DLMF:31.12.E3 (Q9110)

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DLMF:31.12.E3
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    Statements

    Defining formula
    d 2 w d z 2 - ( γ z + δ + z ) ⁢ d w d z + α ⁢ z - q z ⁢ w = 0 . derivative 𝑤 𝑧 2 𝛾 𝑧 𝛿 𝑧 derivative 𝑤 𝑧 𝛼 𝑧 𝑞 𝑧 𝑤 0 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}-\left(% \frac{\gamma}{z}+\delta+z\right)\frac{\mathrm{d}w}{\mathrm{d}z}+\frac{\alpha z% -q}{z}w=0.}}
    0 references
    DLMF id
    DLMF:31.12.E3
    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.m2abdec
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    Q12457
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C31.S1.XMD1.m1bdec
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    Q12458
    Defining formula
    γ 𝛾 {\displaystyle{\displaystyle\gamma}}
    xml-id
    C31.S1.XMD10.m1bdec
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    Q12459
    Defining formula
    δ 𝛿 {\displaystyle{\displaystyle\delta}}
    xml-id
    C31.S1.XMD11.m1bdec
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    Q12462
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C31.S1.XMD7.m1bdec
    0 references
     
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