DLMF:1.15.E50 (Q592): Difference between revisions

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

Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

\EulerGamma@{\NVar{z}}
Property / Symbols used: gamma function / qualifier
 
xml-id: C5.S2.E1.m2aadec
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.m5abdec
Property / Symbols used
 
Property / Symbols used: Q10756 / rank
 
Normal rank
Property / Symbols used: Q10756 / qualifier
 
test:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q10756 / qualifier
 
xml-id: C1.S1.XMD4.m1ddec
Property / Symbols used
 
Property / Symbols used: fractional integral (locally) / rank
 
Normal rank
Property / Symbols used: fractional integral (locally) / qualifier
 
test:

I α superscript 𝐼 𝛼 {\displaystyle{\displaystyle I^{\alpha}}}

I^{\alpha}
Property / Symbols used: fractional integral (locally) / qualifier
 
xml-id: C1.S15.XMD12.m1bdec

Latest revision as of 15:33, 1 January 2020

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DLMF:1.15.E50
No description defined

    Statements

    test
    I α ⁢ f ⁢ ( x ) = ∑ k = 0 ∞ k ! Γ ⁡ ( k + α + 1 ) ⁢ a k ⁢ x k + α . superscript 𝐼 𝛼 𝑓 𝑥 subscript superscript 𝑘 0 𝑘 Euler-Gamma 𝑘 𝛼 1 subscript 𝑎 𝑘 superscript 𝑥 𝑘 𝛼 {\displaystyle{\displaystyle I^{\alpha}f(x)=\sum^{\infty}_{k=0}\frac{k!}{% \Gamma\left(k+\alpha+1\right)}a_{k}x^{k+\alpha}.}}
    0 references
    DLMF id
    DLMF:1.15.E50
    0 references
    Symbols used
    gamma function
    test
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2aadec
    0 references
    Q10755
    test
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5abdec
    0 references
    Q10756
    test
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C1.S1.XMD4.m1ddec
    0 references
    fractional integral (locally)
    test
    I α superscript 𝐼 𝛼 {\displaystyle{\displaystyle I^{\alpha}}}
    xml-id
    C1.S15.XMD12.m1bdec
    0 references
     
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