Results 11 to 20 of about 147,754 (277)

Continuants algorithm for evaluation approximants of branched continued fraction

Physico-Mathematical Modelling and Informational Technologies, 2023
Oleksandra Manziy, Volodymyr Hladun, Viktor Seredynskyi   +2 more
semanticscholar   +4 more sources

A priori bounds for truncation error of branched continued fraction expansions of Horn's hypergeometric functions $H_4$ and their ratios

Researches in Mathematics
The paper considers the extension of analytic functions by a special family of functions — branched continued fractions. The truncation error bounds for branched continue fraction expansions of the Horn's hypergeometric functions $H_4$ and their ratios ...
R.I. Dmytryshyn, C. Cesarano, M. Dmytryshyn, I.-A.V. Lutsiv   +3 more
doaj   +4 more sources

A Worpitzky boundary theorem for branched continued fractions of the special form

Karpatsʹkì Matematičnì Publìkacìï, 2016
For a branched continued fraction of a special form we propose the limit value set for the Worpitzky-like theorem when the element set of the branched continued fraction is replaced by its boundary.
Kh.Yo. Kuchminska
doaj   +6 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   +5 more sources

Parabolic convergence regions of branched continued fractions of the special form

Karpatsʹkì Matematičnì Publìkacìï, 2021
Using the criterion of convergence of branched continued fractions of the special form with positive elements, effective sufficient criteria of convergence for these fractions are established.
D.I. Bodnar, I.B. Bilanyk
doaj   +4 more sources

Branched continued fraction representations of ratios of Horn's confluent function $\mathrm{H}_6$

Constructive Mathematical Analysis, 2023
In this paper, we derive some branched continued fraction representations for the ratios of the Horn's confluent function $\mathrm{H}_6.$ The method employed is a two-dimensional generalization of the classical method of constructing of Gaussian continued fraction.
Т. М. Antonova, Roman Dmytryshyn, S. V. Sharyn   +2 more
semanticscholar   +5 more sources

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   +5 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   +4 more sources

On the branched continued fraction expansions of the complete group of ratios of the generalized hypergeometric function $_4F_3$

Researches in Mathematics
The paper considers the classical problem of the rational approximation of analytic functions of complex variable, in particulary, to issues that arise when constructing branched continued fraction expansions for generalized hypergeometric functions ...
Y. Lutsiv, T. Antonova, R. Dmytryshyn, M. Dmytryshyn   +3 more
doaj   +4 more sources

Numerical stability of the branched continued fraction expansion of Horn's hypergeometric function $H_4$

Математичні Студії
In this paper, we consider some numerical aspects of branched continued fractions as special families of functions to represent and expand analytical functions of several complex variables, including generalizations of hypergeometric functions.
R. Dmytryshyn, C. Cesarano, I.-A. Lutsiv, M. Dmytryshyn   +3 more
doaj   +4 more sources