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DLMF:20.15.E1 - MaRDI portal

DLMF:20.15.E1 (Q7551)

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DLMF:20.15.E1
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    Statements

    DLMF defining formula
    sin ⁡ α = θ 2 2 ⁡ ( 0 , q ) / θ 3 2 ⁡ ( 0 , q ) = k . 𝛼 Jacobi-theta 2 2 0 𝑞 Jacobi-theta 3 2 0 𝑞 𝑘 {\displaystyle{\displaystyle\sin\alpha={\theta_{2}^{2}}\left(0,q\right)/{% \theta_{3}^{2}}\left(0,q\right)=k.}}
    0 references
    Symbols used
    Q11948
    DLMF defining formula
    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.m2adec
    0 references
    sine function
    DLMF defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2adec
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    nome
    DLMF defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C20.S1.XMD5.m1dec
    0 references

    Identifiers

     
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