DLMF:22.19.E3 (Q7177): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12036 / rank
 
Normal rank
Property / Symbols used: Q12036 / qualifier
 
test:

E 𝐸 {\displaystyle{\displaystyle E}}

E
Property / Symbols used: Q12036 / qualifier
 
xml-id: C22.S19.XMD3.m1dec

Latest revision as of 14:39, 2 January 2020

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DLMF:22.19.E3
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    Statements

    test
    θ ⁢ ( t ) = 2 ⁢ am ⁡ ( t ⁢ E / 2 , 2 / E ) , 𝜃 𝑡 2 Jacobi-elliptic-amplitude 𝑡 𝐸 2 2 𝐸 {\displaystyle{\displaystyle\theta(t)=2\operatorname{am}\left(t\sqrt{E/2},% \sqrt{2/E}\right),}}
    0 references
    DLMF id
    DLMF:22.19.E3
    0 references
    Symbols used
    Jacobi’s amplitude function
    test
    am ⁡ ( x , k ) Jacobi-elliptic-amplitude 𝑥 𝑘 {\displaystyle{\displaystyle\operatorname{am}\left(\NVar{x},\NVar{k}\right)}}
    xml-id
    C22.S16.E1.m2adec
    0 references
    Q12034
    test
    θ ⁢ ( t ) 𝜃 𝑡 {\displaystyle{\displaystyle\theta(t)}}
    xml-id
    C22.S19.XMD1.m1bdec
    0 references
    Q12036
    test
    E 𝐸 {\displaystyle{\displaystyle E}}
    xml-id
    C22.S19.XMD3.m1dec
    0 references
     
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