\[\mathrm{f}\left(z\right)=\frac{(2\pi)^{-3/2}}{2\pi i}\int_{c-i\infty}^{c+i%
\infty}\zeta^{-s}\Gamma\left(s\right)\Gamma\left(s+\tfrac{1}{2}\right)\*\Gamma%
\left(s+\tfrac{3}{4}\right)\Gamma\left(\tfrac{1}{4}-s\right)\,\mathrm{d}s,\]