Published November 11, 2010
| Version v1
Journal article
Symmetric continued fractions
- 1. Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi, Bangkok 10140 (Thailand)
- 2. Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900 (Thailand)
- 3. Department of Mathematics, Faculty of Science, Chulalongkorn University, Bangkok 10330 (Thailand)
Description
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 κ-fold symmetry, the notion of κ-duplicating symmetric continued fractions is investigated using a modification of the 1995 technique due to Clemens, Merrill and Roeder.
Additional details
Identifiers
- DOI
- 10.1063/1.3525200;
Publishing Information
- Journal Title
- AIP Conference Proceedings
- Journal Volume
- 1309
- Journal Issue
- 1
- Journal Page Range
- p. 745-750
- ISSN
- 0094-243X
- CODEN
- APCPCS
Conference
- Title
- ICMS international conference on mathematical science
- Dates
- 23-27 Nov 2010
- Place
- Bolu (Turkey)
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 42099812
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- CONTINUED FRACTIONS; FUNCTIONAL ANALYSIS; MODIFICATIONS; NUMERICAL ANALYSIS; POWER SERIES; SYMMETRY
- Descriptors DEC
- MATHEMATICS; SERIES EXPANSION
Optional Information
- Notes
- (c) 2010 American Institute of Physics