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Solving recurrence relations in two variables


DiscreteMath`RSolve` solves univariate recurrence relations.
Is there anything equivalent for bivariate recurrence relations?
For example, is there a Mathematica package that can deduce
from the equations

f[n,k] == f[n-1,k] + f[n-1,k-1]
f[0,0] == 0

that f[n,k] -> Binomial[n,k] , for 0<=k<=n ?


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