DLMF:22.15.E2 (Q7095): Difference between revisions

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Property / constraint
 

- 1 x 1 1 𝑥 1 {\displaystyle{\displaystyle-1\leq x\leq 1}}

-1\leq x\leq 1
Property / constraint: - 1 x 1 1 𝑥 1 {\displaystyle{\displaystyle-1\leq x\leq 1}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Jacobian elliptic function / rank
 
Normal rank
Property / Symbols used: Jacobian elliptic function / qualifier
 
test:

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

\Jacobiellcnk@{\NVar{z}}{\NVar{k}}
Property / Symbols used: Jacobian elliptic function / qualifier
 
xml-id: C22.S2.E5.m2adec
Property / Symbols used
 
Property / Symbols used: Q12003 / rank
 
Normal rank
Property / Symbols used: Q12003 / qualifier
 
test:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q12003 / qualifier
 
xml-id: C22.S1.XMD1.m1adec
Property / Symbols used
 
Property / Symbols used: Q11984 / rank
 
Normal rank
Property / Symbols used: Q11984 / qualifier
 
test:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q11984 / qualifier
 
xml-id: C22.S1.XMD4.m1adec
Property / Symbols used
 
Property / Symbols used: Q12005 / rank
 
Normal rank
Property / Symbols used: Q12005 / qualifier
 
test:

η 𝜂 {\displaystyle{\displaystyle\eta}}

\eta
Property / Symbols used: Q12005 / qualifier
 
xml-id: C22.S15.XMD2.m1dec

Latest revision as of 14:26, 2 January 2020

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DLMF:22.15.E2
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    Statements

    cn ( η , k ) = x , Jacobi-elliptic-cn 𝜂 𝑘 𝑥 {\displaystyle{\displaystyle\operatorname{cn}\left(\eta,k\right)=x,}}
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    - 1 x 1 1 𝑥 1 {\displaystyle{\displaystyle-1\leq x\leq 1}}
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    cn ( z , k ) Jacobi-elliptic-cn 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{cn}\left(\NVar{z},\NVar{k}\right)}}
    C22.S2.E5.m2adec
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    x 𝑥 {\displaystyle{\displaystyle x}}
    C22.S1.XMD1.m1adec
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    k 𝑘 {\displaystyle{\displaystyle k}}
    C22.S1.XMD4.m1adec
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    η 𝜂 {\displaystyle{\displaystyle\eta}}
    C22.S15.XMD2.m1dec
    0 references