DLMF:28.24.E9 (Q8406)

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Language	Label	Description	Also known as
English	DLMF:28.24.E9	No description defined

Statements

Defining formula

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

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DLMF:28.24.E9

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2ahdec

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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.m2acdec

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modified Mathieu function

Defining formula

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

C28.S20.E18.m2aadec

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Defining formula

{\displaystyle{\displaystyle m}}

C28.S1.XMD1.m1gdec

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Defining formula

{\displaystyle{\displaystyle h}}

C28.S1.XMD11.m1hdec

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Defining formula

{\displaystyle{\displaystyle z}}

C28.S1.XMD6.m1hdec

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Defining formula

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

C28.S4.XMD1.m1cdec

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