Results 1 to 10 of about 298,630 (310)
Prime numbers in typical continued fraction expansions. [PDF]
Boll Unione Mat Ital (2008), 2023 Schindler TI, Zweimüller R.
europepmc +1 more source
Continued fraction expansions of Herglotz-Nevanlinna functions and generalized indefinite strings of Stieltjes type. [PDF]
Bull Lond Math Soc, 2022 Eckhardt J.
europepmc +1 more source
On the metrical theory of a non-regular continued fraction expansion
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 We introduced a new continued fraction expansions in our previous paper. For these expansions, we show the Brodén-Borel-Lévy type formula. Furthermore, we compute the transition probability function from this and the symbolic dynamical system of the ...
Lascu Dan, Cîrlig George
doaj +1 more source
Combinatorial aspects of continued fractions [PDF]
Discrete Mathematics, 1980 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Continued Fractions of Certain Series
Integers, 2019 See the abstract in the attached pdf.
Jittinart Rattanamoong +1 more
openaire +4 more sources
Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We study a family of the Laurent biorthogonal polynomials arising from the Hermite continued fraction for a ratio of two complete elliptic integrals. Recurrence coefficients, explicit expression and the weight function for these polynomials are obtained.
Luc Vinet, Alexei Zhedanov
doaj
Algebraic and topological structures on rational tangles
Applied General Topology, 2017 In this paper we present the construction of a group Hopf algebra on the class of rational tangles. A locally finite partial order on this class is introduced and a topology is generated. An interval coalgebra structure associated with the locally finite
Vida Milani +2 more
doaj +1 more source
On the analytic extension of three ratios of Horn's confluent hypergeometric function $\mathrm{H}_7$
Researches in MathematicsIn this paper, we consider the extension of the analytic functions of two variables by special families of functions — continued fractions. In particular, we establish new symmetric domains of the analytical continuation of three ratios of Horn's ...
V. Hladun, R. Rusyn, M. Dmytryshyn
doaj +1 more source
Some new continued fraction sequence convergent to the Somos quadratic recurrence constant
Journal of Inequalities and Applications, 2016 In this paper, we provide some new continued fraction approximation and inequalities of the Somos quadratic recurrence constant, using its relation with the generalized Euler constant.
Xu You, Shouyou Huang, Di-Rong Chen
doaj +1 more source
Continued Fractions and Factoring
, 2019 Legendre found that the continued fraction expansion of $\sqrt N$ having odd period leads directly to an explicit representation of $N$ as the sum of two squares. Similarly, it is shown here that the continued fraction expansion of $\sqrt N$ having even period directly produces a factor of a composite $N$.
openaire +3 more sources