DLMF:8.10.E3 (Q2556): 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 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.m2aadec
Property / Symbols used
 
Property / Symbols used: Q11332 / rank
 
Normal rank
Property / Symbols used: Q11332 / qualifier
 
test:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11332 / qualifier
 
xml-id: C8.S1.XMD1.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11324 / rank
 
Normal rank
Property / Symbols used: Q11324 / qualifier
 
test:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q11324 / qualifier
 
xml-id: C8.S1.XMD3.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11335 / rank
 
Normal rank
Property / Symbols used: Q11335 / qualifier
 
test:

ϑ italic-ϑ {\displaystyle{\displaystyle\vartheta}}

\vartheta
Property / Symbols used: Q11335 / qualifier
 
xml-id: C8.S10.XMD1.m1dec

Latest revision as of 12:51, 2 January 2020

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DLMF:8.10.E3
No description defined

    Statements

    x 1 - a e x Γ ( a , x ) = 1 + a - 1 x ϑ , superscript 𝑥 1 𝑎 superscript 𝑒 𝑥 incomplete-Gamma 𝑎 𝑥 1 𝑎 1 𝑥 italic-ϑ {\displaystyle{\displaystyle x^{1-a}e^{x}\Gamma\left(a,x\right)=1+\frac{a-1}{x% }\vartheta,}}
    0 references
    0 references
    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2abdec
    0 references
    Γ ( a , z ) incomplete-Gamma 𝑎 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{a},\NVar{z}\right)}}
    C8.S2.E2.m2aadec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C8.S1.XMD1.m1bdec
    0 references
    a 𝑎 {\displaystyle{\displaystyle a}}
    C8.S1.XMD3.m1bdec
    0 references
    ϑ italic-ϑ {\displaystyle{\displaystyle\vartheta}}
    C8.S10.XMD1.m1dec
    0 references