DLMF:28.23.E10 (Q8394): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:28.23.E10	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{\mathrm{Ms}^{(j)}_{2m+1}}\left(z,h\right)=(-1)^{m% }\left(\mathrm{se}_{2m+1}'\left(0,h^{2}\right)\right)^{-1}\tanh z\sum_{\ell=0}% ^{\infty}(-1)^{\ell}(2\ell+1)B_{2\ell+1}^{2m+1}(h^{2}){\cal C}_{2\ell+1}^{(j)}% (2h\cosh z),}}

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DLMF:28.23.E10

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Defining formula

{\displaystyle{\displaystyle\mathrm{se}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}

C28.S2.SS6.p1.m8adec

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hyperbolic cosine function

Defining formula

{\displaystyle{\displaystyle\cosh\NVar{z}}}

C4.S28.E2.m2addec

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hyperbolic tangent function

Defining formula

{\displaystyle{\displaystyle\tanh\NVar{z}}}

C4.S28.E4.m2aadec

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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.m1ddec

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Defining formula

{\displaystyle{\displaystyle h}}

C28.S1.XMD11.m1hdec

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Defining formula

{\displaystyle{\displaystyle j}}

C28.S1.XMD3.m1idec

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Defining formula

{\displaystyle{\displaystyle z}}

C28.S1.XMD6.m1hdec

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Defining formula

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

C28.S23.XMD1.m1idec

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Sitelinks

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