DLMF:22.2.E8 (Q6930): Difference between revisions

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test:

q 𝑞 {\displaystyle{\displaystyle q}}

q
Property / Symbols used: nome / qualifier
 
xml-id: C22.S2.E1.m2afdec

Revision as of 13:55, 2 January 2020

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DLMF:22.2.E8
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    Statements

    test
    cd ⁡ ( z , k ) = θ 3 ⁡ ( 0 , q ) θ 2 ⁡ ( 0 , q ) ⁢ θ 2 ⁡ ( ζ , q ) θ 3 ⁡ ( ζ , q ) = 1 dc ⁡ ( z , k ) , Jacobi-elliptic-cd 𝑧 𝑘 Jacobi-theta 3 0 𝑞 Jacobi-theta 2 0 𝑞 Jacobi-theta 2 𝜁 𝑞 Jacobi-theta 3 𝜁 𝑞 1 Jacobi-elliptic-dc 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{cd}\left(z,k\right)=\frac{\theta_{3}% \left(0,q\right)}{\theta_{2}\left(0,q\right)}\frac{\theta_{2}\left(\zeta,q% \right)}{\theta_{3}\left(\zeta,q\right)}=\frac{1}{\operatorname{dc}\left(z,k% \right)},}}
    0 references
    DLMF id
    DLMF:22.2.E8
    0 references
    Symbols used
    Q11945
    test
    θ j ⁡ ( z , q ) Jacobi-theta 𝑗 𝑧 𝑞 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}
    xml-id
    C20.S2.SS1.m2aedec
    0 references
    nome
    test
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C22.S2.E1.m2afdec
    0 references
     
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