DLMF:30.13.E9 (Q8922): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12403 / rank
 
Normal rank
Property / Symbols used: Q12403 / qualifier
 
Defining formula:

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

\lambda
Property / Symbols used: Q12403 / qualifier
 
xml-id: C30.S2.XMD2.m1dec
Property / Symbols used
 
Property / Symbols used: Q12405 / rank
 
Normal rank
Property / Symbols used: Q12405 / qualifier
 
Defining formula:

μ 𝜇 {\displaystyle{\displaystyle\mu}}

\mu
Property / Symbols used: Q12405 / qualifier
 
xml-id: C30.S2.XMD4.m1dec

Latest revision as of 01:52, 2 January 2020

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DLMF:30.13.E9
No description defined

    Statements

    Defining formula
    d d ξ ⁡ ( ( 1 - ξ 2 ) ⁢ d w 1 d ξ ) + ( λ + γ 2 ⁢ ( 1 - ξ 2 ) - μ 2 1 - ξ 2 ) ⁢ w 1 = 0 , derivative 𝜉 1 superscript 𝜉 2 derivative subscript 𝑤 1 𝜉 𝜆 superscript 𝛾 2 1 superscript 𝜉 2 superscript 𝜇 2 1 superscript 𝜉 2 subscript 𝑤 1 0 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}\xi}\left((1-\xi^{2})% \frac{\mathrm{d}w_{1}}{\mathrm{d}\xi}\right)+\left(\lambda+\gamma^{2}(1-\xi^{2% })-\frac{\mu^{2}}{1-\xi^{2}}\right)w_{1}=0,}}
    0 references
    DLMF id
    DLMF:30.13.E9
    0 references
    Symbols used
    derivative of $$f$$ with respect to $$x$$
    Defining formula
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    xml-id
    C1.S4.E4.m2adec
    0 references
    Q12436
    Defining formula
    ξ 𝜉 {\displaystyle{\displaystyle\xi}}
    xml-id
    C30.S13.XMD1.m1gdec
    0 references
    Q12441
    Defining formula
    w j subscript 𝑤 𝑗 {\displaystyle{\displaystyle w_{j}}}
    xml-id
    C30.S13.XMD7.m1bdec
    0 references
    Q12442
    Defining formula
    γ 2 = κ 2 ⁢ c 2 superscript 𝛾 2 superscript 𝜅 2 superscript 𝑐 2 {\displaystyle{\displaystyle\gamma^{2}=\kappa^{2}c^{2}}}
    xml-id
    C30.S13.XMD8.m1dec
    0 references
    Q12403
    Defining formula
    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    xml-id
    C30.S2.XMD2.m1dec
    0 references
    Q12405
    Defining formula
    μ 𝜇 {\displaystyle{\displaystyle\mu}}
    xml-id
    C30.S2.XMD4.m1dec
    0 references
     
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