Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-24T13:42:45.990Z Has data issue: false hasContentIssue false
  • English
  • Français

A Determinant Identity Implying the Lagrange–Good Inversion Formula

Part of: Combinatorics Basic linear algebra

Published online by Cambridge University Press:  13 June 2016

Jianfeng Huang  and
Xinrong Ma
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])
Get access Rights & Permissions [Opens in a new window]

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.

Keywords

Lagrange–BürmannLagrange–Goodinversion formulamatrix inversionformal derivativeformal power series

MSC classification

Secondary: 05A15: Exact enumeration problems, generating functions 15A23: Factorization of matrices
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 60 , Issue 1 , February 2017 , pp. 165 - 176
Copyright
Copyright © Edinburgh Mathematical Society 2016 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)