Two monotonic functions involving gamma function and volume of unit ball

Details Two monotonic functions involving gamma function and volume of unit ball Two monotonic functions involving gamma function and volume of unit ball

2010-01-10

arxiv.org/abs/1001.1496v1

Mathematics

Classical Analysis and ODEs

7 pages

Scientific paper

10.1080/10652469.2011.627511

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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