Riordan阵列的迭代过程:幂级数的倒数与反演
Iterative Processes Related to Riordan Arrays: The Reciprocation and the Inversion of Power Series
摘要:
指出了Banach不动点定理及其导出的Picard逐次逼近方法如何使我们能够处理组合数学中的一些数学方法。特别地,我们得到了拉格朗日反演公式的一个证明和一个迭代算法。
英文摘要:
We point out how Banach Fixed Point Theorem, and the Picard successive approximation methods induced by it, allows us to treat some mathematical methods in Combinatorics. In particular we get, by this way, a proof and an iterative algorithm for the Lagrange Inversion Formula.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。