Formula:3542

Digital Library of Mathematical Functions ID 9.8.E12

${\displaystyle{\displaystyle\phi\left(x\right)=\tfrac{1}{3}\pi+\operatorname{arctan}\left(Y_{2/3}\left(\xi\right)/J_{2/3}\left(\xi\right)\right).}}$

Symbols List

• ${\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}$: Bessel function of the first kind
• ${\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}$: Bessel function of the second kind
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}$:
• ${\displaystyle{\displaystyle\phi\left(\NVar{z}\right)}}$: Airy phase function
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle\xi}}$: change of variable
 

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