DLMF:23.6.E8 (Q7249): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older edit
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q12067 / rank
 
Normal rank
Property / Symbols used: Q12067 / qualifier
 
Defining formula:

η j subscript 𝜂 𝑗 {\displaystyle{\displaystyle\eta_{j}}}

\eta_{j}
Property / Symbols used: Q12067 / qualifier
 
xml-id: C23.S6.XMD1.m1dec

Latest revision as of 15:47, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:23.6.E8
No description defined

    Statements

    Defining formula
    η 1 = - π 2 12 ⁢ ω 1 ⁢ θ 1 ′′′ ⁡ ( 0 , q ) θ 1 ′ ⁡ ( 0 , q ) . subscript 𝜂 1 superscript 𝜋 2 12 subscript 𝜔 1 diffop Jacobi-theta 1 3 0 𝑞 diffop Jacobi-theta 1 1 0 𝑞 {\displaystyle{\displaystyle\eta_{1}=-\frac{\pi^{2}}{12\omega_{1}}\frac{\theta% _{1}'''\left(0,q\right)}{\theta_{1}'\left(0,q\right)}.}}
    0 references
    DLMF id
    DLMF:23.6.E8
    0 references
    Symbols used
    Q11945
    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.m2afdec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2agdec
    0 references
    Q12066
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C23.S1.XMD10.m1gdec
    0 references
    Q12049
    Defining formula
    ω 1 subscript 𝜔 1 {\displaystyle{\displaystyle\omega_{1}}}
    xml-id
    C23.S1.XMD8.m1gdec
    0 references
    Q12067
    Defining formula
    η j subscript 𝜂 𝑗 {\displaystyle{\displaystyle\eta_{j}}}
    xml-id
    C23.S6.XMD1.m1dec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q7249&oldid=60896"