DLMF:30.12.E1 (Q8908): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(3 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q12402 / rank
 
Normal rank
Property / Symbols used: Q12402 / qualifier
 
Defining formula:

w 𝑤 {\displaystyle{\displaystyle w}}

w
Property / Symbols used: Q12402 / qualifier
 
xml-id: C30.S2.XMD1.m1dec
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: Q12404 / rank
 
Normal rank
Property / Symbols used: Q12404 / qualifier
 
Defining formula:

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

\gamma^{2}
Property / Symbols used: Q12404 / qualifier
 
xml-id: C30.S2.XMD3.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 01:50, 2 January 2020

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English
DLMF:30.12.E1
No description defined

    Statements

    d d z ( ( 1 - z 2 ) d w d z ) + ( λ + α z + γ 2 ( 1 - z 2 ) - μ 2 1 - z 2 ) w = 0 , derivative 𝑧 1 superscript 𝑧 2 derivative 𝑤 𝑧 𝜆 𝛼 𝑧 superscript 𝛾 2 1 superscript 𝑧 2 superscript 𝜇 2 1 superscript 𝑧 2 𝑤 0 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}z}\left((1-z^{2})\frac% {\mathrm{d}w}{\mathrm{d}z}\right)+{\left(\lambda+\alpha z+\gamma^{2}(1-z^{2})-% \frac{\mu^{2}}{1-z^{2}}\right)w}=0,}}
    0 references
    DLMF:30.12.E1
    0 references
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    C1.S4.E4.m2adec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C30.S1.XMD1.m1dec
    0 references
    w 𝑤 {\displaystyle{\displaystyle w}}
    C30.S2.XMD1.m1dec
    0 references
    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    C30.S2.XMD2.m1dec
    0 references
    γ 2 superscript 𝛾 2 {\displaystyle{\displaystyle\gamma^{2}}}
    C30.S2.XMD3.m1dec
    0 references
    μ 𝜇 {\displaystyle{\displaystyle\mu}}
    C30.S2.XMD4.m1dec
    0 references