DLMF:29.15.E43 (Q8788): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:29.15.E43	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathit{uE}^{m}_{2n}\left(z,k^{2}\right)=\tfrac{1}% {2}A_{0}+\sum_{p=1}^{n}A_{2p}T_{2p}\left(\operatorname{sn}\left(z,k\right)% \right).}}

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DLMF:29.15.E43

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Defining formula

{\displaystyle{\displaystyle T_{\NVar{n}}\left(\NVar{x}\right)}}

C18.S3.T1.t1.r4.m2adec

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Jacobian elliptic function

Defining formula

{\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}}

C22.S2.E4.m2adec

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Lamé polynomial

Defining formula

{\displaystyle{\displaystyle\mathit{uE}^{\NVar{m}}_{2\NVar{n}}\left(\NVar{z},% \NVar{k^{2}}\right)}}

C29.S12.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle m}}

C29.S1.XMD1.m1pdec

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Defining formula

{\displaystyle{\displaystyle n}}

C29.S1.XMD2.m1ahdec

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Defining formula

{\displaystyle{\displaystyle p}}

C29.S1.XMD3.m1xdec

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Defining formula

{\displaystyle{\displaystyle z}}

C29.S1.XMD6.m1hdec

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Defining formula

{\displaystyle{\displaystyle k}}

C29.S1.XMD8.m1tdec

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Defining formula

{\displaystyle{\displaystyle A_{2p}}}

C29.S6.XMD3.m1dec

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Sitelinks

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