Difference between revisions of "Airy zeta function at 2"

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(Created page with "==Theorem== The following formula holds: $$\zeta_{\mathrm{Ai}}(2)=\dfrac{3^{\frac{5}{3}}\Gamma^4(\frac{2}{3})}{4\pi^2},$$ where $\zeta_{\mathrm{Ai}}$ denotes the Airy Ai,...")
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Revision as of 17:14, 24 June 2016

Theorem

The following formula holds: $$\zeta_{\mathrm{Ai}}(2)=\dfrac{3^{\frac{5}{3}}\Gamma^4(\frac{2}{3})}{4\pi^2},$$ where $\zeta_{\mathrm{Ai}}$ denotes the Airy Ai, $\Gamma$ denotes the gamma function, and $\pi$ denotes pi.

Proof

References