DLMF:8.11.E11 (Q2584)

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Language	Label	Description	Also known as
English	DLMF:8.11.E11	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\gamma^{*}\left(1-a,-x\right)=x^{a-1}\left(-\cos% \left(\pi a\right)+\frac{\sin\left(\pi a\right)}{\pi}\left(2\sqrt{\pi}F\left(y% \right)+\frac{2}{3}\sqrt{\frac{2\pi}{a}}\left(1-y^{2}\right)\right)e^{y^{2}}+O% \left(a^{-1}\right)\right),}}

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DLMF:8.11.E11

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order not exceeding

Defining formula

{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

C2.S1.E3.m2abdec

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Dawson’s integral

Defining formula

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

C7.S2.E5.m2adec

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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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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2adec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2afdec

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incomplete gamma function

Defining formula

{\displaystyle{\displaystyle\gamma^{*}\left(\NVar{a},\NVar{z}\right)}}

C8.S2.E6.m2adec

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Defining formula

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

C4.S14.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle x}}

C8.S1.XMD1.m1cdec

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Defining formula

{\displaystyle{\displaystyle a}}

C8.S1.XMD3.m1hdec

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Defining formula

{\displaystyle{\displaystyle y}}

C8.S11.XMD5.m1adec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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