DLMF:22.16.E32 (Q7152): Difference between revisions

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‎Changed an Item: Wikidata Toolkit example test statement addition
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Property / Symbols used
 
Property / Symbols used: Jacobi’s epsilon function / rank
 
Normal rank
Property / Symbols used: Jacobi’s epsilon function / qualifier
 
Defining formula:

ℰ ⁡ ( x , k ) Jacobi-Epsilon 𝑥 𝑘 {\displaystyle{\displaystyle\mathcal{E}\left(\NVar{x},\NVar{k}\right)}}

\JacobiEpsilonk@{\NVar{x}}{\NVar{k}}
Property / Symbols used: Jacobi’s epsilon function / qualifier
 
xml-id: C22.S16.E14.m2ardec

Revision as of 15:37, 2 January 2020

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DLMF:22.16.E32
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    Statements

    Defining formula
    Z ⁡ ( x | k ) = ℰ ⁡ ( x , k ) - ( E ⁡ ( k ) / K ⁡ ( k ) ) ⁢ x . Jacobi-Zeta 𝑥 𝑘 Jacobi-Epsilon 𝑥 𝑘 complete-elliptic-integral-second-kind-E 𝑘 complete-elliptic-integral-first-kind-K 𝑘 𝑥 {\displaystyle{\displaystyle\mathrm{Z}\left(x|k\right)=\mathcal{E}\left(x,k% \right)-(E\left(k\right)/K\left(k\right))x.}}
    0 references
    DLMF id
    DLMF:22.16.E32
    0 references
    Symbols used
    Jacobi’s epsilon function
    Defining formula
    ℰ ⁡ ( x , k ) Jacobi-Epsilon 𝑥 𝑘 {\displaystyle{\displaystyle\mathcal{E}\left(\NVar{x},\NVar{k}\right)}}
    xml-id
    C22.S16.E14.m2ardec
    0 references
     
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