Results 21 to 30 of about 133,676 (303)
Laguerre–Freud equations for three families of hypergeometric discrete orthogonal polynomials [PDF]
Studies in applied mathematics (Cambridge), 2022 The Cholesky factorization of the moment matrix is considered for discrete orthogonal polynomials of hypergeometric type. We derive the Laguerre–Freud equations when the first moments of the weights are given by the 1F2, 2F2, and 3F2 generalized ...
Itsaso Fern'andez-Irisarri +1 more
semanticscholar +1 more source
Pearson equations for discrete orthogonal polynomials: I. Generalized hypergeometric functions and Toda equations [PDF]
Studies in applied mathematics (Cambridge), 2021 The Cholesky factorization of the moment matrix is applied to discrete orthogonal polynomials on the homogeneous lattice. In particular, semiclassical discrete orthogonal polynomials, which are built in terms of a discrete Pearson equation, are studied ...
Manuel Mañas +2 more
semanticscholar +1 more source
From Krall discrete orthogonal polynomials to Krall polynomials [PDF]
Journal of Mathematical Analysis and Applications, 2017 We show how to get Krall polynomials from Krall discrete polynomials using a procedure of passing to the limit in some of the parameters of the family. We also show that this procedure has to be different to the standard one used in the Askey scheme to go from the classical discrete polynomials to the classical polynomials.
Antonio J. Durán
openalex +4 more sources
Moments of discrete orthogonal polynomial ensembles
Electronic Journal of Probability, 2020 20 ...
Philip Cohen +2 more
openalex +5 more sources
Comparative asymptotics for discrete semiclassical orthogonal polynomials
Bulletin of Mathematical Sciences, 2023 We study the ratio [Formula: see text] asymptotically as [Formula: see text], where the polynomials [Formula: see text] are orthogonal with respect to a discrete linear functional and [Formula: see text] denote the falling factorial polynomials.
Diego Dominici
doaj +1 more source
Discrete Entropies of Orthogonal Polynomials [PDF]
Constructive Approximation, 2008 26 pages, 6 ...
Aptekarev, A. I. +3 more
openaire +3 more sources
Coherent Dynamics of Quantum Systems with Non-Uniform Fourier Space Excited by Laser Radiation
Zanco Journal of Pure and Applied Sciences, 2022 The algorithm is presented to solve dynamical equations for excitation of molecular models with multiple energy levels. It uses only discrete structures: discrete orthogonal polynomials constructed specially in Fourier space of the probability amplitudes,
Sary Banjak , Vadim Savva
doaj +1 more source
Recurrence coefficients for discrete orthogonal polynomials with hypergeometric weight and discrete Painlevé equations [PDF]
Journal of Physics A: Mathematical and Theoretical, 2019 Over the last decade it has become clear that discrete Painlevé equations appear in a wide range of important mathematical and physical problems. Thus, the question of recognizing a given non-autonomous recurrence as a discrete Painlevé equation and ...
A. Dzhamay, G. Filipuk, Alexander Stokes
semanticscholar +1 more source
Discrete orthogonal polynomials on equidistant nodes [PDF]
International Mathematical Forum, 2007 In this paper we give an alternative and, in our opinion, more simple proof for the orthonormal discrete polynomials on a set of equidistant nodes. Such a proof provides a unifying explicit formulation of discrete orthonormal polynomials on an equidistant grid and an explicit formula for the coefficients of the “three-term recurrence relation”. We show
Eisinberg A, FEDELE, Giuseppe
openaire +2 more sources