DLMF:14.12.E6 (Q4827)

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Language	Label	Description	Also known as
English	DLMF:14.12.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\boldsymbol{Q}^{\mu}_{\nu}\left(x\right)=\frac{\pi% ^{1/2}\left(x^{2}-1\right)^{\mu/2}}{2^{\mu}\Gamma\left(\mu+\frac{1}{2}\right)% \Gamma\left(\nu-\mu+1\right)}\*\int_{0}^{\infty}\frac{(\sinh t)^{2\mu}}{\left(% x+(x^{2}-1)^{1/2}\cosh t\right)^{\nu+\mu+1}}\mathrm{d}t,}}

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DLMF:14.12.E6

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{\displaystyle{\displaystyle\Re(\nu+1)>\Re\mu>-\tfrac{1}{2}}}

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2aedec

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