Fourth-order difference equation for the associated Meixner and Charlier polynomials (Q1919960)
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scientific article; zbMATH DE number 910320
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fourth-order difference equation for the associated Meixner and Charlier polynomials |
scientific article; zbMATH DE number 910320 |
Statements
Fourth-order difference equation for the associated Meixner and Charlier polynomials (English)
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18 September 1996
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An explicit representation of the associated Meixner polynomials (with a real association parameter \(\gamma\geq 0\)) is given in terms of hypergeometric functions. This representation allows to derive the fourth-order difference equation satisfied by these polynomials. Limits give the fourth-order difference equation for the associated Charlier polynomials and the fourth-order differential equations for the associated Laguerre and Hermite polynomials.
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associated orthogonal polynomials
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difference equation
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