Formula:3582

Digital Library of Mathematical Functions ID 9.10.E2

${\displaystyle{\displaystyle\int_{-\infty}^{z}\mathrm{Ai}\left(t\right)\mathrm{d}t=\pi\left(\mathrm{Ai}\left(z\right)\mathrm{Hi}'\left(z\right)-\mathrm{Ai}'\left(z\right)\mathrm{Hi}\left(z\right)\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}$:
• ${\displaystyle{\displaystyle\mathrm{Hi}\left(\NVar{z}\right)}}$: Scorer function (inhomogeneous Airy function)
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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