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DLMF:20.4.E12 - MaRDI portal

DLMF:20.4.E12 (Q7462)

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DLMF:20.4.E12
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    Statements

    DLMF defining formula
    θ 1 ′′′ ⁡ ( 0 , q ) θ 1 ′ ⁡ ( 0 , q ) = θ 2 ′′ ⁡ ( 0 , q ) θ 2 ⁡ ( 0 , q ) + θ 3 ′′ ⁡ ( 0 , q ) θ 3 ⁡ ( 0 , q ) + θ 4 ′′ ⁡ ( 0 , q ) θ 4 ⁡ ( 0 , q ) . diffop Jacobi-theta 1 3 0 𝑞 diffop Jacobi-theta 1 1 0 𝑞 diffop Jacobi-theta 2 2 0 𝑞 Jacobi-theta 2 0 𝑞 diffop Jacobi-theta 3 2 0 𝑞 Jacobi-theta 3 0 𝑞 diffop Jacobi-theta 4 2 0 𝑞 Jacobi-theta 4 0 𝑞 {\displaystyle{\displaystyle\frac{\theta_{1}'''\left(0,q\right)}{\theta_{1}'% \left(0,q\right)}=\frac{\theta_{2}''\left(0,q\right)}{\theta_{2}\left(0,q% \right)}+\frac{\theta_{3}''\left(0,q\right)}{\theta_{3}\left(0,q\right)}+\frac% {\theta_{4}''\left(0,q\right)}{\theta_{4}\left(0,q\right)}.}}
    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.m2akdec
    0 references
    nome
    DLMF defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C20.S1.XMD5.m1kdec
    0 references

    Identifiers

     
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