Difference between revisions of "Value of Ai'(0)"
From specialfunctionswiki
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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. | ||
==Proof== | ==Proof== | ||
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| + | [[Category:Theorem]] | ||
Revision as of 08:03, 5 June 2016
Theorem
The following formula holds: $$\mathrm{Ai}'(0)=-\dfrac{1}{3^{\frac{1}{3}}\Gamma\left(\frac{1}{3}\right)},$$ where $\mathrm{Ai}$ denotes the Airy Ai function and $\Gamma$ denotes the gamma function.
