A continued fraction expansion for a -tangent function: an elementary proof.
Accelerating Convergence of Limit Periodic Continued Fractions K(an 1).
An interesting lemma for regular -fractions.
Bemerkungen über Kettenbrüche.
Bounded analytic functions in the unit disk and the behaviour of certain analytic continued fractions near singular line.
Compact Jacobi matrices : from Stieltjes to Krein and
Continued fractions and the fundamental equation of information.
Continued fractions for finite sums
Convergence Acceleration of Limit Periodic Continued Fractions Under Asymptotic Side Conditions.
Convergence of composition sequences of bilinear and other transformations , .
Discrete planes, -actions, Jacobi-Perron algorithm and substitutions
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.
Eine Bemerkung zu einer Arbeit von S. D. Chatterji
Explicit evaluations of the Rogers-Ramanujan continued fraction.
Improving a Method for Computing Non-Dominant Solutions of Cetain Second-Order Recurrence Relations of Poincaré-Type.
Kettenwurzeln und Kettenoperationen.
Limit points of eigenvalues of truncated unbounded tridiagonal operators
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.
Mémoire sur les développements en fractions continues de la fonction exponentielle, pouvant servir d'introduction à la théorie des fractions continues algébriques
Monotonicity properties of the relative error of a Padé approximation for Mills' ratio.