Some invariants for κth-order Lyness equation
2004
Abstract We present the second and third invariants for the k th -order Lyness equation, x n +1 = a + x n + x n−1 + … + x n−κ + 2/x n−κ+1 , n = 0, 1, , 1 where the parameter a is an arbitrary positive number. These invariants are functionally independent.
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