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

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q12406 / rank
 
Normal rank
Property / Symbols used: Q12406 / qualifier
 
Defining formula:

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

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

Latest revision as of 01:40, 2 January 2020

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DLMF:30.2.E4
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    Statements

    ( 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.}}
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    DLMF:30.2.E4
    0 references
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    C1.S4.E4.m2abdec
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    w 𝑤 {\displaystyle{\displaystyle w}}
    C30.S2.XMD1.m1bdec
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    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    C30.S2.XMD2.m1bdec
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    γ 2 superscript 𝛾 2 {\displaystyle{\displaystyle\gamma^{2}}}
    C30.S2.XMD3.m1bdec
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    μ 𝜇 {\displaystyle{\displaystyle\mu}}
    C30.S2.XMD4.m1bdec
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    ζ 𝜁 {\displaystyle{\displaystyle\zeta}}
    C30.S2.XMD5.m1dec
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