DLMF:10.9#Ex9

MaRDI QIDQ3788

• Label: DLMF:10.9#Ex9

Digital Library of Mathematical Functions ID 10.9#Ex9

${\displaystyle{\displaystyle{H^{(1)}_{\nu}}\left(z\right)=\frac{\Gamma\left(\tfrac{1}{2}-\nu\right)(\tfrac{1}{2}z)^{\nu}}{\pi^{\frac{3}{2}}i}\int_{1+i\infty}^{(1+)}e^{izt}(t^{2}-1)^{\nu-\frac{1}{2}}\mathrm{d}t,}}$

Constraint(s)

${\displaystyle{\displaystyle\nu\neq\tfrac{1}{2},\tfrac{3}{2},\ldots,|\operatorname{ph}z|<\tfrac{1}{2}\pi}}$

Resources that cite this formula

No records found.