DLMF:10.61.E3 (Q3792): Difference between revisions

Revision as of 14:20, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:10.61.E3	No description defined

{\displaystyle{\displaystyle x^{2}\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}x}^{2}}+% x\frac{\mathrm{d}w}{\mathrm{d}x}-(ix^{2}+\nu^{2})w=0,}}

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DLMF:10.61.E3

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{\displaystyle{\displaystyle w=\begin{array}[t]{cc}\operatorname{ber}_{\nu}x+i% \operatorname{bei}_{\nu}x,&\operatorname{ber}_{-\nu}x+i\operatorname{bei}_{-% \nu}x\\ \operatorname{ker}_{\nu}x+i\operatorname{kei}_{\nu}x,&\operatorname{ker}_{-\nu% }x+i\operatorname{kei}_{-\nu}x.\end{array}}}

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{\displaystyle{\displaystyle\operatorname{bei}_{\NVar{\nu}}\left(\NVar{x}% \right)}}

C10.S61.E1.m3aadec

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@@ Property / Symbols used @@
+Kelvin function
@@ Property / Symbols used: Kelvin function / rank @@
+Normal rank
@@ Property / Symbols used: Kelvin function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{bei}_{\NVar{\nu}}\left(\NVar{x}% \right)}}$ 
\Kelvinbei{\NVar{\nu}}@{\NVar{x}}
@@ Property / Symbols used: Kelvin function / qualifier @@
+xml-id: C10.S61.E1.m3aadec