Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the evaluation of some Selberg-like integrals   Several methods of evaluation are presented for a family of Selberg-like
integrals that arose in the computation of the algebraic-geometric degrees of a
family of multiplicity-free nilpotent K_C-orbits. First, adapting the technique
of Nishiyama, Ochiai and Zhu, we present an explicit evaluation in terms of
certain iterated sums over permutations groups. Secondly, using the theory of
symmetric functions we obtain an evaluation as a product of polynomial of fixed
degree times a particular product of gamma factors (thereby identifying the
asymptotics of the integrals with respect to their parameters). Lastly, we
derive a recursive formula for evaluation of another general class of
Selberg-like integrals, by applying some of the technology of generalized
hypergeometric functions.

14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
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The categories of this paper are: eess
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn