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arxiv: 1001.1496 · v1 · pith:YQFXPN2Unew · submitted 2010-01-10 · 🧮 math.CA

Two monotonic functions involving gamma function and volume of unit ball

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keywords gammaballfunctionfunctionsinvolvingmathbbunitvolume
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In present paper, we prove the monotonicity of two functions involving the gamma function $\Gamma(x)$ and relating to the $n$-dimensional volume of the unit ball $\mathbb{B}^n$ in $\mathbb{R}^n$.

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