Results 31 to 40 of about 160,837 (188)

On truncation error bounds of branched continued fraction expansions of some ratios of Lauricella--Saran's hypergeometric functions $F_K$

Математичні Студії
The paper considers the problem of approximating Lauricella--Saran's hypergeometric func\-tions $F_K$ in special cases by bran\-ched continued fractions as a special family of functions.
R. Dmytryshyn, V. Goran
doaj   +2 more sources

Positive definite branched continued fractions of special form

Karpatsʹkì Matematičnì Publìkacìï, 2013
Research of the class of branched continued fractions of special form, whose denominators do not equal to zero, is proposed and the connection of such fraction with a certain quadratic form is established.
R.I. Dmytryshyn
doaj   +3 more sources

On branched continued fraction expansions of hypergeometric functions \(F_M\) and their ratios

Modern Mathematical Methods
The paper investigates the problem of constructing branched continued fraction expansions of hypergeometric functions \(F_M(a_1,a_2,b_1,b_2;a_1,c_2;\mathbf{z})\) and their ratios.
Ivan Nyzhnyk, Roman Dmytryshyn, Tamara Antonova   +2 more
doaj   +2 more sources

Block-tridiagonal linear systems and branched continued fractions [PDF]

, 1987
Mathematics
Cuyt, A., Verdonk, B.
core   +3 more sources

Numerical stability of branched continued fraction expansions of Lauricella–Saran’s hypergeometric function F K ratios

Demonstratio Mathematica
The paper considers the numerical stability of the backward recurrence algorithm for computing approximants of branched continued fraction expansions for the Lauricella–Saran’s hypergeometric function F K ratios.
Dmytryshyn Roman, Goran Vitaliy
doaj   +2 more sources

Approximation of ratio of Lauricella functions by branched continued fraction

Matematychni Studii, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. I. Bodnar, N. P. Hoyenko
semanticscholar   +3 more sources

On the convergence criterion for branched continued fractions with independent variables

Karpatsʹkì Matematičnì Publìkacìï, 2018
In this paper, we consider the problem of convergence of an important type of multidimensional generalization of continued fractions, the branched continued fractions with independent variables.
R.I. Dmytryshyn
doaj   +4 more sources

Approximation of functions of several variables by multidimensional $S$-fractions with independent variables

Karpatsʹkì Matematičnì Publìkacìï, 2021
The paper deals with the problem of approximation of functions of several variables by branched continued fractions. We study the correspondence between formal multiple power series and the so-called "multidimensional $S$-fraction with independent ...
R.I. Dmytryshyn, S.V. Sharyn
doaj   +1 more source

Exact dynamics of quantum systems driven by time-varying Hamiltonians: solution for the Bloch-Siegert Hamiltonian and applications to NMR [PDF]

, 2020
Comprehending the dynamical behaviour of quantum systems driven by time-varying Hamiltonians is particularly difficult. Systems with as little as two energy levels are not yet fully understood as the usual methods including diagonalisation of the ...
Bonhomme, Christian, Giscard, Pierre-Louis   +1 more
core   +2 more sources

On convergence of function F4(1,2;2,2;z1,z2) expansion into a branched continued fraction

Mathematical Modeling and Computing, 2022
In the paper, the possibility of the Appell hypergeometric function F4(1,2;2,2;z1,z2) approximation by a branched continued fraction of a special form is analysed.
V. Hladun, N. Hoyenko, O. Manziy, L. Ventyk   +3 more
semanticscholar   +1 more source