A combinatorial derivation with Schröder paths of a determinant representation of Laurent biorthogonal polynomials (Q1010799)
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scientific article; zbMATH DE number 5540981
| Language | Label | Description | Also known as |
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| English | A combinatorial derivation with Schröder paths of a determinant representation of Laurent biorthogonal polynomials |
scientific article; zbMATH DE number 5540981 |
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A combinatorial derivation with Schröder paths of a determinant representation of Laurent biorthogonal polynomials (English)
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7 April 2009
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Summary: A combinatorial proof in terms of Schröder paths and other weighted plane paths is given for a determinant representation of Laurent biorthogonal polynomials (LBPs) and that of coefficients of their three-term recurrence equation. In this process, it is clarified that Toeplitz determinants of the moments of LBPs and their minors can be evaluated by enumerating certain kinds of configurations of Schröder paths in a plane.
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