DLMF:30.12.E2 (Q8909)

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DLMF:30.12.E2
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    Statements

    Defining formula
    d d z ⁡ ( ( 1 - z 2 ) ⁢ d w d z ) + ( λ + γ 2 ⁢ ( 1 - z 2 ) - α ⁢ ( α + 1 ) z 2 - μ 2 1 - z 2 ) ⁢ w = 0 , derivative 𝑧 1 superscript 𝑧 2 derivative 𝑤 𝑧 𝜆 superscript 𝛾 2 1 superscript 𝑧 2 𝛼 𝛼 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+\gamma^{2}(1-z^{2})-\frac{% \alpha(\alpha+1)}{z^{2}}-\frac{\mu^{2}}{1-z^{2}}\right)w=0,}}
    0 references
    DLMF id
    DLMF:30.12.E2
    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.m2aadec
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    Q12401
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C30.S1.XMD1.m1adec
    0 references
    Q12402
    Defining formula
    w 𝑤 {\displaystyle{\displaystyle w}}
    xml-id
    C30.S2.XMD1.m1adec
    0 references
    Q12403
    Defining formula
    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    xml-id
    C30.S2.XMD2.m1adec
    0 references
     
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