Results 1 to 10 of about 72,930 (172)
A Probablistic Origin for a New Class of Bivariate Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We present here a probabilistic approach to the generation of new polynomials in two discrete variables. This extends our earlier work on the 'classical' orthogonal polynomials in a previously unexplored direction, resulting in the discovery of an ...
Michael R. Hoare, Mizan Rahman
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Eigenvalue Problem for Discrete Jacobi–Sobolev Orthogonal Polynomials [PDF]
Mathematics, 2020 In this paper, we consider a discrete Sobolev inner product involving the Jacobi weight with a twofold objective. On the one hand, since the orthonormal polynomials with respect to this inner product are eigenfunctions of a certain differential operator,
Juan F. Mañas-Mañas +2 more
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A General Method for Generating Discrete Orthogonal Matrices
IEEE Access, 2021 Discrete orthogonal matrices have applications in information coding and cryptography. It is often challenging to generate discrete orthogonal matrices.
Ka-Hou Chan, Wei Ke, Sio-Kei Im
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Laguerre–Freud Equations for the Gauss Hypergeometric Discrete Orthogonal Polynomials
Mathematics, 2023 The Cholesky factorization of the moment matrix is considered for the Gauss hypergeometric discrete orthogonal polynomials. This family of discrete orthogonal polynomials has a weight with first moment given by ρ0=2F1a,bc+1;η.
Itsaso Fernández-Irisarri +1 more
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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
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Discrete Entropies of Orthogonal Polynomials [PDF]
Constructive Approximation, 2008 26 pages, 6 ...
Aptekarev, A. I. +3 more
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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
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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
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Mathematics, 2023 This paper studies a new family of Angelesco multiple orthogonal polynomials with shared orthogonality conditions with respect to a system of weight functions, which are complex analogs of Pascal distributions on a legged star-like set.
Jorge Arvesú +1 more
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Discrete Semiclassical Orthogonal Polynomials of Class 2 [PDF]
, 2021 67 ...
Dominici, Diego +1 more
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