Results 151 to 160 of about 160,837 (188)

The modeling of antenna arrays by branched continual fractions

5th International Conference on Antenna Theory and Techniques, 2005., 2005
The results of generalization of mathematical models for wide class of one-dimensional modulated antenna arrays, photonic crystals, impedance and dielectric structures in the form of the branched continual fractions, which are built by recurrence formula, are represented in the article.
V.V. Hoblyk, N.N. Hoblyk
openaire   +1 more source

Pringsheim-type convergence indicators for branching continued fractions

Ukrainian Mathematical Journal, 1989
A convergence test of Pringsheim type for the branching continued fraction (*) \(^{\infty}_{k=1}\sum^{N}_{i(k)=1}\frac{a(i(k))}{b(i(k))}\) with complex number elements is derived. It is shown that if \(| b(i(k))| \geq N | a(i(k))| +1\) for all corresponding partial denominators and numerators b(i(k)) and a(i(k)) occurring in (*), then this expansion ...
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On branched continued fractions rational interpolation over pyramid-typed grids

Numerical Algorithms, 2009
Rational interpolation in three dimensions and branched continued fractions are studied and applied. For this, also error estimates (with a remainder formula) and computational algorithms are provided. In order to facilitate the computations, three-term recurrence relations are established which are also used to show a characterization theorem.
Wang, Renhong, Qian, Jiang
openaire   +1 more source

Some twin regions of convergence for branched continued fractions

Journal of Mathematical Sciences, 1998
See the review in Zbl 0891.40006.
openaire   +2 more sources

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

Computational Aspects of Approximating the Horn Hypergeometric Functions \(H_3\) by Branched Continued Fractions

Altay Conference Proceedings in Mathematics
This paper investigates the approximation of Horn hypergeometric function \(H_3\) using branched continued fractions (BCFs).Based on the formal branched continued fraction expansion for the ratio of hypergeometric functions \(H_3\), a branched continued ...
M. Dmytryshyn, Sofiia Hladun, Mykhailo Holod, V. Hladun   +3 more
semanticscholar   +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 ...
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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

Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
exaly