DLMF:7.18.E14 (Q2464)

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Language	Label	Description	Also known as
English	DLMF:7.18.E14	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathop{\mathrm{i}^{n}\mathrm{erfc}}\left(z\right)% \sim\frac{2}{\sqrt{\pi}}\frac{e^{-z^{2}}}{(2z)^{n+1}}\sum_{m=0}^{\infty}\frac{% (-1)^{m}(2m+n)!}{n!m!(2z)^{2m}},}}

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DLMF:7.18.E14

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{\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{3}{4}\pi-\delta(<% \tfrac{3}{4}\pi)}}

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{\displaystyle{\displaystyle z\to\infty}}

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{\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{3}{4}\pi-\delta(<% \tfrac{3}{4}\pi)}}

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Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.SS3.p1.m11adec

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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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base of natural logarithm

Defining formula

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

C4.S2.E11.m2afdec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5addec

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Defining formula

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

C1.S9.E7.m1adec

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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.m2andec

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Defining formula

{\displaystyle{\displaystyle z}}

C7.S1.XMD2.m1mdec

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Defining formula

{\displaystyle{\displaystyle n}}

C7.S1.XMD3.m1mdec

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