Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The connection problem associated with a Selberg type integral and the
  $q$-Racah polynomials   The connection problem associated with a Selberg type integral is solved. The
connection coefficients are given in terms of the $q$-Racah polynomials. As an
application of the explicit expression of the connection coefficients, examples
of the monodromy-invariant Hermitian form of non-diagonal type are presented.
It is noteworthy that such Hermitian forms are intimately related with the
correlation functions of non-diagonal type in $\hat{sl_2}$-confromal field
theory.

24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph