DLMF:10.69.E2 (Q3893)

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No description defined

Language	Label	Description	Also known as
English	DLMF:10.69.E2	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{ber}_{\nu}\left(\nu x\right)+i% \operatorname{bei}_{\nu}\left(\nu x\right)\sim\frac{e^{\nu\xi}}{(2\pi\nu\xi)^{% \ifrac{1}{2}}}\left(\frac{xe^{3\pi i/4}}{1+\xi}\right)^{\nu}\sum_{k=0}^{\infty% }\frac{U_{k}(\xi^{-1})}{\nu^{k}},}}

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DLMF:10.69.E2

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Kelvin function

Defining formula

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

C10.S61.E1.m3adec

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Kelvin function

Defining formula

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

C10.S61.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.SS3.p1.m11adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle k}}

C10.S1.XMD3.m1dec

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Defining formula

{\displaystyle{\displaystyle x}}

C10.S1.XMD4.m1adec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1dec

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Defining formula

{\displaystyle{\displaystyle U_{k}(p)}}

C10.S41.XMD3.m1dec

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Defining formula

{\displaystyle{\displaystyle\xi}}

C10.S69.XMD1.m1adec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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