DLMF:28.24.E10 (Q8407)

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Language	Label	Description	Also known as
English	DLMF:28.24.E10	No description defined

Statements

Defining formula

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

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DLMF:28.24.E10

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aidec

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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.m2addec

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

C28.S20.E19.m1adec

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Defining formula

{\displaystyle{\displaystyle m}}

C28.S1.XMD1.m1hdec

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Defining formula

{\displaystyle{\displaystyle h}}

C28.S1.XMD11.m1idec

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Defining formula

{\displaystyle{\displaystyle z}}

C28.S1.XMD6.m1idec

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Defining formula

{\displaystyle{\displaystyle\varepsilon_{s}}}

C28.S24.XMD1.m1bdec

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Defining formula

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

C28.S4.XMD1.m1ddec

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