Results 41 to 50 of about 130,314 (163)

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
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Some properties of branched continued fractions of special form

Karpatsʹkì Matematičnì Publìkacìï, 2015
The fact that the values of the approximates of the positive definite branched continued fraction of special form are all in a certain circle is established for the certain conditions.
R.I. Dmytryshyn
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Tilings, Quasicrystals, Discrete Planes, Generalized Substitutions, and Multidimensional Continued Fractions [PDF]

Discrete Mathematics & Theoretical Computer Science, 2001
The aim of this paper is to give an overview of recent results about tilings, discrete approximations of lines and planes, and Markov partitions for toral automorphisms.The main tool is a generalization of the notion of substitution.
Pierre Arnoux, Valerie Berthe, Hiromi Ei, Shunji Ito   +3 more
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Convergence theorems on non-commutative continued fractions

Journal of Numerical Analysis and Approximation Theory, 1976
Not available.
N. Negoescu
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Convergence of composition sequences of bilinear and other transformations {fn},fn→z

International Journal of Mathematics and Mathematical Sciences, 1997
This paper investigates convergence behavior of composition sequences f1∘f2∘…∘fn(z) and fn∘fn−1∘…∘f1(z) where the fn's are bilinear transformations and fn→z. Additional results are provided for the case when the fn's are more general functions.
John Gill
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Snake graphs and continued fractions [PDF]

, 2020
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.
Schiffler, Ralf, Çanakçı, İlke; id_orcid, Çanakçı, İlke   +2 more
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Semi-Regular Continued Fractions with Fast-Growing Partial Quotients

Fractal and Fractional
In number theory, continued fractions are essential tools because they provide distinct representations of real numbers and provide information about their characteristics. Regular continued fractions have been examined in great detail, but less research
Shirali Kadyrov, Aiken Kazin, Farukh Mashurov   +2 more
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Continued fractions [PDF]

, 2012
textThis report examines the theory of continued fractions and how their use enhances the secondary mathematics curriculum. The use of continued fractions to calculate best approximants of real numbers is justified geometrically, and famous irrational ...
Hannsz, Baron Kurt
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Some identities of G-continued fractions and generalized continued fractions

, 1994
In this paper we use the invariance property of generalized linear fractional transformations to derive some useful identities for generalized continued fractions and G-continued fractions, two types of generalizations of ordinary continued fractions ...
Levrie, Paul
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Complex continued fractions with restricted entries

Electronic Journal of Differential Equations, 1998
We study special infinite iterated function systems derived from complex continued fraction expansions with restricted entries. We focus our attention on the corresponding limit set whose Hausdorff dimension will be denoted by $h$. Our primary goal is to
Pawel Hanus, Mariusz Urbanski
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