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

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(Created page with "<div class="toccolours mw-collapsible mw-collapsed"> <strong>Theorem:</strong> The following formula holds: $$\mathrm{Ai}(0)=\dfrac{1}{3^{\frac{2}{3}}\Gamma...")
 
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where $\mathrm{Ai}$ denotes the [[Airy Ai]] function and $\Gamma$ denotes the [[gamma]] function.
 
where $\mathrm{Ai}$ denotes the [[Airy Ai]] function and $\Gamma$ denotes the [[gamma]] function.
 
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<div class="mw-collapsible-content">
<strong>Proof:</strong> proof goes here █  
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<strong>Proof:</strong> █  
 
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Revision as of 07:24, 16 May 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: