DLMF:29.2.E5 (Q8578): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Jacobi’s amplitude function / rank
 
Normal rank
Property / Symbols used: Jacobi’s amplitude function / qualifier
 
Defining formula:

am ⁡ ( x , k ) Jacobi-elliptic-amplitude 𝑥 𝑘 {\displaystyle{\displaystyle\operatorname{am}\left(\NVar{x},\NVar{k}\right)}}

\Jacobiamk@{\NVar{x}}{\NVar{k}}
Property / Symbols used: Jacobi’s amplitude function / qualifier
 
xml-id: C22.S16.E1.m2adec

Revision as of 15:42, 2 January 2020

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DLMF:29.2.E5
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    Statements

    Defining formula
    ϕ = 1 2 ⁢ π - am ⁡ ( z , k ) . italic-ϕ 1 2 𝜋 Jacobi-elliptic-amplitude 𝑧 𝑘 {\displaystyle{\displaystyle\phi=\tfrac{1}{2}\pi-\operatorname{am}\left(z,k% \right).}}
    0 references
    DLMF id
    DLMF:29.2.E5
    0 references
    Symbols used
    Jacobi’s amplitude function
    Defining formula
    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
     
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