Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Incomplete beta-function expansions of the solutions to the confluent
  Heun equation   Several expansions of the solutions to the confluent Heun equation in terms
of incomplete Beta functions are constructed. A new type of expansion involving
certain combinations of the incomplete Beta functions as expansion functions is
introduced. The necessary and sufficient conditions when the derived expansions
are terminated, thus generating closed-form solutions, are discussed. It is
shown that termination of a Beta-function series solution always leads to a
solution that is necessarily an elementary function.

5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org