DLMF:10.61.E4 (Q3793): 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.E4	No description defined

{\displaystyle{\displaystyle x^{4}\frac{{\mathrm{d}}^{4}w}{{\mathrm{d}x}^{4}}+% 2x^{3}\frac{{\mathrm{d}}^{3}w}{{\mathrm{d}x}^{3}}-(1+2\nu^{2})\left(x^{2}\frac% {{\mathrm{d}}^{2}w}{{\mathrm{d}x}^{2}}-x\frac{\mathrm{d}w}{\mathrm{d}x}\right)% +(\nu^{4}-4\nu^{2}+x^{4})w=0,}}

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DLMF:10.61.E4

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{\displaystyle{\displaystyle w=\operatorname{ber}_{\pm\nu}x,\operatorname{bei}% _{\pm\nu}x,\operatorname{ker}_{\pm\nu}x,\operatorname{kei}_{\pm\nu}x}}

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

C10.S61.E1.m3abdec

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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.m3abdec