Difference between revisions of "Value of Ai(0)"
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==Proof== | ==Proof== | ||
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+ | [[Category:Theorem]] | ||
+ | [[Category:Unproven]] |
Latest revision as of 23:06, 9 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.