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- W2912421211 abstract "Let $$Omega _{n}=pi ^{n/2}/Gamma (frac{n}{2}+1) , (n in mathbb {N})$$ denote the volume of the unit ball in $$mathbb {R}^{n}$$ . In this paper, we present asymptotic expansions and inequalities related to $$Omega _{n}$$ and the quantities: $$begin{aligned} frac{Omega _{n-1}}{Omega _{n}}, quad frac{Omega _{n}}{Omega _{n-1}+Omega _{n+1}} quad text {and}quad frac{Omega _n^{1/n}}{Omega _{n+1}^{1/(n+1)}}. end{aligned}$$" @default.
- W2912421211 created "2019-02-21" @default.
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- W2912421211 date "2019-01-31" @default.
- W2912421211 modified "2023-09-25" @default.
- W2912421211 title "Inequalities and Asymptotic Expansions Related to the Volume of the Unit Ball in $$pmb {mathbb {R}}^{{{varvec{n}}}}$$ R n" @default.
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- W2912421211 doi "https://doi.org/10.1007/s00025-019-0967-1" @default.
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