@misc{10481/77412,
year = {2022},
month = {9},
url = {https://hdl.handle.net/10481/77412},
abstract = {Three term relations for orthogonal polynomials in several variables associated to a moment
linear functional obtained by a Uvarov modification of a givenmoment functional are studied.
Existence of Uvarov orthogonal polynomials is analyzed, stating conditions to ensure it. The
matrices of the three term relations of the Uvarov orthogonal polynomials are explicitly
given in terms of the matrices of the three term relations satisfied by the original family. Two
examples are presented in order to show that the results are valid for positive definite linear
functionals and also for some quasi definite linear functionals which are not positive definite.},
organization = {Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK)	120F140},
organization = {Spanish Government	PID2020-113275GB-I00},
organization = {European Commission},
organization = {FEDER/J. Andalucia	A-FQM-246-UGR20},
organization = {MCIN/AEI	PGC2018-094932-B-I00},
organization = {European Commission	PGC2018-094932-B-I00},
organization = {IMAG-Maria de Maeztu grant	CEX2020-001105-M},
publisher = {Springer},
keywords = {Multivariate orthogonal polynomials},
keywords = {Uvarov orthogonal polynomials},
keywords = {Moment linear functional},
keywords = {Modification of moment linear functionals},
title = {Three term relations formultivariate Uvarov orthogonal polynomials},
doi = {10.1007/s40314-022-02030-x},
author = {Aktas, Rabia and Pérez Fernández, Teresa Encarnación},
}