A continued fraction expansion for a -tangent function: an elementary proof.
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Accelerating Convergence of Limit Periodic Continued Fractions K(an 1).
W.J. Thron, H. Waadeland (1980)
Numerische Mathematik
An interesting lemma for regular -fractions.
Chen, Kwang-Wu (2003)
Journal of Integer Sequences [electronic only]
Bemerkungen über Kettenbrüche.
Armin Leutbecher (1972)
Journal für die reine und angewandte Mathematik
Bounded analytic functions in the unit disk and the behaviour of certain analytic continued fractions near singular line.
Hans-J. Runckel (1976)
Journal für die reine und angewandte Mathematik
Compact Jacobi matrices : from Stieltjes to Krein and
Walter Van Assche (1996)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Continued fractions and the fundamental equation of information.
George T. Diderrich (1979)
Aequationes mathematicae
Continued fractions for finite sums
Ann Verdoodt (1994)
Annales mathématiques Blaise Pascal
Convergence Acceleration of Limit Periodic Continued Fractions Under Asymptotic Side Conditions.
Haakon Waadeland, Lisa Jacobsen (1988)
Numerische Mathematik
Convergence of composition sequences of bilinear and other transformations , .
Gill, John (1997)
International Journal of Mathematics and Mathematical Sciences
Discrete planes, -actions, Jacobi-Perron algorithm and substitutions
Pierre Arnoux, Valérie Berthé, Shunji Ito (2002)
Annales de l’institut Fourier
We introduce two-dimensional substitutions generating two-dimensional sequences related to discrete approximations of irrational planes. These two-dimensional substitutions are produced by the classical Jacobi-Perron continued fraction algorithm, by the way of induction of a -action by rotations on the circle. This gives a new geometric interpretation of the Jacobi-Perron algorithm, as a map operating on the parameter space of -actions by rotations.
Efficient Stable Ways to Calculate Continued Fraction Coefficients From some Series.
A.N. Stokes (1983)
Numerische Mathematik
Eine Bemerkung zu einer Arbeit von S. D. Chatterji
Fritz Schweiger (1969)
Matematický časopis
Explicit evaluations of the Rogers-Ramanujan continued fraction.
B.C. Berndt, H.H. Chan, L.-C. Zhang (1996)
Journal für die reine und angewandte Mathematik
Improving a Method for Computing Non-Dominant Solutions of Cetain Second-Order Recurrence Relations of Poincaré-Type.
Paul Levrie (1989/1990)
Numerische Mathematik
Kettenwurzeln und Kettenoperationen.
D. Laugwitz (1990)
Elemente der Mathematik
Limit points of eigenvalues of truncated unbounded tridiagonal operators
E.K. Ifantis, C.G. Kokologiannaki, E. Petropoulou (2007)
Open Mathematics
Let T be a self-adjoint tridiagonal operator in a Hilbert space H with the orthonormal basis {e n}n=1∞, σ(T) be the spectrum of T and Λ(T) be the set of all the limit points of eigenvalues of the truncated operator T N. We give sufficient conditions such that the spectrum of T is discrete and σ(T) = Λ(T) and we connect this problem with an old problem in analysis.
Matrix continued fractions related to first-order linear recurrence systems.
Levrie, P., Bultheel, A. (1996)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Mémoire sur les développements en fractions continues de la fonction exponentielle, pouvant servir d'introduction à la théorie des fractions continues algébriques
H. Padé (1899)
Annales scientifiques de l'École Normale Supérieure
Monotonicity properties of the relative error of a Padé approximation for Mills' ratio.
Pinelis, Iosif (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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