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Asymptotic expansions for second-order linear difference equations. (English) Zbl 0758.39005
Using the method of successive approximations, asymptotic formal series solutions of the linear second-order difference equation x n+2 +a n x n+1 +b n x n =0, where a n and b n have asymptotic expansions of the form a n Σ((c i /n i ); i=0,,) and b n Σ((d i /n i ;i=0,,), for large values of n, and d 0 0, are obtained.
Reviewer: H.Länger (Wien)

MSC:
39A10Additive difference equations