Results 251 to 260 of about 148,064 (264)

Representation of algebraic numbers by periodic branching continued fractions

Moscow University Mathematics Bulletin, 2007
The notion of a periodic branching continued fraction is a natural generalization of the notion of a periodic continued fraction. It is shown that for an arbitrary positive algebraic number one can construct a periodic branching continued fraction with natural elements convergent to this number.
openaire   +1 more source

Convergence criteria for branched continued fractions with nonnegative components

Journal of Mathematical Sciences, 1998
The paper addresses branched continued fractions with nonnegative components and a fixed or variable number of branchings. The author establishes necessary and sufficient conditions for their approximants to be well defined. The known Seidel-Stern and Stern convergence criteria for continued fractions are extended to continued fractions with positive ...
openaire   +2 more sources

Approximation of the lauricella hypergeometric functionsF D (N) by branched continued fractions

Journal of Mathematical Sciences, 1998
See the review in Zbl 0893.33008.
openaire   +2 more sources

Truncation Error Bounds for the Branched Continued Fraction $$ {\sum}_{i_{1=1}}^N\frac{a_{i(1)}}{1}+{\sum}_{i_{2=1}}^{i_1}\frac{a_{i(2)}}{1}+{\sum}_{i_{3=1}}^{i_2}\frac{a_{i(3)}}{1}+\cdots $$

Ukrainian Mathematical Journal, 2020
T. Antonova, R. Dmytryshyn
semanticscholar   +2 more sources

A Criterion of Convergence of a Branched Continued Fraction with Positive Elements

Journal of Mathematical Sciences, 2017
D. Bodnar, O. Voznyak, R. I. Mykhal’chuk   +2 more
semanticscholar   +2 more sources

On Some Domains of Convergence of Branched Continued Fraction Expansions of the Ratios of Horn Hypergeometric Functions H4

Ukrainian Mathematical Journal
R. Dmytryshyn, I.-A.V. Lutsiv, M. Dmytryshyn, C. Cesarano   +3 more
semanticscholar   +1 more source

Modelling of the field distribution of the periodically nonuniform structures by the branched continued fraction

International Conference on Ultrawideband and Ultrashort Impulse Signals, 2012
V. Hoblyk, V. Pavlysh, I. Nychai
semanticscholar   +1 more source

On the convergence of branching continued fractions with nonnegative terms

Ukrainian Mathematical Journal, 1977
Bodnar, D. I., Oleksiv, I. Ja.
openaire   +1 more source

A review of branched continued fraction theory for the construction of multivariate rational approximations

, 1988
A. Cuyt, B. Verdonk
semanticscholar   +1 more source

Scientific Conference on Continued and Branching Continued Fractions and Their Applications

Ukrainian Mathematical Journal, 1976
openaire   +1 more source