Some discrete multiple orthogonal polynomials
Journal of Computational and Applied Mathematics, 2003 In this paper, we extend the theory of discrete orthogonal polynomials (on a linear lattice) to polynomials satisfying orthogonality conditions with respect to r positive discrete measures. First we recall the known results of the classical orthogonal polynomials of Charlier, Meixner, Kravchuk and Hahn (T.S.
J. Arvesú +2 more
openalex +3 more sources
Discrete Semiclassical Orthogonal Polynomials of Class 2 [PDF]
Orthogonal Polynomials: Current Trends and Applications, 2019 In this contribution, discrete semiclassical orthogonal polynomials of class $s\leq2$ are studied. By considering all possible solutions of the Pearson equation, we obtain the canonical families in each class.
Diego Dominici +1 more
semanticscholar +3 more sources
New Stability Criteria for Discrete Linear Systems Based on Orthogonal Polynomials
Mathematics, 2020 A new criterion for Schur stability is derived by using basic results of the theory of orthogonal polynomials. In particular, we use the relation between orthogonal polynomials on the real line and on the unit circle known as the Szegő transformation ...
Luis E. Garza +2 more
doaj +2 more sources
The Fourier extension method and discrete orthogonal polynomials on an arc of the circle [PDF]
Advances in Mathematics, 2020 Jeffrey S. Geronimo, Karl Liechty
openalex +3 more sources
Extensions of discrete classical orthogonal polynomials beyond the orthogonality [PDF]
Journal of Computational and Applied Mathematics, 2008 It is well known that the family of Hahn polynomials $\{h_n^{ , }(x;N)\}_{n\ge 0}$ is orthogonal with respect to a certain weight function up to $N$. In this paper we present a factorization for Hahn polynomials for a degree higher than $N$ and we prove that these polynomials can be characterized by a $ $-Sobolev orthogonality.
Roberto S. Costas-Santos +1 more
openalex +5 more sources
A characterization of the classical orthogonal discrete and q-polynomials
Journal of Computational and Applied Mathematics, 2006 In this paper we present a new characterization for the classical discrete and q-classical (discrete) polynomials (in the Hahn's sense).
Manuel Alfaro, R. Álvarez-Nodarse
openalex +4 more sources
On linearly related sequences of difference derivatives of discrete orthogonal polynomials [PDF]
Journal of Computational and Applied Mathematics, 2014 R. Álvarez-Nodarse +3 more
openalex +3 more sources
On discrete orthogonal polynomials of several variables [PDF]
Advances in Applied Mathematics, 2004 15 pages, 2 ...
Yuan Xu
openalex +3 more sources
Symmetries for Casorati determinants of classical discrete orthogonal polynomials [PDF]
, 2013 Antonio J. Durán
openalex +2 more sources
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