DLMF:36.13.E8 (Q10017): Difference between revisions

Revision as of 15:21, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:36.13.E8	No description defined

{\displaystyle{\displaystyle z(\rho,\phi)=2\pi\left(\rho^{-1/3}u(\phi)\cos% \left(\rho\widetilde{f}(\phi)\right)\mathrm{Ai}\left(-\rho^{2/3}\Delta(\phi)% \right)\*(1+O\left(1/\rho\right))+\rho^{-2/3}v(\phi)\sin\left(\rho\widetilde{f% }(\phi)\right)\mathrm{Ai}'\left(-\rho^{2/3}\Delta(\phi)\right)\*(1+O\left(1/% \rho\right))\right),}}

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DLMF:36.13.E8

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{\displaystyle{\displaystyle\rho\to\infty}}

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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