Formula:3633

Digital Library of Mathematical Functions ID 9.12.E7

${\displaystyle{\displaystyle\mathrm{Gi}'\left(0\right)=\tfrac{1}{2}\mathrm{Hi}'\left(0\right)=\tfrac{1}{3}\mathrm{Bi}'\left(0\right)=1\Big{/}\left(3^{5/6}\Gamma\left(\tfrac{1}{3}\right)\right)=0.14942\;94524\ldots.}}$

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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