DLMF:8.8.E18 (Q2550): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11323 / rank
 
Normal rank
Property / Symbols used: Q11323 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11323 / qualifier
 
xml-id: C8.S1.XMD2.m1qdec

Revision as of 13:50, 2 January 2020

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DLMF:8.8.E18
No description defined

    Statements

    Defining formula
    d n d z n ⁡ ( z a ⁢ e z ⁢ γ * ⁡ ( a , z ) ) = z a - n ⁢ e z ⁢ γ * ⁡ ( a - n , z ) , derivative 𝑧 𝑛 superscript 𝑧 𝑎 superscript 𝑒 𝑧 incomplete-gamma-star 𝑎 𝑧 superscript 𝑧 𝑎 𝑛 superscript 𝑒 𝑧 incomplete-gamma-star 𝑎 𝑛 𝑧 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{n}}{{\mathrm{d}z}^{n}}(z^{a}e^% {z}\gamma^{*}\left(a,z\right))=z^{a-n}e^{z}\gamma^{*}\left(a-n,z\right),}}
    0 references
    DLMF id
    DLMF:8.8.E18
    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.m2addec
    0 references
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2amdec
    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.m2abdec
    0 references
    Q11323
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C8.S1.XMD2.m1qdec
    0 references
     
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