DLMF:13.4.E18 (Q4381)

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Language	Label	Description	Also known as
English	DLMF:13.4.E18	No description defined

Statements

{\displaystyle{\displaystyle U\left(a,b,z\right)=\frac{z^{1-b}e^{z}}{2\pi% \mathrm{i}}\int_{-\mathrm{i}\infty}^{\mathrm{i}\infty}\frac{\Gamma\left(b-1+t% \right)\Gamma\left(t\right)}{\Gamma\left(a+t\right)}z^{-t}\mathrm{d}t,}}

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DLMF:13.4.E18

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{\displaystyle{\displaystyle|\operatorname{ph}{z}|<\tfrac{1}{2}\pi}}

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