DLMF:8.2.E6 (Q2486): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11325 / rank
 
Normal rank
Property / Symbols used: Q11325 / qualifier
 
Defining formula:

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

\normincGammaP@{\NVar{a}}{\NVar{z}}
Property / Symbols used: Q11325 / qualifier
 
xml-id: C8.S2.E4.m1abdec

Revision as of 13:36, 2 January 2020

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DLMF:8.2.E6
No description defined

    Statements

    Defining formula
    γ * ⁡ ( a , z ) = z - a ⁢ P ⁡ ( a , z ) = z - a Γ ⁡ ( a ) ⁢ γ ⁡ ( a , z ) . incomplete-gamma-star 𝑎 𝑧 superscript 𝑧 𝑎 incomplete-gamma-P 𝑎 𝑧 superscript 𝑧 𝑎 Euler-Gamma 𝑎 incomplete-gamma 𝑎 𝑧 {\displaystyle{\displaystyle\gamma^{*}\left(a,z\right)=z^{-a}P\left(a,z\right)% =\frac{z^{-a}}{\Gamma\left(a\right)}\gamma\left(a,z\right).}}
    0 references
    DLMF id
    DLMF:8.2.E6
    0 references
    Symbols used
    gamma function
    Defining formula
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2abdec
    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.m2acdec
    0 references
    Q11325
    Defining formula
    P ⁡ ( a , z ) incomplete-gamma-P 𝑎 𝑧 {\displaystyle{\displaystyle P\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C8.S2.E4.m1abdec
    0 references
     
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