DLMF:10.40.E10 (Q3588)

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Language	Label	Description	Also known as
English	DLMF:10.40.E10	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle K_{\nu}\left(z\right)=\left(\frac{\pi}{2z}\right)% ^{\frac{1}{2}}e^{-z}\left(\sum_{k=0}^{\ell-1}\frac{a_{k}(\nu)}{z^{k}}+R_{\ell}% (\nu,z)\right),}}

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DLMF:10.40.E10

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{\displaystyle{\displaystyle\ell=1,2,\ldots}}

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2afdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2afdec

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modified Bessel function of the second kind

Defining formula

{\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S25.E3.m2aedec

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Defining formula

{\displaystyle{\displaystyle k}}

C10.S1.XMD3.m1gdec

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1hdec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1idec

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expansion (locally)

Defining formula

{\displaystyle{\displaystyle a_{k}(\nu)}}

C10.S17.XMD1.m1cdec

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remainder (locally)

Defining formula

{\displaystyle{\displaystyle R_{\ell}(\nu,z)}}

C10.S40.XMD1.m1dec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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