DLMF:23.6.E13 (Q7254)

From DRMF
Revision as of 15:48, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:23.6.E13
No description defined

    Statements

    Defining formula
    ζ ⁡ ( u ) = η 1 ω 1 ⁢ u + π 2 ⁢ ω 1 ⁢ d d z ⁡ ln ⁡ θ 1 ⁡ ( z , q ) , Weierstrass-zeta-on-lattice 𝑢 𝕃 subscript 𝜂 1 subscript 𝜔 1 𝑢 𝜋 2 subscript 𝜔 1 derivative 𝑧 Jacobi-theta 1 𝑧 𝑞 {\displaystyle{\displaystyle\zeta\left(u\right)=\frac{\eta_{1}}{\omega_{1}}u+% \frac{\pi}{2\omega_{1}}\frac{\mathrm{d}}{\mathrm{d}z}\ln\theta_{1}\left(z,q% \right),}}
    0 references
    DLMF id
    DLMF:23.6.E13
    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.m2akdec
    0 references
    DLMF:23.2.E5
    Defining formula
    ζ ⁡ ( z ) Weierstrass-zeta-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\zeta\left(\NVar{z}\right)}}
    xml-id
    C23.S2.E5.m2adec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aldec
    0 references
    derivative of $$f$$ with respect to $$x$$
    Defining formula
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    xml-id
    C1.S4.E4.m2adec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q7254&oldid=61092"