Lie-theoretic generating relations of Hermite 2D polynomials (Q1414336)
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scientific article; zbMATH DE number 2006422
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lie-theoretic generating relations of Hermite 2D polynomials |
scientific article; zbMATH DE number 2006422 |
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Lie-theoretic generating relations of Hermite 2D polynomials (English)
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20 November 2003
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The paper is devoted to Hermite 2D polynomials (H2DP) \(H_{m,n}(U; x,y)\) of two variables with an arbitrary 2D matrix \(U\) as parameter, which play a great role in two-dimensional problems related to the degenerate 2D harmonic oscillator. By using a Lie-theoretic approach some generating relations involving H2DP are obtained. As a consequence certain (known or new) generating relations for the polynomials related to H2DP are derived.
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Hermite 2D polynomials
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Lie algebra
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generating relations
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