Having re-invented the Barclay's and Maxwell's classification [9] of
translationally shape-invariant potentials in two classes (called
here ``categories", cf. definitions (86) and (88), respectively) and
using the Gendenshtein's choice of variables [2], the authors
complete the Kazimierz's project [8] and derive semi-explicit
formulae for eigenfunctions [see eqs. (117) and (129)]. The idea is
to expand their logarithmic derivatives (called here RS functions)
into (terminating) continued fractions.

MR2657537 Grandati, Y.; Bérard, A. Rational solutions for the
Riccati-Schrödinger equations associated to translationally shape
invariant potentials. Ann. Physics 325 (2010), no. 6, 1235--1259.
81Q60 (81Q80)