DLMF:8.8.E2 (Q2534): 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.E2.m2adec

Revision as of 13:46, 2 January 2020

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DLMF:8.8.E2
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    Statements

    Defining formula
    Γ ⁡ ( a + 1 , z ) = a ⁢ Γ ⁡ ( a , z ) + z a ⁢ e - z . incomplete-Gamma 𝑎 1 𝑧 𝑎 incomplete-Gamma 𝑎 𝑧 superscript 𝑧 𝑎 superscript 𝑒 𝑧 {\displaystyle{\displaystyle\Gamma\left(a+1,z\right)=a\Gamma\left(a,z\right)+z% ^{a}e^{-z}.}}
    0 references
    DLMF id
    DLMF:8.8.E2
    0 references
    Symbols used
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.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.E2.m2adec
    0 references
     
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