DLMF:20.7.E18 (Q6813): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: DLMF:20.7.E15 / rank
 
Normal rank
Property / Symbols used: DLMF:20.7.E15 / qualifier
 
Defining formula:

A 𝐴 {\displaystyle{\displaystyle A}}

A
Property / Symbols used: DLMF:20.7.E15 / qualifier
 
xml-id: C20.S7.XMD1.m1cdec

Latest revision as of 14:38, 2 January 2020

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DLMF:20.7.E18
No description defined

    Statements

    Defining formula
    θ 3 ⁡ ( 2 ⁢ z | 2 ⁢ τ ) = A ⁢ θ 3 ⁡ ( 1 4 ⁢ π - z | τ ) ⁢ θ 3 ⁡ ( 1 4 ⁢ π + z | τ ) , Jacobi-theta-tau 3 2 𝑧 2 𝜏 𝐴 Jacobi-theta-tau 3 1 4 𝜋 𝑧 𝜏 Jacobi-theta-tau 3 1 4 𝜋 𝑧 𝜏 {\displaystyle{\displaystyle\theta_{3}\left(2z\middle|2\tau\right)=A\theta_{3}% \left(\tfrac{1}{4}\pi-z\middle|\tau\right)\theta_{3}\left(\tfrac{1}{4}\pi+z% \middle|\tau\right),}}
    0 references
    DLMF id
    DLMF:20.7.E18
    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.m1acdec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aadec
    0 references
    Q11948
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C20.S1.XMD3.m1odec
    0 references
    Q11949
    Defining formula
    τ 𝜏 {\displaystyle{\displaystyle\tau}}
    xml-id
    C20.S1.XMD4.m1cdec
    0 references
    DLMF:20.7.E15
    Defining formula
    A 𝐴 {\displaystyle{\displaystyle A}}
    xml-id
    C20.S7.XMD1.m1cdec
    0 references
     
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