On a certain polynomial analogous to Lommel's polynomial. (Q5892933)
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scientific article; zbMATH DE number 2550122
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a certain polynomial analogous to Lommel's polynomial. |
scientific article; zbMATH DE number 2550122 |
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On a certain polynomial analogous to Lommel's polynomial. (English)
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1932
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Verf. zeigt, daß die von \textit{Mitra} (vgl. das vorstehende Referat) eingeführten Polynome \(R_{n,m}(x)\) einer Differentialgleichung vierter Ordnung \[ y^{(4)}+(2m+4n+8-x^2)y''-3xy'+(m+2)my=0 \] genügen. Ferner gibt er eine Entwicklung der \(R_{n,m}(x)\) nach \textit{Hermite}schen Polynomen an.
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