Difference between revisions of "Value of Ai(0)"

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==Proof==
 
==Proof==
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[[Category:Theorem]]

Revision as of 08:03, 5 June 2016

Theorem

The following formula holds: $$\mathrm{Ai}(0)=\dfrac{1}{3^{\frac{2}{3}}\Gamma\left(\frac{2}{3} \right)}=0.3550280538\ldots,$$ where $\mathrm{Ai}$ denotes the Airy Ai function and $\Gamma$ denotes the gamma function.

Proof