Three term relations formultivariate Uvarov orthogonal polynomials Aktas, Rabia Pérez Fernández, Teresa Encarnación Multivariate orthogonal polynomials Uvarov orthogonal polynomials Moment linear functional Modification of moment linear functionals 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. 2022-10-20T07:11:53Z 2022-10-20T07:11:53Z 2022-09-29 journal article Aktaş, R., Area, I. & Pérez, T.E. Three term relations for multivariate Uvarov orthogonal polynomials. Comp. Appl. Math. 41, 330 (2022). [https://doi.org/10.1007/s40314-022-02030-x] https://hdl.handle.net/10481/77412 10.1007/s40314-022-02030-x eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Springer