DLMF:18.28.E3 (Q5978): Difference between revisions

From testwiki
Jump to navigation Jump to search
← Older editNewer edit →
imported>Admin
imported>Admin
Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
test:

e {\displaystyle{\displaystyle\mathrm{e}}}

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2aadec

Revision as of 00:53, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:18.28.E3
No description defined

    Statements

    test
    2 ⁢ π ⁢ sin ⁡ θ ⁢ w ⁢ ( cos ⁡ θ ) = | ( e 2 ⁢ i ⁢ θ ; q ) ∞ ( a ⁢ e i ⁢ θ , b ⁢ e i ⁢ θ , c ⁢ e i ⁢ θ , d ⁢ e i ⁢ θ ; q ) ∞ | 2 , 2 𝜋 𝜃 𝑤 𝜃 q-Pochhammer-symbol superscript 𝑒 2 𝑖 𝜃 𝑞 q-multiple-Pochhammer 𝑎 superscript 𝑒 𝑖 𝜃 𝑏 superscript 𝑒 𝑖 𝜃 𝑐 superscript 𝑒 𝑖 𝜃 𝑑 superscript 𝑒 𝑖 𝜃 𝑞 2 {\displaystyle{\displaystyle 2\pi\sin\theta\,w(\cos\theta)={\left|\frac{\left(% e^{2i\theta};q\right)_{\infty}}{\left(ae^{i\theta},be^{i\theta},ce^{i\theta},% de^{i\theta};q\right)_{\infty}}\right|^{2}},}}
    0 references
    DLMF id
    DLMF:18.28.E3
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
    0 references
    cosine function
    test
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2aadec
    0 references
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aadec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q5978&oldid=34522"