DLMF:22.16.E33 (Q7153): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Jacobi’s zeta function / rank
 
Normal rank
Property / Symbols used: Jacobi’s zeta function / qualifier
 
test:

Z ( x | k ) Jacobi-Zeta 𝑥 𝑘 {\displaystyle{\displaystyle\mathrm{Z}\left(\NVar{x}|\NVar{k}\right)}}

\JacobiZetak@{\NVar{x}}{\NVar{k}}
Property / Symbols used: Jacobi’s zeta function / qualifier
 
xml-id: C22.S16.E32.m2aadec

Revision as of 14:37, 2 January 2020

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DLMF:22.16.E33
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    Statements

    Z ( x + K | k ) = Z ( x | k ) - k 2 sn ( x , k ) cd ( x , k ) , Jacobi-Zeta 𝑥 𝐾 𝑘 Jacobi-Zeta 𝑥 𝑘 superscript 𝑘 2 Jacobi-elliptic-sn 𝑥 𝑘 Jacobi-elliptic-cd 𝑥 𝑘 {\displaystyle{\displaystyle\mathrm{Z}\left(x+K|k\right)=\mathrm{Z}\left(x|k% \right)-k^{2}\operatorname{sn}\left(x,k\right)\operatorname{cd}\left(x,k\right% ),}}
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    Z ( x | k ) Jacobi-Zeta 𝑥 𝑘 {\displaystyle{\displaystyle\mathrm{Z}\left(\NVar{x}|\NVar{k}\right)}}
    C22.S16.E32.m2aadec
    0 references