DLMF:10.16.E10 (Q3169)

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Language	Label	Description	Also known as
English	DLMF:10.16.E10	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle J_{\nu}\left(z\right)=(\tfrac{1}{2}z)^{\nu}\lim% \mathbf{F}\left(\lambda,\mu;\nu+1;-z^{2}/(4\lambda\mu)\right),}}

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DLMF:10.16.E10

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Bessel function of the first kind

Defining formula

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

C10.S2.E2.m2afdec

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$$={{}_{2}{\mathbf{F}}_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Olver’s hypergeometric function

Defining formula

{\displaystyle{\displaystyle\mathbf{F}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z% }\right)}}

C15.S2.E2.m2adec

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1idec

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