Formula:3640

Digital Library of Mathematical Functions ID 9.12.E14

${\displaystyle{\displaystyle\mathrm{Hi}\left(z\right)=e^{\pm 2\pi i/3}\mathrm{Hi}\left(ze^{\pm 2\pi i/3}\right)+2e^{\mp\pi i/6}\mathrm{Ai}\left(ze^{\mp 2\pi i/3}\right).}}$

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
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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