M-hypergeometric solutions of anti-difference and q-anti-difference equations

الملخص EN

In Koepf (1995), Koepf presents an algorithm to find an m -hypergeometric solution s of where an is a given m -hypergeometric term.

We give a q -analogue of that algorithm.

Also we generalize Koepf's algorithm to find m -hypergeometric solutions of linear recurrence equations without any restriction on the coefficients.

Then we solve the same problem for linear q -recurrence equations.