DLMF:12.7.E6 (Q4129): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:12.7.E6	No description defined

Statements

Defining formula

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

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DLMF:12.7.E6

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{\displaystyle{\displaystyle n=0,1,2,\dots}}

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Defining formula

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

C12.S1.p3.m6acdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2acdec

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complementary error function

Defining formula

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

C7.S2.E2.m2aadec

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derivative of $$f$$ with respect to $$x$$

Defining formula

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

C1.S4.E4.m2adec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aedec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5adec

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Defining formula

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

C12.S2.SS1.p1.m1acdec

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Defining formula

{\displaystyle{\displaystyle z}}

C12.S1.XMD3.m1edec

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