Formula:3632

Digital Library of Mathematical Functions ID 9.12.E6

${\displaystyle{\displaystyle\mathrm{Gi}\left(0\right)=\tfrac{1}{2}\mathrm{Hi}\left(0\right)=\tfrac{1}{3}\mathrm{Bi}\left(0\right)={1\Big{/}\!\left(3^{7/6}\Gamma\left(\tfrac{2}{3}\right)\right)=0.20497\;55424\ldots,}}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}$:
• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle\mathrm{Gi}\left(\NVar{z}\right)}}$: Scorer function (inhomogeneous Airy function)
• ${\displaystyle{\displaystyle\mathrm{Hi}\left(\NVar{z}\right)}}$: Scorer function (inhomogeneous Airy function)
 

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