DLMF:8.2.E14 (Q2494)

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DLMF:8.2.E14
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    Statements

    Defining formula
    z ⁢ d 2 γ * d z 2 + ( a + 1 + z ) ⁢ d γ * d z + a ⁢ γ * = 0 . 𝑧 derivative incomplete-gamma-star 𝑧 2 𝑎 1 𝑧 derivative incomplete-gamma-star 𝑧 𝑎 incomplete-gamma-star 0 {\displaystyle{\displaystyle z\frac{{\mathrm{d}}^{2}\gamma^{*}}{{\mathrm{d}z}^% {2}}+(a+1+z)\frac{\mathrm{d}\gamma^{*}}{\mathrm{d}z}+a\gamma^{*}=0.}}
    0 references
    DLMF id
    DLMF:8.2.E14
    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
    0 references
    incomplete gamma function
    Defining formula
    γ * ⁡ ( a , z ) incomplete-gamma-star 𝑎 𝑧 {\displaystyle{\displaystyle\gamma^{*}\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C8.S2.E6.m2acdec
    0 references
    Q11323
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C8.S1.XMD2.m1mdec
    0 references
    Q11324
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C8.S1.XMD3.m1mdec
    0 references
     
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