DLMF:8.10.E2 (Q2555): 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.E1.m2adec
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.m1adec
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.m1adec

Latest revision as of 12:51, 2 January 2020

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DLMF:8.10.E2
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    Statements

    γ ( a , x ) x a - 1 a ( 1 - e - x ) , incomplete-gamma 𝑎 𝑥 superscript 𝑥 𝑎 1 𝑎 1 superscript 𝑒 𝑥 {\displaystyle{\displaystyle\gamma\left(a,x\right)\geq\frac{x^{a-1}}{a}(1-e^{-% x}),}}
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    0 < a 1 0 𝑎 1 {\displaystyle{\displaystyle 0<a\leq 1}}
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    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2aadec
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    γ ( a , z ) incomplete-gamma 𝑎 𝑧 {\displaystyle{\displaystyle\gamma\left(\NVar{a},\NVar{z}\right)}}
    C8.S2.E1.m2adec
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    x 𝑥 {\displaystyle{\displaystyle x}}
    C8.S1.XMD1.m1adec
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    a 𝑎 {\displaystyle{\displaystyle a}}
    C8.S1.XMD3.m1adec
    0 references