DLMF:10.46.E3 (Q3668): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11428 / rank
 
Normal rank
Property / Symbols used: Q11428 / qualifier
 
test:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q11428 / qualifier
 
xml-id: C10.S1.XMD3.m1adec
Property / Symbols used
 
Property / Symbols used: Q11426 / rank
 
Normal rank
Property / Symbols used: Q11426 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11426 / qualifier
 
xml-id: C10.S1.XMD6.m1bdec

Latest revision as of 13:07, 2 January 2020

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DLMF:10.46.E3
No description defined

    Statements

    test
    E a , b ⁡ ( z ) = ∑ k = 0 ∞ z k Γ ⁡ ( a ⁢ k + b ) , Mittag-Leffler-function 𝑎 𝑏 𝑧 superscript subscript 𝑘 0 superscript 𝑧 𝑘 Euler-Gamma 𝑎 𝑘 𝑏 {\displaystyle{\displaystyle E_{a,b}\left(z\right)=\sum_{k=0}^{\infty}\frac{z^% {k}}{\Gamma\left(ak+b\right)},}}
    0 references
    DLMF id
    DLMF:10.46.E3
    0 references
    constraint
    a > 0 𝑎 0 {\displaystyle{\displaystyle a>0}}
    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
    Q11428
    test
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C10.S1.XMD3.m1adec
    0 references
    Q11426
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C10.S1.XMD6.m1bdec
    0 references
     
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