DLMF:29.8.E6 (Q8710): 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:

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

\Jacobielldnk@{\NVar{z}}{\NVar{k}}
Property / Symbols used: Jacobian elliptic function / qualifier
 
xml-id: C22.S2.E6.m2aadec
Property / Symbols used
 
Property / Symbols used: Q12382 / rank
 
Normal rank
Property / Symbols used: Q12382 / qualifier
 
test:

y 𝑦 {\displaystyle{\displaystyle y}}

y
Property / Symbols used: Q12382 / qualifier
 
xml-id: C29.S1.XMD5.m1adec
Property / Symbols used
 
Property / Symbols used: Q12348 / rank
 
Normal rank
Property / Symbols used: Q12348 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q12348 / qualifier
 
xml-id: C29.S1.XMD6.m1ddec
Property / Symbols used
 
Property / Symbols used: Q12350 / rank
 
Normal rank
Property / Symbols used: Q12350 / qualifier
 
test:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q12350 / qualifier
 
xml-id: C29.S1.XMD8.m1ddec

Latest revision as of 01:23, 2 January 2020

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DLMF:29.8.E6
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    Statements

    y = 1 k dn ( z , k ) dn ( z 1 , k ) . 𝑦 1 superscript 𝑘 Jacobi-elliptic-dn 𝑧 𝑘 Jacobi-elliptic-dn subscript 𝑧 1 𝑘 {\displaystyle{\displaystyle y=\frac{1}{k^{\prime}}\operatorname{dn}\left(z,k% \right)\operatorname{dn}\left(z_{1},k\right).}}
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    dn ( z , k ) Jacobi-elliptic-dn 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{dn}\left(\NVar{z},\NVar{k}\right)}}
    C22.S2.E6.m2aadec
    0 references
    y 𝑦 {\displaystyle{\displaystyle y}}
    C29.S1.XMD5.m1adec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C29.S1.XMD6.m1ddec
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    k 𝑘 {\displaystyle{\displaystyle k}}
    C29.S1.XMD8.m1ddec
    0 references