DLMF:29.14.E3 (Q8737): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Jacobian elliptic function / rank
 
Normal rank
Property / Symbols used: Jacobian elliptic function / qualifier
 
test:

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

\Jacobiellsnk@{\NVar{z}}{\NVar{k}}
Property / Symbols used: Jacobian elliptic function / qualifier
 
xml-id: C22.S2.E4.m2adec

Revision as of 00:28, 2 January 2020

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DLMF:29.14.E3
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    Statements

    w ( s , t ) = sn 2 ( K + i t , k ) - sn 2 ( s , k ) . 𝑤 𝑠 𝑡 Jacobi-elliptic-sn 2 complete-elliptic-integral-first-kind-K 𝑘 imaginary-unit 𝑡 𝑘 Jacobi-elliptic-sn 2 𝑠 𝑘 {\displaystyle{\displaystyle w(s,t)={\operatorname{sn}^{2}}\left(K+\mathrm{i}t% ,k\right)-{\operatorname{sn}^{2}}\left(s,k\right).}}
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    sn ( z , k ) Jacobi-elliptic-sn 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}}
    C22.S2.E4.m2adec
    0 references