Results 61 to 70 of about 5,022,265 (207)

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

Smarandache Continued Fractions

, 2001
The theory of general continued fractions is developed to the extent required in order to calculate Smarandache continued fractions to a given number of decimal places. Proof is given for the fact that Smarandache general continued fractions built with positive integer Smarandache sequences baving only a finite number of terms equal to 1 is convergent.
openaire   +2 more sources

Convergence theorems on non-commutative continued fractions

Journal of Numerical Analysis and Approximation Theory, 1976
Not available.
N. Negoescu
doaj   +2 more sources

Continued Fractions of Quadratic Numbers [PDF]

, 2013
In this paper, we will first summarize known results concerning continued fractions. Then we will limit our consideration to continued fractions of quadratic numbers.
Balková, Lubomíra, Hrušková, Aranka
core   +3 more sources

Smarandache Continued Fractions

, 1998
Open problems are studied using Smarandache type sequences in the composition of simple and general continued fractions.
openaire   +2 more sources

Convergence of some branched continued fractions with independent variables

, 2017
R. I. Dmytryshyn. Convergence of some branched continued fractions with independent variables, Mat. Stud. 47 (2017), 150–159. In this paper, we investigate a convergence of associated multidimensional fractions and multidimensional J -fractions with ...
R. Dmytryshyn
semanticscholar   +1 more source

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
doaj   +1 more source

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
doaj