DLMF:12.7.E5 (Q4128)

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Language	Label	Description	Also known as
English	DLMF:12.7.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle U\left(\tfrac{1}{2},z\right)=D_{-1}\left(z\right)% =\sqrt{\tfrac{1}{2}\pi}\,e^{\frac{1}{4}z^{2}}\operatorname{erfc}\left(z/\sqrt{% 2}\right),}}

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DLMF:12.7.E5

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Defining formula

{\displaystyle{\displaystyle D_{\NVar{\nu}}\left(\NVar{z}\right)}}

C12.S1.p3.m6abdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2abdec

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complementary error function

Defining formula

{\displaystyle{\displaystyle\operatorname{erfc}\NVar{z}}}

C7.S2.E2.m2adec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2addec

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Defining formula

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

C12.S2.SS1.p1.m1abdec

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Defining formula

{\displaystyle{\displaystyle z}}

C12.S1.XMD3.m1ddec

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