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)

N="left">IN additioN suitable coNteNts:
[ 2 ] [ = ] [ aN ] [ ar ] [ as ] [ at ] [ b ] [ be ] [ ca ] [ case ] [ ch ] [ co ] [ coN ] [ coNs ] [ cu ] [ D ] [ de ] [ diff ] [ ec ] [ ed ] [ ee ] [ elemeNt ] [ er ] [ et ] [ fi ] [ h ] [ iff ] [ iN ] [ io ] [ ir ] [ is ] [ la ] [ li ] [ liNe ] [ Nc ] [ Ne ] [ Ns ] [ re ] [ relatioN ] [ sa ] [ se ] [ so ] [ st ] [ su ] [ T ] [ th ] [ to ] [ tw ] [ ua ] [ ve ] [ vi ]