DLMF:19.5.E5 (Q6134): Difference between revisions

From testwiki
Jump to navigation Jump to search
← Older editNewer edit →
imported>Admin
imported>Admin
Property / Symbols used
 
Property / Symbols used: Q11600 / rank
 
Normal rank
Property / Symbols used: Q11600 / qualifier
 
test:

K ⁡ ( k ) complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle K\left(\NVar{k}\right)}}

\compellintKk@{\NVar{k}}
Property / Symbols used: Q11600 / qualifier
 
xml-id: C19.S2.E8.m1aadec

Revision as of 12:39, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:19.5.E5
No description defined

    Statements

    test
    q = exp ⁡ ( - π ⁢ K ′ ⁡ ( k ) / K ⁡ ( k ) ) = r + 8 ⁢ r 2 + 84 ⁢ r 3 + 992 ⁢ r 4 + ⋯ , 𝑞 𝜋 complementary-complete-elliptic-integral-first-kind-K 𝑘 complete-elliptic-integral-first-kind-K 𝑘 𝑟 8 superscript 𝑟 2 84 superscript 𝑟 3 992 superscript 𝑟 4 ⋯ {\displaystyle{\displaystyle q=\exp\left(-\pi{K^{\prime}}\left(k\right)/K\left% (k\right)\right)=r+8r^{2}+84r^{3}+992r^{4}+\cdots,}}
    0 references
    DLMF id
    DLMF:19.5.E5
    0 references
    constraint
    0 ≤ k ≤ 1 0 𝑘 1 {\displaystyle{\displaystyle 0\leq k\leq 1}}
    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.m2addec
    0 references
    Q11821
    test
    K ′ ⁡ ( k ) complementary-complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle{K^{\prime}}\left(\NVar{k}\right)}}
    xml-id
    C19.S2.E9.m1adec
    0 references
    Q11600
    test
    K ⁡ ( k ) complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle K\left(\NVar{k}\right)}}
    xml-id
    C19.S2.E8.m1aadec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q6134&oldid=35330"