Abstract

IN [1] the proposition (Theorem 2' ) was stated that k1 common zeros of two orthogonal polynomials of degree k of a plane domain and with a positive weight function, can be taken as the nodes of a cubature formula exact for polynomials of degree 2 k — 1. Here this statement is proved in a somewhat stronger form: the common zeros of the orthogonal polynomials are not assumed to be different.

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