Diagonal beta-function asymptotic at zero
= Diagonal beta-function asymptotic at zero
The beta--gamma identity gives $B(z,z)=\Gamma(z)^2/\Gamma(2z)\sim2/z$ as $z\to0$ through the right half-plane.
= Diagonal beta-function asymptotic at zero
The beta--gamma identity gives $B(z,z)=\Gamma(z)^2/\Gamma(2z)\sim2/z$ as $z\to0$ through the right half-plane.