DLMF:10.67.E8 (Q3853)

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Language	Label	Description	Also known as
English	DLMF:10.67.E8	No description defined

Statements

Defining formula

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

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DLMF:10.67.E8

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Kelvin function

Defining formula

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

C10.S61.E1.m3aadec

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Kelvin function

Defining formula

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

C10.S61.E2.m3aedec

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Sitelinks

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