DLMF:14.5.E27 (Q4739): Difference between revisions

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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.m1afdec

Revision as of 00:25, 2 January 2020

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DLMF:14.5.E27
No description defined

    Statements

    test
    𝑸 - 1 2 ⁡ ( cosh ⁡ ξ ) = 2 ⁢ π - 1 / 2 ⁢ e - ξ / 2 ⁢ K ⁡ ( e - ξ ) . shorthand-associated-Legendre-black-Q 1 2 𝜉 2 superscript 𝜋 1 2 superscript 𝑒 𝜉 2 complete-elliptic-integral-first-kind-K superscript 𝑒 𝜉 {\displaystyle{\displaystyle\boldsymbol{Q}_{-\frac{1}{2}}\left(\cosh\xi\right)% =2\pi^{-1/2}e^{-\xi/2}K\left(e^{-\xi}\right).}}
    0 references
    DLMF id
    DLMF:14.5.E27
    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.m2apdec
    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.m1afdec
    0 references
     
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