Results 11 to 20 of about 282,104 (259)

Some convergence regions of branched continued fractions of special form

Karpatsʹkì Matematičnì Publìkacìï, 2013
Some circular and parabolic convergence regions for branched continued fractions of special form are established.
O.E. Baran
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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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Matrix Continued Fractions

Journal of Approximation Theory, 1999
The matrix continued fraction of a function defined by its power series in \({1\over z}\) with matrix coefficients of dimension \(p\times q\) is presented as a generalisation of \(P\)-fraction. The authors give an algorithm to built the above fraction which corresponds to the extension of the Euler-Jacobi-Perron algorithm.
Sorokin, Vladimir N., Van Iseghem, Jeannette   +1 more
openaire   +2 more sources

On the convergence of multidimensional S-fractions with independent variables

Karpatsʹkì Matematičnì Publìkacìï, 2020
The paper investigates the convergence problem of a special class of branched continued fractions, i.e. the multidimensional S-fractions with independent variables, consisting of \[\sum_{i_1=1}^N\frac{c_{i(1)}z_{i_1}}{1}{\atop+}\sum_{i_2=1}^{i_1}\frac{c_{
O.S. Bodnar, R.I. Dmytryshyn, S.V. Sharyn   +2 more
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The scrambles of halton sequence and thier weaknesses [PDF]

Journal of Hyperstructures, 2020
So far, many scrambles have been introduced to break the correlation between Halton’s sequence points and improve itstwo-dimensional designs. In this paper, some of the most important scrambles that are available to scrambling the Halton sequence are ...
Behrouz Fathi Vajargah, Ali Mogharrabi Ostadkalayeh   +1 more
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Truncation error bounds for branched continued fraction whose partial denominators are equal to unity

Математичні Студії, 2020
The paper deals with the problem of obtaining error bounds for branched continued fraction of the form $\sum_{i_1=1}^N\frac{a_{i(1)}}{1}{\atop+}\sum_{i_2=1}^{i_1}\frac{a_{i(2)}}{1}{\atop+}\sum_{i_3=1}^{i_2}\frac{a_{i(3)}}{1}{\atop+}\ldots$.
R. I. Dmytryshyn, T. M. Antonova
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Continued fraction expansions for q-tangent and q-cotangent functions [PDF]

Discrete Mathematics & Theoretical Computer Science, 2010
For 3 different versions of q-tangent resp. q-cotangent functions, we compute the continued fraction expansion explicitly, by guessing the relative quantities and proving the recursive relation afterwards.
Helmut Prodinger
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Three- and four-term recurrence relations for Horn's hypergeometric function $H_4$

Researches in Mathematics, 2022
Three- and four-term recurrence relations for hypergeometric functions of the second order (such as hypergeometric functions of Appell, Horn, etc.) are the starting point for constructing branched continued fraction expansions of the ratios of these ...
R.I. Dmytryshyn, I.-A.V. Lutsiv
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Representation of Some Ratios of Horn’s Hypergeometric Functions H₇ by Continued Fractions

Axioms, 2023
The paper deals with the problem of representation of Horn’s hypergeometric functions via continued fractions and branched continued fractions. We construct the formal continued fraction expansions for three ratios of Horn’s hypergeometric functions H7 ...
Tamara Antonova, Roman Dmytryshyn, Pavlo Kril, Serhii Sharyn   +3 more
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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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