Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: All order epsilon-expansion of Gauss hypergeometric functions with
  integer and half/integer values of parameters   It is proved that the Laurent expansion of the following Gauss hypergeometric
functions,
  2F1(I1+a*epsilon, I2+b*ep; I3+c*epsilon;z),
  2F1(I1+a*epsilon, I2+b*epsilon;I3+1/2+c*epsilon;z),
  2F1(I1+1/2+a*epsilon, I2+b*epsilon; I3+c*epsilon;z),
  2F1(I1+1/2+a*epsilon, I2+b*epsilon; I3+1/2+c*epsilon;z),
  2F1(I1+1/2+a*epsilon,I2+1/2+b*epsilon; I3+1/2+c*epsilon;z), where I1,I2,I3
are an arbitrary integer nonnegative numbers, a,b,c are an arbitrary numbers
and epsilon is an arbitrary small parameters, are expressible in terms of the
harmonic polylogarithms of Remiddi and Vermaseren with polynomial coefficients.
An efficient algorithm for the calculation of the higher-order coefficients of
Laurent expansion is constructed. Some particular cases of Gauss hypergeometric
functions are also discussed.

16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph