DLMF:22.9.E4 (Q6996): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11985 / rank
 
Normal rank
Property / Symbols used: Q11985 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11985 / qualifier
 
xml-id: C22.S1.XMD3.m1cdec
Property / Symbols used
 
Property / Symbols used: Q11984 / rank
 
Normal rank
Property / Symbols used: Q11984 / qualifier
 
test:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q11984 / qualifier
 
xml-id: C22.S1.XMD4.m1cdec
Property / Symbols used
 
Property / Symbols used: Q11997 / rank
 
Normal rank
Property / Symbols used: Q11997 / qualifier
 
test:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q11997 / qualifier
 
xml-id: C22.S9.XMD1.m1cdec
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.m1cdec
Property / Symbols used
 
Property / Symbols used: Q11999 / rank
 
Normal rank
Property / Symbols used: Q11999 / qualifier
 
test:

s m , p ( r ) superscript subscript 𝑠 𝑚 𝑝 𝑟 {\displaystyle{\displaystyle s_{m,p}^{(r)}}}

s_{m,p}^{(r)}
Property / Symbols used: Q11999 / qualifier
 
xml-id: C22.S9.XMD3.m1adec

Latest revision as of 14:07, 2 January 2020

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DLMF:22.9.E4
No description defined

    Statements

    test
    s m , p ( 4 ) = sn ⁡ ( z + 4 ⁢ p - 1 ⁢ ( m - 1 ) ⁢ K ⁡ ( k ) , k ) , superscript subscript 𝑠 𝑚 𝑝 4 Jacobi-elliptic-sn 𝑧 4 superscript 𝑝 1 𝑚 1 complete-elliptic-integral-first-kind-K 𝑘 𝑘 {\displaystyle{\displaystyle s_{m,p}^{(4)}=\operatorname{sn}\left(z+4p^{-1}(m-% 1)K\left(k\right),k\right),}}
    0 references
    DLMF id
    DLMF:22.9.E4
    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.m2aadec
    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.m1acdec
    0 references
    Q11985
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C22.S1.XMD3.m1cdec
    0 references
    Q11984
    test
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C22.S1.XMD4.m1cdec
    0 references
    Q11997
    test
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C22.S9.XMD1.m1cdec
    0 references
    Q11998
    test
    p 𝑝 {\displaystyle{\displaystyle p}}
    xml-id
    C22.S9.XMD2.m1cdec
    0 references
    Q11999
    test
    s m , p ( r ) superscript subscript 𝑠 𝑚 𝑝 𝑟 {\displaystyle{\displaystyle s_{m,p}^{(r)}}}
    xml-id
    C22.S9.XMD3.m1adec
    0 references
     
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