Results 81 to 90 of about 5,022,265 (207)

Modular relations and explicit values of Ramanujan-Selberg continued fractions

International Journal of Mathematics and Mathematical Sciences, 2006
By employing a method of parameterizations for Ramanujan's theta-functions, we find several modular relations and explicit values of the Ramanujan-Selberg continued fractions.
Nayandeep Deka Baruah, Nipen Saikia
doaj   +1 more source

Some convergence regions of branched continued fractions of special form

Karpatsʹkì Matematičnì Publìkacìï, 2013
Some circular and parabolic convergence regions for branched continued fractions of special form are established.
O.E. Baran
doaj   +1 more source

Continued Fractions and Dynamics

, 2014
Several links between continued fractions and classical and less classical constructions in dynamical systems theory are presented and discussed.
S. Isola
semanticscholar   +1 more source

On the numerical stability of the branched continued fraction expansion of the ratio $H_4(a,d+1;c,d;\mathbf{z})/H_4(a,d+2;c,d+1;\mathbf{z})$

Математичні Студії
Continued fractions and their generalization, branched continued fractions, are the effective tools used to study special functions. In this aspect, an important problem of continued fractions and branched continued fractions is the study of their ...
M. V. Dmytryshyn, C. Cesarano, O. Kondur, I.-A. Lutsiv   +3 more
doaj   +1 more source

Continued fractions

, 2020
[ES]Las fracciones continuas han tenido un papel fundamental en el desarrollo de numerosas teor?as matem?ticas y actualmente siguen siendo un tema de investigaci?n muy activo. El estudio de las fracciones continuas con coeficientes en los complejos se asienta en el an?lisis de las regiones donde la fracci?n continua converge.
openaire   +1 more source

Hankel determinants and Jacobi continued fractions for $q$-Euler numbers

Comptes Rendus. Mathématique
The $q$-analogs of Bernoulli and Euler numbers were introduced by Carlitz in 1948. Similar to recent results on the Hankel determinants for the $q$-Bernoulli numbers established by Chapoton and Zeng, we perform a parallel analysis for the $q$-Euler ...
Chern, Shane, Jiu, Lin
doaj   +1 more source

Continued fractions [PDF]

, 2008
Michael J. Jacobson, Hugh C. Williams
  +5 more sources

Continued Fractions with Quadratic Numerators via the Bauer–Muir Transform

Mathematics
We study a class of continued fraction transformations where the partial numerators are quadratic polynomials and the denominators are linear or constant.
Kwang-Wu Chen, Chia-Hsin Liu
doaj   +1 more source

A Gauss-Kuzmin theorem for continued fractions associated with nonpositive integer powers of an integer m ≥ 2. [PDF]

ScientificWorldJournal, 2014
Lascu D.
europepmc   +1 more source

MATLAB GUI for computing Bessel functions using continued fractions algorithm

Revista Brasileira de Ensino de Física
Higher order Bessel functions are prevalent in physics and engineering and there exist different methods to evaluate them quickly and efficiently. Two of these methods are Miller's algorithm and the continued fractions algorithm.
E. Hernández, K. Commeford, M.J. Pérez-Quiles   +2 more
doaj   +1 more source