Loggamma
From specialfunctionswiki
The loggamma function $\log \Gamma$ is defined by the principal branch of $$\log \Gamma(z)=\log(\Gamma(z)),$$ where $\log$ denotes the logarithm and $\Gamma$ denotes the gamma function.
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Graph of $\log \Gamma$.
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Domain coloring of $\log \Gamma$.