DLMF:9.6.E19 (Q2799): Difference between revisions

Revision as of 14:29, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:9.6.E19	No description defined

{\displaystyle{\displaystyle{H^{(2)}_{1/3}}\left(\zeta\right)=e^{\pi i/3}{H^{(% 2)}_{-1/3}}\left(\zeta\right)=e^{\pi i/6}\sqrt{3/z}\left(\mathrm{Ai}\left(-z% \right)+i\mathrm{Bi}\left(-z\right)\right),}}

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DLMF:9.6.E19

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

C9.S2.SS1.m1aldec

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

C9.S2.SS1.m2ajdec

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{\displaystyle{\displaystyle{H^{(2)}_{\NVar{\nu}}}\left(\NVar{z}\right)}}

C10.S2.E6.m2ahdec

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@@ Property / Symbols used @@
+Bessel function of the third kind (or Hankel function)
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle{H^{(2)}_{\NVar{\nu}}}\left(\NVar{z}\right)}}$ 
\HankelH{2}{\NVar{\nu}}@{\NVar{z}}
+xml-id: C10.S2.E6.m2ahdec