DLMF:12.13.E6 (Q4235): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:12.13.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle n!U\left(n+\tfrac{1}{2},z\right)=i^{n}e^{-\frac{1% }{2}z^{2}}\operatorname{erfc}(z/\sqrt{2})U\left(-n-\tfrac{1}{2},iz\right)+\sum% _{m=1}^{\left\lfloor\frac{1}{2}n+\frac{1}{2}\right\rfloor}U\left(2m-n-\tfrac{1% }{2},z\right),}}

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DLMF:12.13.E6

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

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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.m2aedec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5abdec

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Defining formula

{\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}

introduction.Sx4.p1.t1.r17.m4adec

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Defining formula

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

C1.S9.E1.m2adec

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Sitelinks

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