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讨论了函数Fα(X) 的各阶微商表示式,获得形式幂级数的一个性质,利用它导出一个已知的组合恒等式及其推广“,”In the paper, we obtain an expression of function f α (x) ’s arbitrary order derivative and a theorem on formol power series, and show a new proof of a known combinatorial identity and its generalized results.