DLMF:8.15.E1 (Q2640): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
test:

! {\displaystyle{\displaystyle!}}

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5adec
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.m1dec
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.m1dec
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.m1dec

Latest revision as of 13:01, 2 January 2020

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DLMF:8.15.E1
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    Statements

    γ ( a , λ x ) = λ a k = 0 γ ( a + k , x ) ( 1 - λ ) k k ! . incomplete-gamma 𝑎 𝜆 𝑥 superscript 𝜆 𝑎 superscript subscript 𝑘 0 incomplete-gamma 𝑎 𝑘 𝑥 superscript 1 𝜆 𝑘 𝑘 {\displaystyle{\displaystyle\gamma\left(a,\lambda x\right)=\lambda^{a}\sum_{k=% 0}^{\infty}\gamma\left(a+k,x\right)\frac{(1-\lambda)^{k}}{k!}.}}
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    ! {\displaystyle{\displaystyle!}}
    introduction.Sx4.p1.t1.r15.m5adec
    0 references
    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.m1dec
    0 references
    a 𝑎 {\displaystyle{\displaystyle a}}
    C8.S1.XMD3.m1dec
    0 references
    k 𝑘 {\displaystyle{\displaystyle k}}
    C8.S1.XMD5.m1dec
    0 references