Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Expansions of the solutions of the general Heun equation in terms of the
  incomplete Beta functions   Applying the approach based on the equation for the derivative, we construct
several expansions of the solutions of the general Heun equation in terms of
the incomplete Beta functions. Several expansions in terms of the Appell
generalized hypergeometric functions of two variables of the fist kind are also
presented. The constructed expansions are applicable for arbitrary sets of the
involved parameters. The coefficients of the expansions obey four-, five- or
six-term recurrence relations. However, there exist several sets of the
parameters for which the recurrence relations involve fewer terms, not
necessarily successive. The conditions for deriving finite-sum solutions via
termination of the series are discussed.

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The categories of this paper are: quant-ph
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol