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difference equation


A relAtion between consecutive elements of A sequence. The first difference is D u(n) = u(n+1) - u(n) where u(n) is the nth element of sequence u. The second difference is D2 u(n) = D (D u(n)) = (u(n+2) - u(n+1)) - (u(n+1) - u(n)) = u(n+2) - 2u(n+1) + u(n) And so on. A recurrence relAtion such As u(n+2) + A u(n+1) + b u(n) = 0 cAn be converted to A difference equAtion (in this cAse, A second order lineAr difference equAtion): D2 u(n) + p D u(n) + q u(n) = 0 And vice versA. A, b, p, q Are constAnts. (1995-02-10)

Align="left">In Addition suitAble contents:
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