Formula:3490

Digital Library of Mathematical Functions ID 9.6.E12

${\displaystyle{\displaystyle J_{\pm 2/3}\left(\zeta\right)=\tfrac{1}{2}(\sqrt{3}/z)\left(\pm\sqrt{3}\mathrm{Ai}'\left(-z\right)+\mathrm{Bi}'\left(-z\right)\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}$:
• ${\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}$:
• ${\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}$: Bessel function of the first kind
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle\zeta(z)}}$: change of variable (locally)
 

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