Formula:3646

Digital Library of Mathematical Functions ID 9.12.E20

${\displaystyle{\displaystyle\mathrm{Hi}\left(z\right)=\frac{1}{\pi}\int_{0}^{\infty}\exp\left(-\tfrac{1}{3}t^{3}+zt\right)\mathrm{d}t,}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{Hi}\left(\NVar{z}\right)}}$: 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
• ${\displaystyle{\displaystyle\exp\NVar{z}}}$: exponential function
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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