Formula:3548

Digital Library of Mathematical Functions ID 9.8.E16

${\displaystyle{\displaystyle x^{2}{M^{2}}\left(x\right)={N'^{2}}\left(x\right)+{N^{2}}\left(x\right){\phi'^{2}}\left(x\right)={N'^{2}}\left(x\right)+\pi^{-2}x^{2}{N^{-2}}\left(x\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle M\left(\NVar{z}\right)}}$: Airy modulus function
• ${\displaystyle{\displaystyle N\left(\NVar{z}\right)}}$: Airy modulus function
• ${\displaystyle{\displaystyle\phi\left(\NVar{z}\right)}}$: Airy phase function
• ${\displaystyle{\displaystyle x}}$: real variable
 

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