DLMF:22.16.E5 (Q7124): Difference between revisions

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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.m1ddec

Revision as of 14:31, 2 January 2020

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DLMF:22.16.E5
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    Statements

    test
    am ⁡ ( x , 1 ) = gd ⁡ ( x ) . Jacobi-elliptic-amplitude 𝑥 1 Gudermannian 𝑥 {\displaystyle{\displaystyle\operatorname{am}\left(x,1\right)=\operatorname{gd% }\left(x\right).}}
    0 references
    DLMF id
    DLMF:22.16.E5
    0 references
    Symbols used
    Gudermannian function
    test
    gd ⁡ x Gudermannian 𝑥 {\displaystyle{\displaystyle\operatorname{gd}\NVar{x}}}
    xml-id
    C4.S23.E39.m2adec
    0 references
    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.m2addec
    0 references
    Q12003
    test
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C22.S1.XMD1.m1ddec
    0 references
     
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