DLMF:20.7.E20 (Q6815): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11949 / rank
 
Normal rank
Property / Symbols used: Q11949 / qualifier
 
Defining formula:

τ 𝜏 {\displaystyle{\displaystyle\tau}}

\tau
Property / Symbols used: Q11949 / qualifier
 
xml-id: C20.S1.XMD4.m1edec

Latest revision as of 14:39, 2 January 2020

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DLMF:20.7.E20
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    Statements

    Defining formula
    B ≡ B ⁢ ( τ ) = 1 / ( θ 3 ⁡ ( 0 | τ ) ⁢ θ 4 ⁡ ( 0 | τ ) ⁢ θ 3 ⁡ ( 1 4 ⁢ π | τ ) ) , equal-by definition 𝐵 𝐵 𝜏 1 Jacobi-theta-tau 3 0 𝜏 Jacobi-theta-tau 4 0 𝜏 Jacobi-theta-tau 3 1 4 𝜋 𝜏 {\displaystyle{\displaystyle B\equiv B(\tau)=\ifrac{1}{\left(\theta_{3}\left(0% \middle|\tau\right)\theta_{4}\left(0\middle|\tau\right)\theta_{3}\left(\tfrac{% 1}{4}\pi\middle|\tau\right)\right)},}}
    0 references
    DLMF id
    DLMF:20.7.E20
    0 references
    Symbols used
    Q11946
    Defining formula
    θ j ⁡ ( z | τ ) Jacobi-theta-tau 𝑗 𝑧 𝜏 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z}\middle|\NVar{\tau}% \right)}}
    xml-id
    C20.S2.SS1.m1aedec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2abdec
    0 references
    Q10769
    Defining formula
    ≡ equal-by definition {\displaystyle{\displaystyle\equiv}}
    xml-id
    introduction.Sx4.p1.t1.r9.m2aadec
    0 references
    Q11949
    Defining formula
    τ 𝜏 {\displaystyle{\displaystyle\tau}}
    xml-id
    C20.S1.XMD4.m1edec
    0 references
     
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