DLMF:12.5.E7 (Q4121)

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No description defined

Language	Label	Description	Also known as
English	DLMF:12.5.E7	No description defined

Statements

Defining formula

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

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DLMF:12.5.E7

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{\displaystyle{\displaystyle-\pi<\operatorname{ph}{t}<\pi}}

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{\displaystyle{\displaystyle-\pi<\operatorname{ph}{t}<\pi}}

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{\displaystyle{\displaystyle c>0}}

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aedec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1afdec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2afdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3afdec

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Defining formula

{\displaystyle{\displaystyle V\left(\NVar{a},\NVar{z}\right)}}

C12.S2.SS1.p1.m2adec

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Defining formula

{\displaystyle{\displaystyle\operatorname{ph}}}

C1.S9.E7.m1addec

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Defining formula

{\displaystyle{\displaystyle z}}

C12.S1.XMD3.m1fdec

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Defining formula

{\displaystyle{\displaystyle a}}

C12.S1.XMD6.m1fdec

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