DLMF:13.21.E22 (Q4630): Difference between revisions

Revision as of 14:20, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:13.21.E22	No description defined

{\displaystyle{\displaystyle M_{\kappa,\mu}\left(x\right)=\frac{1}{2\pi}\*% \Gamma\left(2\mu+1\right)\*\Gamma\left(\kappa-\mu+\tfrac{1}{2}\right)\*% \widehat{c}(\kappa,\mu)\*\widehat{\Psi}(\kappa,\mu,x)\*\left(\sin\left(\kappa% \pi-\mu\pi\right)\mathrm{Ai}\left(\kappa^{\frac{2}{3}}\widehat{\zeta}\right)+% \cos\left(\kappa\pi-\mu\pi\right)\mathrm{Bi}\left(\kappa^{\frac{2}{3}}\widehat% {\zeta}\right)+\mathrm{envBi}\left(\kappa^{\frac{2}{3}}\widehat{\zeta}\right)O% \left(\kappa^{-1}\right)\right),}}

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DLMF:13.21.E22

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{\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}

C9.S2.SS1.m1adec

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@@ Property / Symbols used @@
+Q10919
@@ Property / Symbols used: Q10919 / rank @@
+Normal rank
@@ Property / Symbols used: Q10919 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}$ 
\AiryAi@{\NVar{z}}
@@ Property / Symbols used: Q10919 / qualifier @@
+xml-id: C9.S2.SS1.m1adec