DLMF:8.8.E15 (Q2547): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: incomplete gamma function / rank
 
Normal rank
Property / Symbols used: incomplete gamma function / qualifier
 
Defining formula:

γ ⁡ ( a , z ) incomplete-gamma 𝑎 𝑧 {\displaystyle{\displaystyle\gamma\left(\NVar{a},\NVar{z}\right)}}

\incgamma@{\NVar{a}}{\NVar{z}}
Property / Symbols used: incomplete gamma function / qualifier
 
xml-id: C8.S2.E1.m2addec

Revision as of 13:49, 2 January 2020

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DLMF:8.8.E15
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    Statements

    Defining formula
    d n d z n ⁡ ( z - a ⁢ γ ⁡ ( a , z ) ) = ( - 1 ) n ⁢ z - a - n ⁢ γ ⁡ ( a + n , z ) , derivative 𝑧 𝑛 superscript 𝑧 𝑎 incomplete-gamma 𝑎 𝑧 superscript 1 𝑛 superscript 𝑧 𝑎 𝑛 incomplete-gamma 𝑎 𝑛 𝑧 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{n}}{{\mathrm{d}z}^{n}}(z^{-a}% \gamma\left(a,z\right))=(-1)^{n}z^{-a-n}\gamma\left(a+n,z\right),}}
    0 references
    DLMF id
    DLMF:8.8.E15
    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
    0 references
    incomplete gamma function
    Defining formula
    γ ⁡ ( a , z ) incomplete-gamma 𝑎 𝑧 {\displaystyle{\displaystyle\gamma\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C8.S2.E1.m2addec
    0 references
     
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