DLMF:10.9#Ex6

MaRDI QIDQ3778

• Label: DLMF:10.9#Ex6

Digital Library of Mathematical Functions ID 10.9#Ex6

${\displaystyle{\displaystyle Y_{\nu}\left(x\right)=-\frac{2(\tfrac{1}{2}x)^{-\nu}}{\pi^{\frac{1}{2}}\Gamma\left(\tfrac{1}{2}-\nu\right)}\int_{1}^{\infty}\frac{\cos\left(xt\right)\mathrm{d}t}{(t^{2}-1)^{\nu+\frac{1}{2}}},}}$

Constraint(s)

${\displaystyle{\displaystyle|\Re\nu|<\tfrac{1}{2}}}$
${\displaystyle{\displaystyle|\Re\nu|<\tfrac{1}{2}}}$
${\displaystyle{\displaystyle x>0}}$

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