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A proof by induction of the analytical continuations of certain generalized hypergeometric functions. - MaRDI portal

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A proof by induction of the analytical continuations of certain generalized hypergeometric functions. (Q2596405)

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scientific article
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English
A proof by induction of the analytical continuations of certain generalized hypergeometric functions.
scientific article

    Statements

    title
    A proof by induction of the analytical continuations of certain generalized hypergeometric functions. (English)
    0 references
    publication date
    1938
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    review text
    Verf. gibt einen neuen Beweis für die bereits von \textit{Thomae} (Math. Ann. 2 (1870), 427-444; F. d. M. 2, 122 (JFM 02.0122.*)) angegebene Transformationsformel hypergeometrischer Reihen höherer Ordnung, indem er von der entsprechenden Transformationsformel für die gewöhnliche (Gaußsche) hypergeometrische Reihe zweiter Ordnung ausgeht und die Tatsache benützt, daß hypergeometrische Reihen \(n\)-ter Ordnung durch solche \((n - 1)\)-ter Ordnung ausgedrückt werden können.
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    Identifiers

    zbMATH DE Number
    2515589
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