DLMF:28.23.E3 (Q8387)

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Language	Label	Description	Also known as
English	DLMF:28.23.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathrm{me}_{\nu}'\left(0,h^{2}\right){\mathrm{M}^% {(j)}_{\nu}}\left(z,h\right)=\mathrm{i}\tanh z\sum_{n=-\infty}^{\infty}(-1)^{n% }(\nu+2n)c_{2n}^{\nu}(h^{2}){\cal C}_{\nu+2n}^{(j)}(2h\cosh z),}}

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DLMF:28.23.E3

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Defining formula

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

C28.S12.SS2.p2.m2aadec

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hyperbolic cosine function

Defining formula

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

C4.S28.E2.m2aadec

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hyperbolic tangent function

Defining formula

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

C4.S28.E4.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2adec

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Defining formula

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

C28.S20.SS3.p1.m4aadec

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Defining formula

{\displaystyle{\displaystyle h}}

C28.S1.XMD11.m1adec

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Defining formula

{\displaystyle{\displaystyle n}}

C28.S1.XMD2.m1adec

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Defining formula

{\displaystyle{\displaystyle j}}

C28.S1.XMD3.m1bdec

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Defining formula

{\displaystyle{\displaystyle z}}

C28.S1.XMD6.m1adec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C28.S1.XMD7.m1adec

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Defining formula

{\displaystyle{\displaystyle c_{2m}(q)}}

C28.S14.XMD1.m1adec

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Defining formula

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

C28.S23.XMD1.m1bdec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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