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A class of bivariate orthogonal polynomials and cubature formula
Authors:Yuan Xu
Affiliation:(1) Department of Mathematics, University of Oregon, Eugene, Oregon 97403 e-mail: yuan@bright.uoregon.edu , US
Abstract:Summary. The existence of Gaussian cubature for a given measure depends on whether the corresponding multivariate orthogonal polynomials have enough common zeros. We examine a class of orthogonal polynomials of two variables generated from that of one variable. Received February 9, 1993 / Revised version received January 18, 1994
Keywords:Mathematics Subject Classification (1991): 65D30   41A05
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