DLMF:8.8.E4 (Q2536): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: incomplete gamma function / rank
 
Normal rank
Property / Symbols used: incomplete gamma function / qualifier
 
test:

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

\scincgamma@{\NVar{a}}{\NVar{z}}
Property / Symbols used: incomplete gamma function / qualifier
 
xml-id: C8.S2.E6.m2adec

Revision as of 12:47, 2 January 2020

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DLMF:8.8.E4
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    Statements

    test
    z ⁢ γ * ⁡ ( a + 1 , z ) = γ * ⁡ ( a , z ) - e - z Γ ⁡ ( a + 1 ) . 𝑧 incomplete-gamma-star 𝑎 1 𝑧 incomplete-gamma-star 𝑎 𝑧 superscript 𝑒 𝑧 Euler-Gamma 𝑎 1 {\displaystyle{\displaystyle z\gamma^{*}\left(a+1,z\right)=\gamma^{*}\left(a,z% \right)-\frac{e^{-z}}{\Gamma\left(a+1\right)}.}}
    0 references
    DLMF id
    DLMF:8.8.E4
    0 references
    Symbols used
    gamma function
    test
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2adec
    0 references
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2abdec
    0 references
    incomplete gamma function
    test
    γ * ⁡ ( a , z ) incomplete-gamma-star 𝑎 𝑧 {\displaystyle{\displaystyle\gamma^{*}\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C8.S2.E6.m2adec
    0 references
     
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