DLMF:5.11.E10 (Q2132): Difference between revisions

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Property / constraint
 

K = 1 , 2 , 3 , 𝐾 1 2 3 {\displaystyle{\displaystyle K=1,2,3,\dots}}

K=1,2,3,\dots
Property / constraint: K = 1 , 2 , 3 , 𝐾 1 2 3 {\displaystyle{\displaystyle K=1,2,3,\dots}} / rank
 
Normal rank

Revision as of 16:05, 30 December 2019

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DLMF:5.11.E10
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    Γ ( z ) = e - z z z ( 2 π z ) 1 / 2 ( k = 0 K - 1 g k z k + R K ( z ) ) , Euler-Gamma 𝑧 superscript 𝑒 𝑧 superscript 𝑧 𝑧 superscript 2 𝜋 𝑧 1 2 superscript subscript 𝑘 0 𝐾 1 subscript 𝑔 𝑘 superscript 𝑧 𝑘 subscript 𝑅 𝐾 𝑧 {\displaystyle{\displaystyle\Gamma\left(z\right)=e^{-z}z^{z}\left(\frac{2\pi}{% z}\right)^{1/2}\left(\sum_{k=0}^{K-1}\frac{g_{k}}{z^{k}}+R_{K}(z)\right),}}
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    K = 1 , 2 , 3 , 𝐾 1 2 3 {\displaystyle{\displaystyle K=1,2,3,\dots}}
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