DLMF:33.20.E9 (Q9678): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:33.20.E9	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{\sf H}_{k}(\ell;r)=(-1)^{\ell+1}\frac{2}{\pi}\sum% _{p=2k}^{3k}(2|r|)^{(p+1)/2}C_{k,p}K_{2\ell+1+p}\left(\sqrt{8|r|}\right),}}

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DLMF:33.20.E9

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{\displaystyle{\displaystyle r<0}}

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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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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}}

C33.S1.XMD1.m1fdec

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Defining formula

{\displaystyle{\displaystyle\ell}}

C33.S1.XMD2.m1hdec

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Defining formula

{\displaystyle{\displaystyle r}}

C33.S1.XMD3.m1gdec

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Defining formula

{\displaystyle{\displaystyle C_{k,p}}}

C33.S20.XMD2.m1ddec

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Sitelinks

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