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

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Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
test:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2addec

Revision as of 12:39, 2 January 2020

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DLMF:19.5.E5
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    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
     
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