Results 1 to 10 of about 15,074 (239)
On convergence of generalized continued fractions and Ramanujan's conjecture [PDF]
Comptes Rendus. Mathématique, 2004 We consider continued fractions \frac{-a_1}{1-\frac{a_2}{1-\frac{a_3}{1-...}}} \label{fr} with real coefficients $a_i$ converging to a limit $a$. S.Ramanujan had stated the theorem (see [ABJL], p.38) saying that if $a\neq\frac14$, then the fraction ...
Glutsyuk, A. A.
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Applications in Enumerative Combinatorics of In finite Weighted Automata and Graphs [PDF]
Scientific Annals of Computer Science, 2014 In this paper, we present a general methodology to solve a wide variety of classical lattice path counting problems in a uniform way. These counting problems are related to Dyck paths, Motzkin paths and some generalizations. The methodology uses weighted
R. De Castro, A. Ramírez, J.L. Ramírez
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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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Generalized continued fractions: a unified definition and a Pringsheim-type convergence criterion
Advances in Difference Equations, 2019 In the literature, many generalizations of continued fractions have been introduced, and for each of them, convergence results have been proved. In this paper, we suggest a definition of generalized continued fractions which covers a great variety of ...
Hendrik Baumann
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From asymptotics to spectral measures: determinate versus indeterminate moment problems [PDF]
, 2005 In the field of orthogonal polynomials theory, the classical Markov theorem shows that for determinate moment problems the spectral measure is under control of the polynomials asymptotics.
Valent, Galliano
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Karpatsʹkì Matematičnì Publìkacìï, 2018 The paper deals with research of convergence for one of the generalizations of continued fractions -- branched continued fractions of the special form with two branches.
T.M. Antonova +2 more
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Degasperis-Procesi peakons and the discrete cubic string [PDF]
, 2005 We use an inverse scattering approach to study multi-peakon solutions of the Degasperis-Procesi (DP) equation, an integrable PDE similar to the Camassa-Holm shallow water equation.
Lundmark, Hans, Szmigielski, Jacek
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Entropy, 2012 We consider non-equilibrium open statistical systems, subject to potentials and to external “heat baths” (hb) at thermal equilibrium at temperature T (either with ab initio dissipation or without it).
Ramon F. Alvarez-Estrada
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A New Approach to Black Hole Quasinormal Modes: A Review of the Asymptotic Iteration Method
Advances in Mathematical Physics, 2012 We discuss how to obtain black hole quasinormal modes (QNMs) using the asymptotic iteration method (AIM), initially developed to solve second-order ordinary differential equations.
H. T. Cho +4 more
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, 2006 In this paper we develop an integer-affine classification of three-dimensional multistory completely empty convex marked pyramids. We apply it to obtain the complete lists of compact two-dimensional faces of multidimensional continued fractions lying in ...
Karpenkov, Oleg
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