DLMF:8.12.E5 (Q2599)

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No description defined

Language	Label	Description	Also known as
English	DLMF:8.12.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{e^{\pm\pi ia}}{2i\sin\left(\pi a\right)}Q% \left(-a,ze^{\pm\pi i}\right)=\pm\tfrac{1}{2}\operatorname{erfc}\left(\pm i% \eta\sqrt{a/2}\right)-iT(a,\eta),}}

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DLMF:8.12.E5

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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complementary error function

Defining formula

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

C7.S2.E2.m2abdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2adec

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Defining formula

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

C1.S9.E1.m2adec

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incomplete gamma function

Defining formula

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

C8.S2.E2.m2adec

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Defining formula

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

C8.S2.E4.m2aadec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle z}}

C8.S1.XMD2.m1cdec

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Defining formula

{\displaystyle{\displaystyle a}}

C8.S1.XMD3.m1cdec

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Defining formula

{\displaystyle{\displaystyle\eta(\lambda)}}

C8.S12.XMD1.m1ddec

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Defining formula

{\displaystyle{\displaystyle T(a,\eta)}}

C8.S12.XMD4.m1dec

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Sitelinks

Wikipedia(0 entries)

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