Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shape invariance, raising and lowering operators in hypergeometric type
  equations   The Schr\" odinger equations which are exactly solvable in terms of
associated special functions are directly related to some self-adjoint
operators defined in the theory of hypergeometric type equations. The
fundamental formulae occurring in a supersymmetric approach to these
Hamiltonians are consequences of some formulae concerning the general theory of
associated special functions. We use this connection in order to obtain a
general theory of Schr\" odinger equations exactly solvable in terms of
associated special functions, and to extend certain results known in the case
of some particular potentials.

30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph