Symmetric continued fractions
Journal Article
·
· AIP Conference Proceedings
- Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi, Bangkok 10140 (Thailand)
- Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900 (Thailand)
- Department of Mathematics, Faculty of Science, Chulalongkorn University, Bangkok 10330 (Thailand)
Explicit formulae for continued fractions with symmetric patterns in their partial quotients are constructed in the field of formal power series. Similar to the work of Cohn in 1996, which generalized the so-called folding lemma to {kappa}-fold symmetry, the notion of {kappa}-duplicating symmetric continued fractions is investigated using a modification of the 1995 technique due to Clemens, Merrill and Roeder.
- OSTI ID:
- 21506927
- Journal Information:
- AIP Conference Proceedings, Vol. 1309, Issue 1; Conference: ICMS international conference on mathematical science, Bolu (Turkey), 23-27 Nov 2010; Other Information: DOI: 10.1063/1.3525200; (c) 2010 American Institute of Physics; ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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