DLMF:30.14.E7 (Q8940): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12449 / rank
 
Normal rank
Property / Symbols used: Q12449 / qualifier
 
test:

w j subscript 𝑤 𝑗 {\displaystyle{\displaystyle w_{j}}}

w_{j}
Property / Symbols used: Q12449 / qualifier
 
xml-id: C30.S14.XMD5.m1dec
Property / Symbols used
 
Property / Symbols used: Q12450 / rank
 
Normal rank
Property / Symbols used: Q12450 / qualifier
 
test:

γ 2 = κ 2 ⁢ c 2 superscript 𝛾 2 superscript 𝜅 2 superscript 𝑐 2 {\displaystyle{\displaystyle\gamma^{2}=\kappa^{2}c^{2}}}

\gamma^{2}=\kappa^{2}c^{2}
Property / Symbols used: Q12450 / qualifier
 
xml-id: C30.S14.XMD6.m1dec
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.m1dec
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.m1dec

Latest revision as of 12:21, 2 January 2020

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DLMF:30.14.E7
No description defined

    Statements

    test
    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:30.14.E7
    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.m2adec
    0 references
    Q12445
    test
    ξ 𝜉 {\displaystyle{\displaystyle\xi}}
    xml-id
    C30.S14.XMD1.m1fdec
    0 references
    Q12449
    test
    w j subscript 𝑤 𝑗 {\displaystyle{\displaystyle w_{j}}}
    xml-id
    C30.S14.XMD5.m1dec
    0 references
    Q12450
    test
    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.S14.XMD6.m1dec
    0 references
    Q12403
    test
    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    xml-id
    C30.S2.XMD2.m1dec
    0 references
    Q12405
    test
    μ 𝜇 {\displaystyle{\displaystyle\mu}}
    xml-id
    C30.S2.XMD4.m1dec
    0 references
     
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