DLMF:22.9.E2 (Q6994): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11998 / rank
Normal rank
 
Property / Symbols used: Q11998 / qualifier
test:

p 𝑝 {\displaystyle{\displaystyle p}}

p
 
Property / Symbols used: Q11998 / qualifier
xml-id: C22.S9.XMD2.m1adec
 
Property / Symbols used
 
Property / Symbols used: Q12000 / rank
Normal rank
 
Property / Symbols used: Q12000 / qualifier
test:

c m , p ( r ) superscript subscript 𝑐 𝑚 𝑝 𝑟 {\displaystyle{\displaystyle c_{m,p}^{(r)}}}

c_{m,p}^{(r)}
 
Property / Symbols used: Q12000 / qualifier
xml-id: C22.S9.XMD4.m1dec
 

Latest revision as of 14:06, 2 January 2020

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DLMF:22.9.E2
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    Statements

    test
    c m , p ( 2 ) = cn ⁡ ( z + 2 ⁢ p - 1 ⁢ ( m - 1 ) ⁢ K ⁡ ( k ) , k ) , superscript subscript 𝑐 𝑚 𝑝 2 Jacobi-elliptic-cn 𝑧 2 superscript 𝑝 1 𝑚 1 complete-elliptic-integral-first-kind-K 𝑘 𝑘 {\displaystyle{\displaystyle c_{m,p}^{(2)}=\operatorname{cn}\left(z+2p^{-1}(m-% 1)K\left(k\right),k\right),}}
    0 references
    DLMF id
    DLMF:22.9.E2
    0 references
    Symbols used
    Jacobian elliptic function
    test
    cn ⁡ ( z , k ) Jacobi-elliptic-cn 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{cn}\left(\NVar{z},\NVar{k}\right)}}
    xml-id
    C22.S2.E5.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.m1aadec
    0 references
    Q11985
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C22.S1.XMD3.m1adec
    0 references
    Q11984
    test
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C22.S1.XMD4.m1adec
    0 references
    Q11997
    test
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C22.S9.XMD1.m1adec
    0 references
     
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