Document JFM 19.0084.01

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Sur l’abaissement des équations réciproques. (French) JFM 19.0084.01

Nouv. Ann. (3) VI. 251-256 (1887).

Die allgemeinste Form der Substitution, durch welche in einer reciproken Gleichung nur die Quadrate der neuen Variabeln erscheinen, ist \[ y=\frac{1-x}{1+x} \;\frac{\varphi_{2n}(x)}{\psi_{2n}(x)}, \] wobei \(\varphi_{2n},\psi_{2n}\) reciproke Functionen des Grades \(2n\) sind.

Reviewer: Netto, Prof. (Giessen)

JFM Section:

Zweiter Abschnitt. Algebra. Capitel 1. Gleichungen. (Allgemeine Theorie. Besondere algebraische Gleichungen.)

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