Results 51 to 60 of about 160,837 (188)
Carpathian Mathematical Publications, 2023 Truncation error bounds for branched continued fractions of the special form are established. These fractions can be obtained by fixing the values of variables in branched continued fractions with independent variables, which is an effective tool for ...
D. Bodnar, O.S. Bodnar, I. Bilanyk
semanticscholar +1 more source
Multivariate reciprocal differences for branched Thiele continued fraction expansions
Journal of Computational and Applied Mathematics, 1988 For a multivariate function a Viscovatov-like algorithm for the construction of a branched continued fraction expansion was developed independently by \textit{J. A Murphy} and \textit{M. R. O'Donohoe} [ibid. 4, 181-190 (1978; Zbl 0407.40002)] and by \textit{K. J. Kuchminskaya} [Dopov. Akad. Nauk Ukr. RSR, Ser.
Cuyt, Annie A.M., Verdonk, B.
openaire +3 more sources
Bivariate thiele-type branched continued fraction and general order Padé approximation
Applied Mathematics Letters, 1989 Zhang Guofeng
semanticscholar +2 more sources
On the convergence of multidimensional S-fractions with independent variables
Karpatsʹkì Matematičnì Publìkacìï, 2020 The paper investigates the convergence problem of a special class of branched continued fractions, i.e. the multidimensional S-fractions with independent variables, consisting of \[\sum_{i_1=1}^N\frac{c_{i(1)}z_{i_1}}{1}{\atop+}\sum_{i_2=1}^{i_1}\frac{c_{
O.S. Bodnar +2 more
doaj +1 more source
Continued fractions with $SL(2, Z)$-branches: combinatorics and entropy
Transactions of the American Mathematical Society, 2018 We study the dynamics of a family K_alpha of discontinuous interval maps whose (infinitely many) branches are Moebius transformations in SL(2, Z), and which arise as the critical-line case of the family of (a, b)-continued fractions. We provide an explicit construction of the bifurcation locus E_KU for this family, showing it is parametrized by Farey ...
C. Carminati, ISOLA, Stefano, G. Tiozzo
openaire +3 more sources
Representation of Some Ratios of Horn’s Hypergeometric Functions H7 by Continued Fractions
Axioms, 2023 The paper deals with the problem of representation of Horn’s hypergeometric functions via continued fractions and branched continued fractions. We construct the formal continued fraction expansions for three ratios of Horn’s hypergeometric functions H7 ...
Tamara Antonova +3 more
doaj +1 more source
Convergence criterion for branched contіnued fractions of the special form with positive elements
Karpatsʹkì Matematičnì Publìkacìï, 2017 In this paper the problem of convergence of the important type of a multidimensional generalization of continued fractions, the branched continued fractions with independent variables, is considered.
D.I. Bodnar, I.B. Bilanyk
doaj +1 more source
A class of knots with simple $SU(2)$ representations
, 2017 We call a knot in the 3-sphere $SU(2)$-simple if all representations of the fundamental group of its complement which map a meridian to a trace-free element in $SU(2)$ are binary dihedral. This is a generalisation of being a 2-bridge knot.
Zentner, Raphael
core +1 more source
Repeated boundary slopes for 2-bridge knots
, 2015 We investigate the question of when distinct branched surfaces in the complement of a 2-bridge knot support essential surfaces with identical boundary slopes.
Curtis, Cynthia L. +3 more
core +1 more source
Computer methods for calculating tuple solutions of polynomial matrix equations [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2020 Schemes are presented for calculating tuples of solutions of matrix polynomial equations using continued fractions. Despite the fact that the simplest matrix equations were solved in the second half of the 19th century, and the problem of multiplier ...
J. Dorożyński, M. Nedashkovskyy
doaj +1 more source