Abstract
Let Ωn=πn/2/Γ(n2+1)(n∈N)Ωn=πn/2/Γ(n2+1)(n∈N) denote the volume of the unit ball in RnRn. In this paper, we present asymptotic expansions and inequalities related to ΩnΩn and the quantities:
Ωn−1Ωn,ΩnΩn−1+Ωn+1andΩ1/nnΩ1/(n+1)n+1.Original language | English |
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Article number | 44 |
Number of pages | 28 |
Journal | Results in Mathematics |
Volume | 74 |
Issue number | 1 |
Early online date | 31 Jan 2019 |
DOIs | |
Publication status | Published - 1 Mar 2019 |
Keywords
- Volume of the unit n-dimensional ball
- Gamma function
- Asymptotic expansions
- Inequalities