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Algebraische Darstellung transzendenter Funktionen

Wolfram Koepf
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Abstract

Ich möchte in diesem Bericht algorithmische Methoden vorstellen, die im wesentlichen in diesem Jahrzehnt Einzug in die Computeralgebra gefunden haben. Die hauptsächlichen Ideen gehen auf Stanley \cite{Sta} und Zeilberger \cite{Zei1}--\cite{Zei4} zurück, vgl.\ die Beschreibung \cite{Strehl1}, und haben ihre Wurzeln teilweise bereits im letzten Jahrhundert (siehe z.\ B.\ \cite{Beke1}--\cite{Beke2}), gerieten aber auf Grund der Komplexität der auftretenden Algorithmen wieder in Vergessenheit.

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Wolfram Koepf. 1994-12-17. Algebraische Darstellung transzendenter Funktionen. https://arxiv.org/abs/math/9412226

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