DLMF:15.10.E1 (Q5114)

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DLMF:15.10.E1
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    Statements

    Defining formula
    z ⁢ ( 1 - z ) ⁢ d 2 w d z 2 + ( c - ( a + b + 1 ) ⁢ z ) ⁢ d w d z - a ⁢ b ⁢ w = 0 . 𝑧 1 𝑧 derivative 𝑤 𝑧 2 𝑐 𝑎 𝑏 1 𝑧 derivative 𝑤 𝑧 𝑎 𝑏 𝑤 0 {\displaystyle{\displaystyle z(1-z)\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}% +\left(c-(a+b+1)z\right)\frac{\mathrm{d}w}{\mathrm{d}z}-abw=0.}}
    0 references
    DLMF id
    DLMF:15.10.E1
    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
    Q11644
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C15.S1.XMD3.m1dec
    0 references
     
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