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Multidimensional continued fraction inversion
IEE Proceedings, Part G: Circuits, Devices and Systems, 1989 G E Antoniou +2 more
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Ramanujan's Continued Fraction
Mathematical Proceedings of the Cambridge Philosophical Society, 1935The best of the theorems on continued fractions, to be found in Ramanujan's manuscript note-book may be stated as follows:where there are eight gamma-functions in each product and the ambiguous signs are so chosen that the argument of each gamma-function contains one of the specified numbers of minus signs.
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2018
Basic theory of continued fractions: finite continued fractions (for rational numbers) and infinite continued fractions (for irrational numbers). This also includes computation of the quadratic number with a given periodic continued fraction, conjugate quadratic numbers, and approximation of reals and convergents of continued fractions.
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Basic theory of continued fractions: finite continued fractions (for rational numbers) and infinite continued fractions (for irrational numbers). This also includes computation of the quadratic number with a given periodic continued fraction, conjugate quadratic numbers, and approximation of reals and convergents of continued fractions.
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On Tasoev's continued fractions
Mathematical Proceedings of the Cambridge Philosophical Society, 2003There are a few real irrational numbers which have a regular pattern in their continued fraction expansion. The most prominent examples are real quadratic irrationalities. On the other hand, if one invents continued fractions with some regular pattern, one usually cannot tell much about the numbers which are represented. \textit{B. G.
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Algorithms on Continued Fractions
1999Some algorithms for performing arithmetical operations, on line, and fit for parallel and concurrent computation are described and investigated. The algorithms are based on the continued fractions representation of numbers and the continued fraction representation is generalized so as to allow rational quotients (instead of integer quotients).
Octavian Soldea, Azaria Paz
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Convergence of Continued Fractions
Canadian Journal of Mathematics, 1968Let {sn(z)} be a given sequence of linear fractional transformations (or simply l.f.t.'s) of the form1.1and let1.2The sequence of l.f.t.'s {Sn(z)} is called a continued fraction generating sequence (or simply a c.f.g. sequence).
Jones, W. B., Thron, W. J.
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Generalized continued fractions
Applied Mathematics and Computation, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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