DLMF:23.15.E9 (Q7339)

From testwiki
Revision as of 21:51, 29 December 2019 by imported>Admin (Admin moved page Main Page to Verifying DLMF with Maple and Mathematica)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:23.15.E9
No description defined

    Statements

    test
    η ⁡ ( τ ) = ( 1 2 ⁢ θ 1 ′ ⁡ ( 0 , q ) ) 1 / 3 = e i ⁢ π ⁢ τ / 12 ⁢ θ 3 ⁡ ( 1 2 ⁢ π ⁢ ( 1 + τ ) | 3 ⁢ τ ) . Dedekind-modular-Eta 𝜏 superscript 1 2 diffop Jacobi-theta 1 1 0 𝑞 1 3 superscript 𝑒 𝑖 𝜋 𝜏 12 Jacobi-theta-tau 3 1 2 𝜋 1 𝜏 3 𝜏 {\displaystyle{\displaystyle\eta\left(\tau\right)=\left(\tfrac{1}{2}\theta_{1}% '\left(0,q\right)\right)^{1/3}=e^{i\pi\tau/12}\theta_{3}\left(\tfrac{1}{2}\pi(% 1+\tau)\middle|3\tau\right).}}
    0 references
    DLMF id
    DLMF:23.15.E9
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q7339&oldid=41134"