DLMF:10.23.E2 (Q3454)

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Language	Label	Description	Also known as
English	DLMF:10.23.E2	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathscr{C}_{\nu}\left(u\pm v\right)=\sum_{k=-% \infty}^{\infty}\mathscr{C}_{\nu\mp k}\left(u\right)J_{k}\left(v\right),}}

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DLMF:10.23.E2

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{\displaystyle{\displaystyle|v|<|u|}}

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Bessel function of the first kind

Defining formula

{\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S2.E2.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathscr{C}_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S2.Px5.p1.m3aadec

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Defining formula

{\displaystyle{\displaystyle k}}

C10.S1.XMD3.m1adec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1adec

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