DLMF:13.16.E6 (Q4557)

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Language	Label	Description	Also known as
English	DLMF:13.16.E6	No description defined

Statements

{\displaystyle{\displaystyle W_{\kappa,\mu}\left(z\right)=\frac{e^{-\frac{1}{2% }z}z^{\kappa+1}}{\Gamma\left(\frac{1}{2}+\mu-\kappa\right)\Gamma\left(\frac{1}% {2}-\mu-\kappa\right)}\*\int_{0}^{\infty}\frac{W_{-\kappa,\mu}\left(t\right)e^% {-\frac{1}{2}t}t^{-\kappa-1}}{t+z}\mathrm{d}t,}}

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DLMF:13.16.E6

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{\displaystyle{\displaystyle|\operatorname{ph}{z}|<\pi}}

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{\displaystyle{\displaystyle\Re(\frac{1}{2}+\mu-\kappa)>\max\left(2\Re\mu,0% \right)}}

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