DLMF:10.40.E2 (Q3580): Difference between revisions

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Latest revision as of 13:52, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:10.40.E2	No description defined

Statements

Defining formula

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

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DLMF:10.40.E2

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{\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{3}{2}\pi-\delta}}

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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.m2aadec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aadec

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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.m2adec

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Defining formula

{\displaystyle{\displaystyle\operatorname{ph}}}

C1.S9.E7.m1aadec

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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.m1adec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1adec

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Defining formula

{\displaystyle{\displaystyle\delta}}

C10.S1.XMD8.m1adec

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expansion (locally)

Defining formula

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

C10.S17.XMD1.m1adec

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Sitelinks

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