DLMF:8.11.E2 (Q2573): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11330 / rank
 
Normal rank
Property / Symbols used: Q11330 / qualifier
 
test:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q11330 / qualifier
 
xml-id: C8.S1.XMD5.m1adec
Property / Symbols used
 
Property / Symbols used: Q11329 / rank
 
Normal rank
Property / Symbols used: Q11329 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11329 / qualifier
 
xml-id: C8.S1.XMD6.m1dec
Property / Symbols used
 
Property / Symbols used: DLMF:8.11.E1 / rank
 
Normal rank
Property / Symbols used: DLMF:8.11.E1 / qualifier
 
test:

u k subscript 𝑢 𝑘 {\displaystyle{\displaystyle u_{k}}}

u_{k}
Property / Symbols used: DLMF:8.11.E1 / qualifier
 
xml-id: C8.S11.XMD1.m1adec
Property / Symbols used
 
Property / Symbols used: Q11342 / rank
 
Normal rank
Property / Symbols used: Q11342 / qualifier
 
test:

R n ⁢ ( a , z ) subscript 𝑅 𝑛 𝑎 𝑧 {\displaystyle{\displaystyle R_{n}(a,z)}}

R_{n}(a,z)
Property / Symbols used: Q11342 / qualifier
 
xml-id: C8.S11.XMD2.m1dec

Latest revision as of 12:52, 2 January 2020

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DLMF:8.11.E2
No description defined

    Statements

    test
    Γ ⁡ ( a , z ) = z a - 1 ⁢ e - z ⁢ ( ∑ k = 0 n - 1 u k z k + R n ⁢ ( a , z ) ) , incomplete-Gamma 𝑎 𝑧 superscript 𝑧 𝑎 1 superscript 𝑒 𝑧 superscript subscript 𝑘 0 𝑛 1 subscript 𝑢 𝑘 superscript 𝑧 𝑘 subscript 𝑅 𝑛 𝑎 𝑧 {\displaystyle{\displaystyle\Gamma\left(a,z\right)=z^{a-1}e^{-z}\left(\sum_{k=% 0}^{n-1}\frac{u_{k}}{z^{k}}+R_{n}(a,z)\right),}}
    0 references
    DLMF id
    DLMF:8.11.E2
    0 references
    constraint
    n = 1 , 2 , … 𝑛 1 2 … {\displaystyle{\displaystyle n=1,2,\dots}}
    0 references
    Symbols used
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
    0 references
    incomplete gamma function
    test
    Γ ⁡ ( a , z ) incomplete-Gamma 𝑎 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C8.S2.E2.m2adec
    0 references
    Q11323
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C8.S1.XMD2.m1dec
    0 references
    Q11324
    test
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C8.S1.XMD3.m1adec
    0 references
    Q11330
    test
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C8.S1.XMD5.m1adec
    0 references
    Q11329
    test
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C8.S1.XMD6.m1dec
    0 references
    DLMF:8.11.E1
    test
    u k subscript 𝑢 𝑘 {\displaystyle{\displaystyle u_{k}}}
    xml-id
    C8.S11.XMD1.m1adec
    0 references
    Q11342
    test
    R n ⁢ ( a , z ) subscript 𝑅 𝑛 𝑎 𝑧 {\displaystyle{\displaystyle R_{n}(a,z)}}
    xml-id
    C8.S11.XMD2.m1dec
    0 references
     
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