Results 51 to 60 of about 5,022,265 (207)

Snake graphs and continued fractions

European journal of combinatorics (Print), 2017
This paper is a sequel to our previous work in which we found a combinatorial realization of continued fractions as quotients of the number of perfect matchings of snake graphs.
Ilke Çanakçi, R. Schiffler
semanticscholar   +1 more source

Convergence criteria of branched continued fractions

Researches in Mathematics
The convergence criteria of branched continued fractions with N branches of branching and branched continued fractions of the special form are analyzed.
I.B. Bilanyk, D.I. Bodnar, O.G. Vozniak
doaj   +1 more source

Fractional dimension of some exceptional sets in continued fractions

Comptes Rendus. Mathématique
In this paper, we calculate the Hausdorff dimension of some exceptional sets that emerge from specific constraints imposed on the partial quotients of continued fractions.
Hussain, Mumtaz, Smith, Rebecca, Zhang, Zhenliang   +2 more
doaj   +1 more source

Positive definite branched continued fractions of special form

Karpatsʹkì Matematičnì Publìkacìï, 2013
Research of the class of branched continued fractions of special form, whose denominators do not equal to zero, is proposed and the connection of such fraction with a certain quadratic form is established.
R.I. Dmytryshyn
doaj   +1 more source

Representation of a one class function of two variables by bicontinued fractions

Researches in Mathematics, 2020
Let function $u (z, w) = f (z) h (w)$ be defined on the compact set $\mathbf{K} \subset \mathbb{C}^2$. We study the problem of representation of functions of this class by the product of two continued fractions, which is called a bicontinued fraction ...
M.M. Pahirya
doaj   +1 more source

Asymmetric circular graph with Hosoya index and negative continued fractions

Karpatsʹkì Matematičnì Publìkacìï, 2021
It has been known that the Hosoya index of caterpillar graph can be calculated as the numerator of the simple continued fraction. Recently in [MATCH Commun. Math. Comput. Chem.
T. Komatsu
doaj   +1 more source

Fast Power System Dynamic Simulation Using Continued Fractions

IEEE Access, 2018
This paper proposes a novel method for power system dynamic simulation that solves power system differential algebraic equations by a semi-analytical and semi-numerical approach using continued fractions.
Chengxi Liu, Bin Wang, Kai Sun
doaj   +1 more source

Outer compositions of hyperbolic/loxodromic linear fractional transfomations

International Journal of Mathematics and Mathematical Sciences, 1992
It is shown, using classical means, that the outer composition of hyperbolic or loxodromic linear fractional transformations {fn}, where fn→f, converges to α, the attracting fixed point of f, for all complex numbers z, with one possible exception, z0.
John Gill
doaj   +1 more source

Some properties of approximants for branched continued fractions of the special form with positive and alternating-sign partial numerators

Karpatsʹkì Matematičnì Publìkacìï, 2018
The paper deals with research of convergence for one of the generalizations of continued fractions -- branched continued fractions of the special form with two branches.
T.M. Antonova, M.V. Dmytryshyn, S.M. Vozna   +2 more
doaj   +1 more source

On the Maillet--Baker continued fractions [PDF]

, 2005
We use the Schmidt Subspace Theorem to establish the transcendence of a class of quasi-periodic continued fractions. This improves earlier works of Maillet and of A. Baker.
Adamczewski, Boris, Bugeaud, Yann
core   +2 more sources