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Rothe-Hagen identity

Rothe-Hagen identity

In mathematics, the Rothe-Hagen identity is a mathematical identity valid for all complex numbers (

x, y, z

) except where the denominators vanish:

sum_{k=0}^nfrac{x}{x+kz}{x+kz choose k}frac{y}{y+(n-k)z}{y+(n-k)z choose n-k}=frac{x+y}{x+y+nz}{x+y+nz choose n}.

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Last updated on Saturday August 26, 2006 at 10:38:56 PDT (GMT -0700)
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