DLMF:10.21.E42 (Q3349)

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Language	Label	Description	Also known as
English	DLMF:10.21.E42	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle J_{\nu}'\left(j_{\nu,m}\right)=-\frac{2}{\nu^{% \frac{2}{3}}}\frac{\mathrm{Ai}'\left(a_{m}\right)}{z(\zeta)h(\zeta)}\left(1+O% \left(\frac{1}{\nu^{2}}\right)\right),}}

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DLMF:10.21.E42

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{\displaystyle{\displaystyle\zeta=\nu^{-\frac{2}{3}}a_{m}}}

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Defining formula

{\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}

C9.S2.SS1.m1adec

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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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order not exceeding

Defining formula

{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

C2.S1.E3.m2aadec

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Defining formula

{\displaystyle{\displaystyle a_{\NVar{k}}}}

C9.S9.SS1.p1.m5abdec

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Defining formula

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

C10.S21.SS1.p2.m11andec

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