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On the binomial formula. - MaRDI portal

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On the binomial formula. (Q1514211)

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scientific article; zbMATH DE number 2667993
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English
On the binomial formula.
scientific article; zbMATH DE number 2667993

    Statements

    On the binomial formula. (English)
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    1899
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    Geschichtliches nebst einem Beweise, der auf der folgenden Bemerkung beruht. Wenn \(y\) die binomiale Entwickelung bezeichnet \(1+mx+\frac12m(m-1)x^2+\cdots\), und wenn \(z=(1+x)^m\), so ist \(y'(1+x)=my\), \(z'(1+x)=mz\); folglich \(yz'-y'z=0\), \(D(z:y)=0\), \(z=Cy\), \(C=1\).
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    Binomial theorem
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