DLMF:8.21.E17 (Q2739)

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Language	Label	Description	Also known as
English	DLMF:8.21.E17	No description defined

Statements

Defining formula

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

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DLMF:8.21.E17

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{\displaystyle{\displaystyle a\neq 0,-2,-4,\dots}}

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Defining formula

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

C5.S2.SS3.m1aadec

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generalized cosine integral

Defining formula

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

C8.S21.E2.m2aedec

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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.m2aadec

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Defining formula

{\displaystyle{\displaystyle z}}

C8.S1.XMD2.m1mdec

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Defining formula

{\displaystyle{\displaystyle a}}

C8.S1.XMD3.m1ndec

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Defining formula

{\displaystyle{\displaystyle k}}

C8.S1.XMD5.m1cdec

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Sitelinks

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