# Whats the name of this function?

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

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

• I mean $\rho_n$ – Kare Oct 5 '13 at 9:06
• it is connected with the $\beta$-function. In fact $1/\beta$. Have a look at en.wikipedia.org/wiki/Beta_function – drhab Oct 5 '13 at 9:16

Here $\rho_{n}=B\left(\frac{1}{2},\frac{1}{2}n-1\right)^{-1}$. I do not know a special name for it.