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Van Vleck’s Theorem on Continued Fractions

Van Vleck’s Theorem on Continued Fractions We examine Van Vleck’s Theorem on continued fractions using Möbius transformations and hyperbolic geometry. Möbius transformations can be defined in several dimensions, so we are able to obtain new results related to Van Vleck’s Theorem that are valid in many dimensions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Van Vleck’s Theorem on Continued Fractions

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Publisher
Springer Journals
Copyright
Copyright © 2007 by Heldermann  Verlag
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/BF03321640
Publisher site
See Article on Publisher Site

Abstract

We examine Van Vleck’s Theorem on continued fractions using Möbius transformations and hyperbolic geometry. Möbius transformations can be defined in several dimensions, so we are able to obtain new results related to Van Vleck’s Theorem that are valid in many dimensions.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Jan 19, 2007

References