By using the piecewise method, Lagrange interpolation formula and Lucas' theorem, we determine explicit expressions of the inverses of a class of reversed Dickson permutation polynomials and some classes of generalized cyclotomic mapping permutation polynomials over finite fields of characteristic three.

中文翻译：

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特征3的有限域上一些置换多项式的逆。

通过使用分段方法，拉格朗日插值公式和卢卡斯定理，我们确定了特征3的有限域上一类逆Dickson置换多项式和某些类别的广义环原子映射置换多项式的逆的显式。