DLMF:12.5.E6 (Q4120)

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Language	Label	Description	Also known as
English	DLMF:12.5.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle U\left(a,z\right)=\frac{e^{\frac{1}{4}z^{2}}}{i% \sqrt{2\pi}}\int_{c-i\infty}^{c+i\infty}e^{-zt+\frac{1}{2}t^{2}}t^{-a-\frac{1}% {2}}\mathrm{d}t,}}

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DLMF:12.5.E6

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{\displaystyle{\displaystyle-\tfrac{1}{2}\pi<\operatorname{ph}t<\tfrac{1}{2}% \pi}}

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{\displaystyle{\displaystyle-\tfrac{1}{2}\pi<\operatorname{ph}t<\tfrac{1}{2}% \pi}}

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{\displaystyle{\displaystyle c>0}}

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