DLMF:20.7.E19 (Q6814): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Q11948 / rank
 
Normal rank
Property / Symbols used: Q11948 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11948 / qualifier
 
xml-id: C20.S1.XMD3.m1pdec
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.m1ddec
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.m1ddec

Latest revision as of 14:38, 2 January 2020

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DLMF:20.7.E19
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    Statements

    θ 4 ( 2 z | 2 τ ) = A θ 3 ( z | τ ) θ 4 ( z | τ ) . Jacobi-theta-tau 4 2 𝑧 2 𝜏 𝐴 Jacobi-theta-tau 3 𝑧 𝜏 Jacobi-theta-tau 4 𝑧 𝜏 {\displaystyle{\displaystyle\theta_{4}\left(2z\middle|2\tau\right)=A\theta_{3}% \left(z\middle|\tau\right)\theta_{4}\left(z\middle|\tau\right).}}
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    DLMF:20.7.E19
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    θ j ( z | τ ) Jacobi-theta-tau 𝑗 𝑧 𝜏 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z}\middle|\NVar{\tau}% \right)}}
    C20.S2.SS1.m1addec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C20.S1.XMD3.m1pdec
    0 references
    τ 𝜏 {\displaystyle{\displaystyle\tau}}
    C20.S1.XMD4.m1ddec
    0 references
    A 𝐴 {\displaystyle{\displaystyle A}}
    C20.S7.XMD1.m1ddec
    0 references