Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gautchi's ratio and the Volume of the unit ball in R^n   Let Omega(n) be the volume of the unit ball in R^n. We formulate as an
infinite product the gamma function ratio gamma(x+1/2)/gamma(x),x>0, which
allows us to reproduce and /or produce a variety of formulas and inequalities,
some of them seemingly new, concerning Omega(n-1)/Omega(n),and
(Omega(n))^2/Omega(n-1)Omega(n+1)

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The categories of this paper are: hep-ex
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The categories of this paper are: econ
13
The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
1
The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas