DLMF:20.4.E12 (Q6767): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11945 / rank
 
Normal rank
Property / Symbols used: Q11945 / qualifier
 
Defining formula:

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.m2akdec

Revision as of 14:32, 2 January 2020

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DLMF:20.4.E12
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    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)}.}}
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    DLMF:20.4.E12
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    θ j ( z , q ) Jacobi-theta 𝑗 𝑧 𝑞 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}
    C20.S2.SS1.m2akdec
    0 references