DLMF:10.27.E7 (Q3497): Difference between revisions

Revision as of 13:36, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:10.27.E7	No description defined

{\displaystyle{\displaystyle I_{\nu}\left(z\right)=\tfrac{1}{2}e^{\mp\nu\pi i/% 2}\left({H^{(1)}_{\nu}}\left(ze^{\pm\pi i/2}\right)+{H^{(2)}_{\nu}}\left(ze^{% \pm\pi i/2}\right)\right),}}

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DLMF:10.27.E7

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{\displaystyle{\displaystyle-\pi\leq\pm\operatorname{ph}z\leq\tfrac{1}{2}\pi}}

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{\displaystyle{\displaystyle{H^{(1)}_{\NVar{\nu}}}\left(\NVar{z}\right)}}

C10.S2.E5.m2adec

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

C10.S2.E6.m2adec

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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.m2adec