (1982), 325–335.Google Scholar
B-S. Baum, Leonard E. and Sweet., Melvin M. Continued fractions of algebraic power series in characteristic 2. Annals of Math., 103 (1976), 593–610.CrossRefGoogle Scholar
C. Cobham, Alan. On the base dependence of sets of numbers recognizable by finite automata. Math. Systems Theory, 3 (1969), 186–192.CrossRefGoogle Scholar
L-vdP. Loxton, J. H. and Poorten, A. J. van der. Arithmetic properties of finite automata: regular sequences. J. für Math., 392 (1988), 57–69.Google Scholar