@misc{10481/84943,
year = {2023},
month = {8},
url = {https://hdl.handle.net/10481/84943},
abstract = {We study a family of quasi-birth-and-death (QBD) processes associated with the so-called first family of Jacobi–Koornwinder bivariate polynomials. These polynomials are orthogonal on a bounded region typically known as the swallow tail. We will explicitly compute the coefficients of the three-term recurrence relations generated by these QBD polynomials and study the conditions under we can produce families of discrete-time QBD processes. Finally, we show an urn model associated with one special case of these QBD processes.},
organization = {IMAG-María de Maeztu
	CEX2020-001105-M},
organization = {Consejo Nacional de Ciencia y Tecnología
 A1-S-16202	CONACYT},
organization = {Dirección General de Asuntos del Personal Académico, Universidad Nacional Autónoma de México
 IN106822	DGAPA, UNAM},
organization = {Fondo de Cooperación Internacional en Ciencia y Tecnología
 	FONCICYT},
organization = {European Regional Development Fund
 		ERDF},
organization = {Junta de Andalucía
 	A-FQM-246-UGR20, PGC2018-094932-B-I00},
publisher = {Springer Nature},
keywords = {Quasi-birth-and-death processes},
keywords = {Multivariate orthogonal polynomials},
keywords = {Jacobi–Koornwinder polynomials},
keywords = {Urn models},
title = {QBD Processes Associated with Jacobi–Koornwinder Bivariate Polynomials and Urn Models},
doi = {10.1007/s00009-023-02486-z},
author = {Fernández Rodríguez, Lidia and De la Iglesia, Manuel D.},
}