Classical discrete orthogonal polynomials, Lah numbers, and involutory matrices (Q1431947)
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scientific article; zbMATH DE number 2073793
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classical discrete orthogonal polynomials, Lah numbers, and involutory matrices |
scientific article; zbMATH DE number 2073793 |
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Classical discrete orthogonal polynomials, Lah numbers, and involutory matrices (English)
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11 June 2004
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The Lah numbers appear in combinatorics and can be characterized as the connection coefficients between the Pochhammer symbols \((-x)_n\) and \((x)_n\). This fact is used to obtain the connection coefficients between \((-x)_n\) and certain discrete classical hypergeometric orthogonal polynomials \(P_n(x)\) with \(-x\) as a numerator parameter in the hypergeometric series representation. These coefficients lead to involutory triangular matrices.
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orthogonal polynomials
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Lah numbers
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involutory matrices
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connection problems
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