DLMF:10.16.E9 (Q3168)

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Language	Label	Description	Also known as
English	DLMF:10.16.E9	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle J_{\nu}\left(z\right)=\frac{(\tfrac{1}{2}z)^{\nu}% }{\Gamma\left(\nu+1\right)}{{}_{0}F_{1}}\left(-;\nu+1;-\tfrac{1}{4}z^{2}\right% ).}}

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DLMF:10.16.E9

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Bessel function of the first kind

Defining formula

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

C10.S2.E2.m2aedec

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Defining formula

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

C5.S2.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots% ,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{z}\right)}}

C16.S2.m1adec

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1hdec

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Sitelinks

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