Periodic multivariate formal power series

DOI10.1016/j.laa.2022.10.017zbMath1499.13066arXiv2206.05525OpenAlexW4306804066MaRDI QIDQ2100072

Xue Zhang

Publication date: 21 November 2022

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.05525

zbMATH Keywords

conjugacyperiodformal power seriesrecursive relation

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Formal power series rings (13F25) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07) Numerical aspects of recurrence relations (65Q30)

Uses Software

• OEIS

Cites Work

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• Inversion problem, Legendre transform and inviscid Burgers equations
• Unique summing of formal power series solutions to advanced and delayed differential equations
• Composition of involutive power series, and reversible series.
• A combinatorial proof of the multivariable Lagrange inversion formula
• Une nouvelle demonstration combinatoire des formules d'inversion de Lagrange
• Formal power series and some theorems of J. F. Ritt in arbitrary characteristic
• Polynomial automorphisms and the Jacobian conjecture
• Incidence algebra antipodes and Lagrange inversion in one and several variables
• Nilpotent symmetric Jacobian matrices and the Jacobian conjecture
• Faà di Bruno's formula and inversion of power series
• On formal Laurent series
• The elements of finite order in the Riordan group over the complex field
• Power series in one variable
• Reversibility in Dynamics and Group Theory
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• A Noncommutative Generalization and q-Analog of the Lagrange Inversion Formula
• Polynomial Automorphisms and the Jacobian Conjecture
• Functional Composition Patterns and Power Series Reversion