DLMF:10.20.E9 (Q3258): Difference between revisions

Revision as of 15:39, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:10.20.E9	No description defined

{\displaystyle{\displaystyle\rselection{{H^{(1)}_{\nu}}'\left(\nu z\right)\\ {H^{(2)}_{\nu}}'\left(\nu z\right)}\sim\frac{4e^{\mp 2\pi i/3}}{z}\left(\frac{% 1-z^{2}}{4\zeta}\right)^{\frac{1}{4}}\*\left(\frac{e^{\mp 2\pi i/3}\mathrm{Ai}% \left(e^{\pm 2\pi i/3}\nu^{\frac{2}{3}}\zeta\right)}{\nu^{\frac{4}{3}}}\sum_{k% =0}^{\infty}\frac{C_{k}(\zeta)}{\nu^{2k}}+\frac{\mathrm{Ai}'\left(e^{\pm 2\pi i% /3}\nu^{\frac{2}{3}}\zeta\right)}{\nu^{\frac{2}{3}}}\sum_{k=0}^{\infty}\frac{D% _{k}(\zeta)}{\nu^{2k}}\right),}}

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DLMF:10.20.E9

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

C9.S2.SS1.m1acdec

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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.m1acdec