e-mail: smirnov@nucl-th.npi.msu.su

**Finate Difference Equations and Factorization Method**

**Abstract**

The factorization method, suggested by E. Schroedinger for the the solution
of second order differential equations, is applied to the finite difference
equations of hypergeometric type on the nonuniform lattice. It is shown
that the method of the solution of these equations developed by Nikiforov,
Suslov and Uvarov is equivalent to the factorization method. The possibility
to apply a similar approach to the finite difference equations depending
on two discrete variables is discussed. As an example the particular 7-term
finite difference equation with a hidden *SU(3) *algebra is given.
It has the factorized solution in a form of the product of the two Hahn
polynomials.

See also latex, dvi, ps, pdf files of this abstract.