\[\int_{0}^{\infty}t^{\mu-\nu-1}\mathbf{H}_{\nu}\left(t\right)\,\mathrm{d}t=%
\frac{\Gamma\left(\tfrac{1}{2}\mu\right)2^{\mu-\nu-1}\tan\left(\tfrac{1}{2}\pi%
\mu\right)}{\Gamma\left(\nu-\tfrac{1}{2}\mu+1\right)},\]