DLMF:10.23.E21 (Q3475)

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Language	Label	Description	Also known as
English	DLMF:10.23.E21	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle x^{\nu}=\sum_{m=1}^{\infty}\frac{2J_{\nu}\left(j_% {\nu,m}x\right)}{j_{\nu,m}J_{\nu+1}\left(j_{\nu,m}\right)},}}

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DLMF:10.23.E21

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{\displaystyle{\displaystyle\nu>0,0\leq x<1}}

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Bessel function of the first kind

Defining formula

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

C10.S2.E2.m2aodec

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Defining formula

{\displaystyle{\displaystyle j_{\NVar{\nu},\NVar{m}}}}

C10.S21.SS1.p2.m11aadec

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Defining formula

{\displaystyle{\displaystyle m}}

C10.S1.XMD1.m1bdec

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Defining formula

{\displaystyle{\displaystyle x}}

C10.S1.XMD4.m1bdec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1idec

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Sitelinks

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