Results 61 to 70 of about 160,837 (188)

Convergence sets and relative stability to perturbations of a branched continued fraction with positive elements

Carpathian Mathematical Publications
In the paper, the problems of convergence and relative stability to perturbations of a branched continued fraction with positive elements and a fixed number of branching branches are investigated.
V. Hladun, D. I. Bodnar, R. Rusyn
semanticscholar   +1 more source

The Euler-Minding series for branched continued fractions

Journal of Computational and Applied Mathematics, 1987
For suitable x(k) (k\(\geq 1)\) and y(k) (k\(\geq 0)\) denote the continued fraction \(y(0)+x(1)/y(1)+...x(j)/y(j)\) by \(K\{\) x(k),y(k);j\(\}\). With twin sequences a(i,k) (k\(\geq 1)\) and b(i,k) (k\(\geq 0)\) prescribed for \(i\geq 0\), let \(C(i,j)=K\{a(i,k),b(i,k);j\}\).
openaire   +3 more sources

Approximation for the Ratios of the Confluent Hypergeometric Function ${\mathbf{\Phi }}_{\mathit{D}}^{\mathbf{\left(}\mathit{N}\mathbf{\right)}}$ by the Branched Continued Fractions

Axioms, 2022
The paper deals with the problem of expansion of the ratios of the confluent hypergeometric function of N variables ΦD(N)(a,b¯;c;z¯) into the branched continued fractions (BCF) of the general form with N branches of branching and investigates the ...
Tamara Antonova, Roman Dmytryshyn, Roman Kurka   +2 more
doaj   +1 more source

On the convergence of multidimensional regular C-fractions with independent variables

Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Matematika, 2018
In this paper, we investigate the convergence of multidimensional regular С-fractions with independent variables, which are a multidimensional generalization of regular С-fractions.
R.I. Dmytryshyn
doaj   +1 more source

On the Analytic Continuation of Lauricella–Saran Hypergeometric Function F_K(a₁,a₂,b₁,b₂;a₁,b₂,c₃;z)

Mathematics, 2023
The paper establishes an analytical extension of two ratios of Lauricella–Saran hypergeometric functions FK with some parameter values to the corresponding branched continued fractions in their domain of convergence.
Tamara Antonova, Roman Dmytryshyn, Vitaliy Goran   +2 more
doaj   +1 more source

The elemental mechanism of transcriptional pausing. [PDF]

, 2019
Transcriptional pausing underlies regulation of cellular RNA biogenesis. A consensus pause sequence that acts on RNA polymerases (RNAPs) from bacteria to mammals halts RNAP in an elemental paused state from which longer-lived pauses can arise.
Chua, Xien Yu, Landick, Robert, Mishanina, Tatiana V, Mooney, Rachel Anne, Nayak, Dhananjaya, Saba, Jason, Windgassen, Tricia A   +6 more
core   +1 more source

Lattice paths and branched continued fractions II. Multivariate Lah polynomials and Lah symmetric functions [PDF]

European journal of combinatorics (Print), 2019
We introduce the generic Lah polynomials L n , k ( ϕ ) , which enumerate unordered forests of increasing ordered trees with a weight ϕ i for each vertex with i children.
Mathias Pétréolle, A. Sokal
semanticscholar   +1 more source

On manifolds with multiple lens space filings [PDF]

, 2013
An irreducible 3--manifold with torus boundary either is a Seifert fibered space or admits at most three lens space fillings according to the Cyclic Surgery Theorem.
Baker, Kenneth L., Doleshal, Brandy Guntel, Hoffman, Neil   +2 more
core  

Forward Flux Sampling for rare event simulations

, 2009
Rare events are ubiquitous in many different fields, yet they are notoriously difficult to simulate because few, if any, events are observed in a conventiona l simulation run.
Anderson R M S Valeriani C Allen R J, Bayes A J, Bennett C H, Chantal Valeriani, Dellago C, Dellago C, Escobedo F A, Frenkel D, Juraszek J, Kahn H, Pieter Rein ten Wolde, Ptashne M, Rosalind J Allen, Sanz E, Sear R P, Villén-Altamirano M, Villén-Altamirano M Villén-Altamirano J Cohen J W Pack C D   +16 more
core   +1 more source

Branched continued fractions for double power series

Journal of Computational and Applied Mathematics, 1980
AbstractA branched continued fraction (BCF) is defined and some of their properties are shown. This branched continued fraction corresponds to the double power series. One theorem of Van Vleck is transformed for the case of double power series and BCF.
openaire   +2 more sources