DLMF:30.2.E4 (Q8823): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12403 / rank
 
Normal rank
Property / Symbols used: Q12403 / qualifier
 
test:

λ 𝜆 {\displaystyle{\displaystyle\lambda}}

\lambda
Property / Symbols used: Q12403 / qualifier
 
xml-id: C30.S2.XMD2.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12404 / rank
 
Normal rank
Property / Symbols used: Q12404 / qualifier
 
test:

γ 2 superscript 𝛾 2 {\displaystyle{\displaystyle\gamma^{2}}}

\gamma^{2}
Property / Symbols used: Q12404 / qualifier
 
xml-id: C30.S2.XMD3.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12405 / rank
 
Normal rank
Property / Symbols used: Q12405 / qualifier
 
test:

μ 𝜇 {\displaystyle{\displaystyle\mu}}

\mu
Property / Symbols used: Q12405 / qualifier
 
xml-id: C30.S2.XMD4.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12406 / rank
 
Normal rank
Property / Symbols used: Q12406 / qualifier
 
test:

ζ 𝜁 {\displaystyle{\displaystyle\zeta}}

\zeta
Property / Symbols used: Q12406 / qualifier
 
xml-id: C30.S2.XMD5.m1dec

Latest revision as of 00:40, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:30.2.E4
No description defined

    Statements

    test
    ( ζ 2 - γ 2 ) ⁢ d 2 w d ζ 2 + 2 ⁢ ζ ⁢ d w d ζ + ( ζ 2 - λ - γ 2 - γ 2 ⁢ μ 2 ζ 2 - γ 2 ) ⁢ w = 0 . superscript 𝜁 2 superscript 𝛾 2 derivative 𝑤 𝜁 2 2 𝜁 derivative 𝑤 𝜁 superscript 𝜁 2 𝜆 superscript 𝛾 2 superscript 𝛾 2 superscript 𝜇 2 superscript 𝜁 2 superscript 𝛾 2 𝑤 0 {\displaystyle{\displaystyle(\zeta^{2}-\gamma^{2})\frac{{\mathrm{d}}^{2}w}{{% \mathrm{d}\zeta}^{2}}+2\zeta\frac{\mathrm{d}w}{\mathrm{d}\zeta}+\left(\zeta^{2% }-\lambda-\gamma^{2}-\frac{\gamma^{2}\mu^{2}}{\zeta^{2}-\gamma^{2}}\right)w=0.}}
    0 references
    DLMF id
    DLMF:30.2.E4
    0 references
    Symbols used
    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
    Q12402
    test
    w 𝑤 {\displaystyle{\displaystyle w}}
    xml-id
    C30.S2.XMD1.m1bdec
    0 references
    Q12403
    test
    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    xml-id
    C30.S2.XMD2.m1bdec
    0 references
    Q12404
    test
    γ 2 superscript 𝛾 2 {\displaystyle{\displaystyle\gamma^{2}}}
    xml-id
    C30.S2.XMD3.m1bdec
    0 references
    Q12405
    test
    μ 𝜇 {\displaystyle{\displaystyle\mu}}
    xml-id
    C30.S2.XMD4.m1bdec
    0 references
    Q12406
    test
    ζ 𝜁 {\displaystyle{\displaystyle\zeta}}
    xml-id
    C30.S2.XMD5.m1dec
    0 references
     
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