DLMF:8.21.E16 (Q2738)

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Language	Label	Description	Also known as
English	DLMF:8.21.E16	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathrm{Si}\left(a,z\right)=z^{a}\sum_{k=0}^{% \infty}\frac{\left(2k+\frac{3}{2}\right){\left(1-\frac{1}{2}a\right)_{k}}}{{% \left(\frac{1}{2}+\frac{1}{2}a\right)_{k+1}}}\mathsf{j}_{2k+1}\left(z\right),}}

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DLMF:8.21.E16

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

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Defining formula

{\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}

C5.S2.SS3.m1adec

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generalized sine integral

Defining formula

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

C8.S21.E2.m3afdec

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spherical Bessel function of the first kind

Defining formula

{\displaystyle{\displaystyle\mathsf{j}_{\NVar{n}}\left(\NVar{z}\right)}}

C10.S47.E3.m2adec

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Defining formula

{\displaystyle{\displaystyle z}}

C8.S1.XMD2.m1ldec

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Defining formula

{\displaystyle{\displaystyle a}}

C8.S1.XMD3.m1mdec

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Defining formula

{\displaystyle{\displaystyle k}}

C8.S1.XMD5.m1bdec

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Sitelinks

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