An operational representation for the Laguerre polynomials (Q762658)
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scientific article; zbMATH DE number 3889911
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An operational representation for the Laguerre polynomials |
scientific article; zbMATH DE number 3889911 |
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An operational representation for the Laguerre polynomials (English)
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1984
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In this paper the authors establish the operational relation \((-1)^ n[D(xD)]^ ne^{-x}=D^ n(x^ ne^{-x}),\quad D=d/dx,\) which yields a new operational representation for the simple Laguerre polynomial \(L_ n(x)\). The authors also give here the corresponding representation for the Laguerre polynomial \(L_ n^{(a)}(x)\).
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Laguerre polynomial
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