DLMF:29.14.E3 (Q8737): 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.m1abdec

Revision as of 00:28, 2 January 2020

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DLMF:29.14.E3
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    Statements

    test
    w ⁢ ( s , t ) = sn 2 ⁡ ( K ⁡ + i ⁢ t , k ) - sn 2 ⁡ ( s , k ) . 𝑤 𝑠 𝑡 Jacobi-elliptic-sn 2 complete-elliptic-integral-first-kind-K 𝑘 imaginary-unit 𝑡 𝑘 Jacobi-elliptic-sn 2 𝑠 𝑘 {\displaystyle{\displaystyle w(s,t)={\operatorname{sn}^{2}}\left(K+\mathrm{i}t% ,k\right)-{\operatorname{sn}^{2}}\left(s,k\right).}}
    0 references
    DLMF id
    DLMF:29.14.E3
    0 references
    Symbols used
    Jacobian elliptic function
    test
    sn ⁡ ( z , k ) Jacobi-elliptic-sn 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}}
    xml-id
    C22.S2.E4.m2adec
    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.m1abdec
    0 references
     
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