Results 21 to 30 of about 1,656,816 (274)
Continued fractions which correspond to two series expansions and the strong Hamburger moment problem [PDF]
, 2012 Just as the denominator polynomials of a J-fraction are orthogonal polynomials with respect to some moment functional, the denominator polynomials of an M-fraction are shown to satisfy a skew orthogonality relation with respect to a stronger moment ...
Sri Ranga, A.
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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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Karpatsʹkì Matematičnì Publìkacìï, 2021 The paper deals with the problem of convergence of the branched continued fractions with two branches of branching which are used to approximate the ratios of Horn's hypergeometric function $H_3(a,b;c;{\bf z})$. The case of real parameters $c\geq a\geq 0,
T.M. Antonova
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Karpatsʹkì Matematičnì Publìkacìï, 2019 The quotient of two linearly independent solutions of a four-term linear recurrence relation is represented in the form of a branched continued fraction with two branches of branching by analogous with continued fractions.
I.B. Bilanyk, D.I. Bodnar, L. Buyak
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Approximation of ratio of Lauricella functions by branched continued fraction
Matematychni Studii, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bodnar, D. I., Goyenko, N. P.
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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 +2 more
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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 +3 more
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Continued fractions with $SL(2, Z)$-branches: combinatorics and entropy
Transactions of the American Mathematical Society, 2018 We study the dynamics of a family K_alpha of discontinuous interval maps whose (infinitely many) branches are Moebius transformations in SL(2, Z), and which arise as the critical-line case of the family of (a, b)-continued fractions. We provide an explicit construction of the bifurcation locus E_KU for this family, showing it is parametrized by Farey ...
C. Carminati, ISOLA, Stefano, G. Tiozzo
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Convergence criterion for branched contіnued fractions of the special form with positive elements
Karpatsʹkì Matematičnì Publìkacìï, 2017 In this paper the problem of convergence of the important type of a multidimensional generalization of continued fractions, the branched continued fractions with independent variables, is considered.
D.I. Bodnar, I.B. Bilanyk
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On a class of Time-fractional Continuous-state Branching Processes
, 2017 We propose a class of non-Markov population models with continuous or discrete state space via a limiting procedure involving sequences of rescaled and randomly time-changed Galton--Watson processes. The class includes as specific cases the classical continuous-state branching processes and Markov branching processes.
ANDREIS, LUISA +2 more
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