DLMF:28.24.E4 (Q8401)

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Language	Label	Description	Also known as
English	DLMF:28.24.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{\mathrm{Ms}^{(j)}_{2m+1}}\left(z,h\right)=(-1)^{m% }\sum_{\ell=0}^{\infty}(-1)^{\ell}\frac{B_{2\ell+1}^{2m+1}(h^{2})}{B_{2s+1}^{2% m+1}(h^{2})}\left(J_{\ell-s}\left(he^{-z}\right){\cal C}_{\ell+s+1}^{(j)}(he^{% z})-J_{\ell+s+1}\left(he^{-z}\right){\cal C}_{\ell-s}^{(j)}(he^{z})\right),}}

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DLMF:28.24.E4

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Bessel function of the first kind

Defining formula

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

C10.S2.E2.m2acdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2acdec

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radial Mathieu function

Defining formula

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

C28.S20.E16.m2adec

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Defining formula

{\displaystyle{\displaystyle m}}

C28.S1.XMD1.m1bdec

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Defining formula

{\displaystyle{\displaystyle h}}

C28.S1.XMD11.m1cdec

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Defining formula

{\displaystyle{\displaystyle j}}

C28.S1.XMD3.m1cdec

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Defining formula

{\displaystyle{\displaystyle z}}

C28.S1.XMD6.m1cdec

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Defining formula

{\displaystyle{\displaystyle\mathcal{C}_{\mu}^{(j)}}}

C28.S23.XMD1.m1cdec

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Defining formula

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

C28.S4.XMD2.m1dec

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Sitelinks

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