DLMF:10.41.E4 (Q3596)

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Language	Label	Description	Also known as
English	DLMF:10.41.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle K_{\nu}\left(\nu z\right)\sim\left(\frac{\pi}{2% \nu}\right)^{\frac{1}{2}}\frac{e^{-\nu\eta}}{(1+z^{2})^{\frac{1}{4}}}\sum_{k=0% }^{\infty}(-1)^{k}\frac{U_{k}(p)}{\nu^{k}},}}

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DLMF:10.41.E4

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Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.SS3.p1.m11aadec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2acdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2acdec

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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.m2aadec

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Defining formula

{\displaystyle{\displaystyle k}}

C10.S1.XMD3.m1adec

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1cdec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1cdec

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Defining formula

{\displaystyle{\displaystyle\eta}}

C10.S41.XMD1.m1adec

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Defining formula

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

C10.S41.XMD3.m1adec

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