DLMF:7.18.E8 (Q2458)

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Language	Label	Description	Also known as
English	DLMF:7.18.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle(-1)^{n}\mathop{\mathrm{i}^{n}\mathrm{erfc}}\left(% z\right)+\mathop{\mathrm{i}^{n}\mathrm{erfc}}\left(-z\right)=\frac{i^{-n}}{2^{% n-1}n!}H_{n}\left(iz\right).}}

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DLMF:7.18.E8

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Defining formula

{\displaystyle{\displaystyle H_{\NVar{n}}\left(\NVar{x}\right)}}

C18.S3.T1.t1.r13.m2adec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5acdec

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Defining formula

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

C1.S9.E1.m2adec

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repeated integrals of the complementary error function

Defining formula

{\displaystyle{\displaystyle\mathop{\mathrm{i}^{\NVar{n}}\mathrm{erfc}}\left(% \NVar{z}\right)}}

C7.S18.E2.m2ahdec

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