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I read this function in an exercise. It looks quit familiar to me, however I do not know its name.

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Whats the name of the $\rho_n$ function and who brought it up first?

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    $\begingroup$ I mean $\rho_n$ $\endgroup$ – Kare Oct 5 '13 at 9:06
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    $\begingroup$ it is connected with the $\beta$-function. In fact $1/\beta$. Have a look at en.wikipedia.org/wiki/Beta_function $\endgroup$ – drhab Oct 5 '13 at 9:16
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Here $\rho_{n}=B\left(\frac{1}{2},\frac{1}{2}n-1\right)^{-1}$. I do not know a special name for it.

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