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Hi, do you have some sort of a bibliography on advanced techniques in recurrence equations, such as nonlinear ones and others?

As I see it recurrence equations are quite similar to differential equations.

Obviously we can go from ODE to a recurrence relation by plugging suitable power series solution to the ODE, but can I also reverse this proccess; i.e, have a recurrence relation and then find a suitable ODE for this relation, is this always the case?

Thanks in advance, Alan.

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There's a rather old book by Levy and Lessman, Finite Difference Equations.

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Thanks, I'll check it. – Alan Mar 19 '13 at 8:05

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