DLMF:8.21.E12 (Q2734)

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No description defined

Language	Label	Description	Also known as
English	DLMF:8.21.E12	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathrm{Si}\left(a,\infty\right)=\Gamma\left(a% \right)\sin\left(\tfrac{1}{2}\pi a\right),}}

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DLMF:8.21.E12

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{\displaystyle{\displaystyle a\neq-1,-3,-5,\dots}}

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Defining formula

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

C5.S2.E1.m2acdec

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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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generalized sine integral

Defining formula

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

C8.S21.E2.m3addec

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Defining formula

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

C4.S14.E1.m2acdec

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Defining formula

{\displaystyle{\displaystyle a}}

C8.S1.XMD3.m1idec

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Sitelinks

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