QBD processes associated with Jacobi-Koornwinder bivariate polynomials and urn models

DOI10.1007/s00009-023-02486-zzbMath1526.60049arXiv2212.05041OpenAlexW4386289659MaRDI QIDQ6077107

Manuel D. De La Iglesia, Lidia Fernández

Publication date: 17 October 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.05041

zbMATH Keywords

multivariate orthogonal polynomialsurn modelsJacobi-Koornwinder polynomialsquasi-birth-and-death (QBD) processes

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

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• Some comments on quasi-birth-and-death processes and matrix measures
• Orthogonal polynomials and expansions for a family of weight functions in two variables
• Minimal cubature rules and polynomial interpolation in two variables. II.
• Random walks
• Some bivariate stochastic models arising from group representation theory
• Birth-death chains on a spider: spectral analysis and reflecting-absorbing factorization
• Quasi-birth-and-death processes and multivariate orthogonal polynomials
• A note on the invariant distribution of a quasi-birth-and-death process
• Quasi-Birth-and-Death Processes and Matrix-Valued Orthogonal Polynomials
• The Differential Equations of Birth-and-Death Processes, and the Stieltjes Moment Problem
• The Classification of Birth and Death Processes
• Matrix Valued Orthogonal Polynomials Arising from Group Representation Theory and a Family of Quasi-Birth-and-Death Processes
• Orthogonal Polynomials in Two Variables. A Further Analysis of the Polynomials Orthogonal over a Region Bounded by Two Lines and a Parabola
• Generalized Power Series Expansions for a Class of Orthogonal Polynomials in Two Variables
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• Stochastic LU factorizations, Darboux transformations and urn models
• Orthogonal Polynomials in the Spectral Analysis of Markov Processes
• Matrix Measures and Random Walks with a Block Tridiagonal Transition Matrix
• Orthogonal Polynomials of Several Variables

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