DLMF:27.13.E4 (Q8096): Difference between revisions

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Property / constraint
 

| x | < 1 𝑥 1 {\displaystyle{\displaystyle|x|<1}}

|x|<1
Property / constraint: | x | < 1 𝑥 1 {\displaystyle{\displaystyle|x|<1}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Q11945 / rank
 
Normal rank
Property / Symbols used: Q11945 / qualifier
 
test:

θ j ( z , q ) Jacobi-theta 𝑗 𝑧 𝑞 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}

\Jacobithetaq{\NVar{j}}@{\NVar{z}}{\NVar{q}}
Property / Symbols used: Q11945 / qualifier
 
xml-id: C20.S2.SS1.m2adec
Property / Symbols used
 
Property / Symbols used: Q12239 / rank
 
Normal rank
Property / Symbols used: Q12239 / qualifier
 
test:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q12239 / qualifier
 
xml-id: C27.S1.XMD3.m1adec

Latest revision as of 13:29, 2 January 2020

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DLMF:27.13.E4
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    Statements

    ϑ ( x ) = 1 + 2 m = 1 x m 2 , a-theta-function 𝑥 1 2 superscript subscript 𝑚 1 superscript 𝑥 superscript 𝑚 2 {\displaystyle{\displaystyle\vartheta\left(x\right)=1+2\sum_{m=1}^{\infty}x^{m% ^{2}},}}
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    | x | < 1 𝑥 1 {\displaystyle{\displaystyle|x|<1}}
    0 references
    θ j ( z , q ) Jacobi-theta 𝑗 𝑧 𝑞 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}
    C20.S2.SS1.m2adec
    0 references
    m 𝑚 {\displaystyle{\displaystyle m}}
    C27.S1.XMD3.m1adec
    0 references