Application of Faà di Bruno's formula in characterization of inverse relations

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摘要

It is shown that a pair of inverse relations can be constructed by the suitable application of Faà di Bruno's formula for finding higher order derivatives of composite functions. Various examples illustrating the applications of inverse relations are presented.

论文关键词：05A10,05A19,11B73,11B83,12B99,Faà di Bruno's formula,Formal power series,Inverse relations,Pair of inverse identities

论文评审过程：Received 30 August 2004, Available online 1 July 2005.

论文官网地址：https://doi.org/10.1016/j.cam.2004.12.041