DLMF:5.9.E19 (Q2108): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
Property / constraint
 

z > 0 𝑧 0 {\displaystyle{\displaystyle\Re z>0}}

\Re z>0
Property / constraint: z > 0 𝑧 0 {\displaystyle{\displaystyle\Re z>0}} / rank
 
Normal rank

Revision as of 17:05, 30 December 2019

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DLMF:5.9.E19
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    Statements

    Γ ( n ) ( z ) = 0 ( ln t ) n e - t t z - 1 d t , Euler-Gamma 𝑛 𝑧 superscript subscript 0 superscript 𝑡 𝑛 superscript 𝑒 𝑡 superscript 𝑡 𝑧 1 𝑡 {\displaystyle{\displaystyle{\Gamma^{(n)}}\left(z\right)=\int_{0}^{\infty}(\ln t% )^{n}e^{-t}t^{z-1}\mathrm{d}t,}}
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    DLMF:5.9.E19
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    z > 0 𝑧 0 {\displaystyle{\displaystyle\Re z>0}}
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    n 0 𝑛 0 {\displaystyle{\displaystyle n\geq 0}}
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    z > 0 𝑧 0 {\displaystyle{\displaystyle\Re z>0}}
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