Question: solve a recursive equation in 2 variables

Hi Maplers: I'm probably spoiled, but maybe Maple can actually solve the following type of problem and I just haven't figured out how. Solve a recursion equation in two variables: f(m+1,n+1) = some expression involving combinations of f(m,n) etc. I am impressed with "rsolve" that magically finds solutions to f(m+1)=... i.e. a single variable. With great effort I have managed to figure out my 2-variable problem using generating function techniques, but perhaps Maple can do the whole thing in one great big single step. Does anyone know if such a thing exists? I can't find anything in the Help. Thanks Mike
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