DLMF:29.18.E7 (Q8808): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12349 / rank
 
Normal rank
Property / Symbols used: Q12349 / qualifier
 
test:

h ℎ {\displaystyle{\displaystyle h}}

h
Property / Symbols used: Q12349 / qualifier
 
xml-id: C29.S1.XMD7.m1adec
Property / Symbols used
 
Property / Symbols used: Q12350 / rank
 
Normal rank
Property / Symbols used: Q12350 / qualifier
 
test:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q12350 / qualifier
 
xml-id: C29.S1.XMD8.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12351 / rank
 
Normal rank
Property / Symbols used: Q12351 / qualifier
 
test:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q12351 / qualifier
 
xml-id: C29.S1.XMD9.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12396 / rank
 
Normal rank
Property / Symbols used: Q12396 / qualifier
 
test:

γ 𝛾 {\displaystyle{\displaystyle\gamma}}

\gamma
Property / Symbols used: Q12396 / qualifier
 
xml-id: C29.S18.XMD5.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12397 / rank
 
Normal rank
Property / Symbols used: Q12397 / qualifier
 
test:

u j subscript 𝑢 𝑗 {\displaystyle{\displaystyle u_{j}}}

u_{j}
Property / Symbols used: Q12397 / qualifier
 
xml-id: C29.S18.XMD6.m1cdec

Latest revision as of 00:39, 2 January 2020

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DLMF:29.18.E7
No description defined

    Statements

    test
    d 2 u 3 d γ 2 + ( h - ν ⁢ ( ν + 1 ) ⁢ k 2 ⁢ sn 2 ⁡ ( γ , k ) ) ⁢ u 3 = 0 , derivative subscript 𝑢 3 𝛾 2 ℎ 𝜈 𝜈 1 superscript 𝑘 2 Jacobi-elliptic-sn 2 𝛾 𝑘 subscript 𝑢 3 0 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}u_{3}}{{\mathrm{d}\gamma}^{2% }}+(h-\nu(\nu+1)k^{2}{\operatorname{sn}^{2}}\left(\gamma,k\right))u_{3}=0,}}
    0 references
    DLMF id
    DLMF:29.18.E7
    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.m2abdec
    0 references
    derivative of $$f$$ with respect to $$x$$
    test
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    xml-id
    C1.S4.E4.m2abdec
    0 references
    Q12349
    test
    h ℎ {\displaystyle{\displaystyle h}}
    xml-id
    C29.S1.XMD7.m1adec
    0 references
    Q12350
    test
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C29.S1.XMD8.m1cdec
    0 references
    Q12351
    test
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C29.S1.XMD9.m1bdec
    0 references
    Q12396
    test
    γ 𝛾 {\displaystyle{\displaystyle\gamma}}
    xml-id
    C29.S18.XMD5.m1cdec
    0 references
    Q12397
    test
    u j subscript 𝑢 𝑗 {\displaystyle{\displaystyle u_{j}}}
    xml-id
    C29.S18.XMD6.m1cdec
    0 references
     
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