Results 1 to 10 of about 10,335 (247)

On convergence criteria for branched continued fraction

Karpatsʹkì Matematičnì Publìkacìï, 2020
The starting point of the present paper is a result by E.A. Boltarovych (1989) on convergence regions, dealing with branched continued fraction \[\sum_{i_1=1}^N\frac{a_{i(1)}}{1}{\atop+}\sum_{i_2=1}^N\frac{a_{i(2)}}{1}{\atop+}\ldots{\atop+}\sum_{i_n=1}^N\
T.M. Antonova
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Convergence criteria of branched continued fractions

Researches in Mathematics
The convergence criteria of branched continued fractions with N branches of branching and branched continued fractions of the special form are analyzed.
I.B. Bilanyk, D.I. Bodnar, O.G. Vozniak
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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
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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
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Multivariate reciprocal differences for branched Thiele continued fraction expansions

Journal of Computational and Applied Mathematics, 1988
For a multivariate function a Viscovatov-like algorithm for the construction of a branched continued fraction expansion was developed independently by \textit{J. A Murphy} and \textit{M. R. O'Donohoe} [ibid. 4, 181-190 (1978; Zbl 0407.40002)] and by \textit{K. J. Kuchminskaya} [Dopov. Akad. Nauk Ukr. RSR, Ser.
Annie Cuyt, Brigitte Verdonk
exaly   +4 more sources

On convergence $(2,1,\dots,1)$-periodic branched continued fraction of the special form

Karpatsʹkì Matematičnì Publìkacìï, 2015
$(2,1,\dots,1)$-periodic branched continued fraction of the special form is defined. Conditions of convergence are established for 2-periodic continued fraction and $(2,1,\dots,1)$-periodic branched continued fraction of the special form.
D.I. Bodnar, M.M. Bubniak
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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
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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
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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
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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.
exaly   +3 more sources