Is $$f(x)=\Gamma(x)^{\Gamma(x)},\quad x>0$$ a convex function.
In my attempt to solve this problem I tried to use the fact that Gamma is a convex function when x>0, I could not complete the proof.
Question is given by Jalil Hajimir.
2026-03-29 23:58:46.1774828726
Is $f(x)=\Gamma(x)^{\Gamma(x)},\quad x>0$ a convex function.
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