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Generalizzazione di alcune relazioni contenute nella nota del Prof. Morera ``Sui polinomi di Legendre''. - MaRDI portal

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Generalizzazione di alcune relazioni contenute nella nota del Prof. Morera ``Sui polinomi di Legendre''. (Q1516805)

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scientific article; zbMATH DE number 2670973
Language Label Description Also known as
English
Generalizzazione di alcune relazioni contenute nella nota del Prof. Morera ``Sui polinomi di Legendre''.
scientific article; zbMATH DE number 2670973

    Statements

    Generalizzazione di alcune relazioni contenute nella nota del Prof. Morera ``Sui polinomi di Legendre''. (English)
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    1898
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    Die Methode, mittels deren Morera (vergl. F. d. M. 28, 405, 1897, JFM 28.0405.02) gewisse die Kugelfunctionen betreffende Recursionsformeln hergeleitet hatte, lässt sich anwenden, um entsprechende Formeln für die allgemeineren Functionen \(C_n^\nu(x)\) zu gewinnen, welche die Coefficienten von \(\alpha^n\) bei der Entwickelung von \((1-2\alpha x+\alpha^2)^{-\nu}\) nach steigenden Potenzen von \(\alpha\) bilden.
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