DLMF:28.24.E12 (Q8409): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:28.24.E12	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathrm{Ke}_{2m+1}\left(z,h\right)=\sum_{\ell=0}^{% \infty}\frac{B_{2\ell+1}^{2m+1}(h^{2})}{B_{2s+1}^{2m+1}(h^{2})}\left(I_{\ell-s% }\left(he^{-z}\right)K_{\ell+s+1}\left(he^{z}\right)-I_{\ell+s+1}\left(he^{-z}% \right)K_{\ell-s}\left(he^{z}\right)\right),}}

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DLMF:28.24.E12

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2akdec

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modified Bessel function of the first kind

Defining formula

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

C10.S25.E2.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.m2abdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{Ke}_{\NVar{n}}\left(\NVar{z},\NVar{h}% \right)}}

C28.S20.E19.m1aadec

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Defining formula

{\displaystyle{\displaystyle m}}

C28.S1.XMD1.m1jdec

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Defining formula

{\displaystyle{\displaystyle h}}

C28.S1.XMD11.m1kdec

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Defining formula

{\displaystyle{\displaystyle z}}

C28.S1.XMD6.m1kdec

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Defining formula

{\displaystyle{\displaystyle B_{m}(q)}}

C28.S4.XMD2.m1edec

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