DLMF:10.67.E3 (Q3848): Difference between revisions

Revision as of 14:25, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:10.67.E3	No description defined

{\displaystyle{\displaystyle\operatorname{ber}_{\nu}x\sim\frac{e^{x/\sqrt{2}}}% {(2\pi x)^{\frac{1}{2}}}\*\sum_{k=0}^{\infty}\frac{a_{k}(\nu)}{x^{k}}\cos\left% (\frac{x}{\sqrt{2}}+\left(\frac{\nu}{2}+\frac{3k}{4}-\frac{1}{8}\right)\pi% \right)-\frac{1}{\pi}(\sin\left(2\nu\pi\right)\operatorname{ker}_{\nu}x+\cos% \left(2\nu\pi\right)\operatorname{kei}_{\nu}x),}}

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DLMF:10.67.E3

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

C10.S61.E1.m2adec

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

C10.S61.E2.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:  ${\displaystyle{\displaystyle\operatorname{kei}_{\NVar{\nu}}\left(\NVar{x}% \right)}}$ 
\Kelvinkei{\NVar{\nu}}@{\NVar{x}}
@@ Property / Symbols used: Kelvin function / qualifier @@
+xml-id: C10.S61.E2.m3aadec