DLMF:5.9.E4 (Q2093): Difference between revisions

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Property / constraint
 

z 0 , - 1 , - 2 , 𝑧 0 1 2 {\displaystyle{\displaystyle z\neq 0,-1,-2,\dots}}

z\neq 0,-1,-2,\dots
Property / constraint: z 0 , - 1 , - 2 , 𝑧 0 1 2 {\displaystyle{\displaystyle z\neq 0,-1,-2,\dots}} / rank
 
Normal rank

Revision as of 16:04, 30 December 2019

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DLMF:5.9.E4
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    Γ ( z ) = 1 t z - 1 e - t d t + k = 0 ( - 1 ) k ( z + k ) k ! , Euler-Gamma 𝑧 superscript subscript 1 superscript 𝑡 𝑧 1 superscript 𝑒 𝑡 𝑡 superscript subscript 𝑘 0 superscript 1 𝑘 𝑧 𝑘 𝑘 {\displaystyle{\displaystyle\Gamma\left(z\right)=\int_{1}^{\infty}t^{z-1}e^{-t% }\mathrm{d}t+\sum_{k=0}^{\infty}\frac{(-1)^{k}}{(z+k)k!},}}
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    z 0 , - 1 , - 2 , 𝑧 0 1 2 {\displaystyle{\displaystyle z\neq 0,-1,-2,\dots}}
    0 references