Tridiagonal Operators and Zeros of Polynomials in Two Variables
Keyword(s):
The aim of this paper is to connect the zeros of polynomials in two variables with the eigenvalues of a self-adjoint operator. This is done by use of a functional-analytic method. The polynomials in two variables are assumed to satisfy a five-term recurrence relation, similar to the three-term recurrence relation that the classical orthogonal polynomials satisfy.
1992 ◽
Vol 437
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pp. 355-373
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2003 ◽
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