A Determinant Identity Implying the Lagrange–Good Inversion Formula

DOI10.1017/S0013091516000031zbMath1360.05008MaRDI QIDQ2976357

Jianfeng Huang, Xin Rong Ma

Publication date: 28 April 2017

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

inversion formulamatrix inversionformal power seriesLagrange-Bürmann formulaformal derivativeLagrange-Good formula

Mathematics Subject Classification ID

Factorization of matrices (15A23) Exact enumeration problems, generating functions (05A15)

Cites Work

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• Multifold analogues of Gould-Hsu inversions and their applications
• A combinatorial proof of the multivariable Lagrange inversion formula
• On elementary calculus and the Good formula
• A short proof of the Lagrange-Good formula
• A new multidimensional matrix inverse with applications to multiple \(q\)-series
• Multivariable Lagrange inversion, Gessel-Viennot cancellation, and the matrix tree theorem
• Incidence algebra antipodes and Lagrange inversion in one and several variables
• Lagrange inversion for species
• A new matrix inverse
• The β‐Extension of the Multivariable Lagrange Inversion Formula

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