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A Determinant Identity Implying the Lagrange–Good Inversion Formula

Published online by Cambridge University Press:  13 June 2016

Jianfeng Huang
Affiliation:
Department of Mathematics, Soochow University, SuZhou 215006, People's Republic of China ([email protected])
Xinrong Ma
Affiliation:
Department of Mathematics, Soochow University, SuZhou 215006, People's Republic of China ([email protected])

Abstract

In this paper a determinant identity is established, from which a simple proof of the multivariate Lagrange–Good inversion formula follows directly. Further discussion on a discrete analogue of the Lagrange–Good inversion formula is also presented.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2016 

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