Distribution of Zeros of Certain Meromorphic Continued Fractions.
Efficient Stable Ways to Calculate Continued Fraction Coefficients From some Series.
Estimation of polynomial roots by continued fractions
Evaluation of the Fermi-Dirac integral of half-integer order
Excursions of diffusion processes and continued fractions
It is well-known that the excursions of a one-dimensional diffusion process can be studied by considering a certain Riccati equation associated with the process. We show that, in many cases of interest, the Riccati equation can be solved in terms of an infinite continued fraction. We examine the probabilistic significance of the expansion. To illustrate our results, we discuss some examples of diffusions in deterministic and in random environments.
Extremely non-normal continued fractions
Hankel determinants for the Fibonacci word and Padé approximation
Nouvelles applications des fractions continues
Nový řetězec pro číslo
On a generalization of the Narayana triangle.
On Euler's differential methods for continued fractions.
On series, integrals and continued fractions, III
On the computation of Aden functions
The paper deals with the computation of Aden functions. It gives estimates of errors for the computation of Aden functions by downward reccurence.
On the Partial Fraction Expansion for 0 (x).
On the Ramanujan AGM fraction. II: The complex-parameter case.
Optimization of Rational Approximations by Continued Fractions
The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006.To get guaranteed machine enclosures of a special function f(x), an upper bound ε(f) of the relative error is needed, where ε(f) itself depends on the error bounds ε(app); ε(eval) of the approximation and evaluation error respectively. The approximation function g(x) ≈ f(x) is a rational function (Remez algorithm), and with sufficiently high polynomial degrees ε(app) becomes...
Outer compositions of hyperbolic/loxodromic linear fractional transformations.
Permutations which avoid 1243 and 2143, continued fractions, and Chebyshev polynomials.
Power Series Equivalent to Rational Functions: A Shifting-Origin Kronecker Type Theorem, and Normality of Padé Tables.
Propositions arithmétiques tirées de la théorie de la fonction exponentielle. (Extrait d'une Lettre adressée à M. Hermite)