DLMF:29.15.E13 (Q8758): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Lamé polynomial / rank
 
Normal rank
Property / Symbols used: Lamé polynomial / qualifier
 
Defining formula:

𝑐𝐸 2 n + 1 m ( z , k 2 ) Lame-polynomial-cE 𝑚 2 𝑛 1 𝑧 superscript 𝑘 2 {\displaystyle{\displaystyle\mathit{cE}^{\NVar{m}}_{2\NVar{n}+1}\left(\NVar{z}% ,\NVar{k^{2}}\right)}}

\LamepolycE{\NVar{m}}{2\NVar{n}+1}@{\NVar{z}}{\NVar{k^{2}}}
Property / Symbols used: Lamé polynomial / qualifier
 
xml-id: C29.S12.E3.m2adec

Revision as of 01:31, 2 January 2020

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DLMF:29.15.E13
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    Statements

    𝑐𝐸 2 n + 1 m ( z , k 2 ) = p = 0 n B 2 p + 1 sin ( ( 2 p + 1 ) ϕ ) . Lame-polynomial-cE 𝑚 2 𝑛 1 𝑧 superscript 𝑘 2 superscript subscript 𝑝 0 𝑛 subscript 𝐵 2 𝑝 1 2 𝑝 1 italic-ϕ {\displaystyle{\displaystyle\mathit{cE}^{m}_{2n+1}\left(z,k^{2}\right)=\sum_{p% =0}^{n}B_{2p+1}\sin\left((2p+1)\phi\right).}}
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    DLMF:29.15.E13
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    𝑐𝐸 2 n + 1 m ( z , k 2 ) Lame-polynomial-cE 𝑚 2 𝑛 1 𝑧 superscript 𝑘 2 {\displaystyle{\displaystyle\mathit{cE}^{\NVar{m}}_{2\NVar{n}+1}\left(\NVar{z}% ,\NVar{k^{2}}\right)}}
    C29.S12.E3.m2adec
    0 references