An Inversion Formula for Multivariate Power Series
Algebraic Geometry
2012-03-20 v1
Authors:
Ural Bekbaev
Abstract
For formal multivariate power series φ(x) an inversion formula of the form φ−1(x)=x+m=1∑∞k=0∑m(−1)k(mk)φ∘k(x)isoffered.
Cite
@article{arxiv.1203.3834,
title = {An Inversion Formula for Multivariate Power Series},
author = {Ural Bekbaev},
journal= {arXiv preprint arXiv:1203.3834},
year = {2012}
}
Related papers
View all related →
Group Theory · Mathematics
Periodic multivariate formal power series
Xue Zhang
2022-11-29
Combinatorics · Mathematics
Lagrange Inversion
Ira M. Gessel
2016-09-21
Mathematical Physics · Physics
A Note on a Generalization of Sherman-Morrison-Woodbury formula
Milan Batista
2018-04-03
Combinatorics · Mathematics
Logarithmic form of Lagrange inversion formula
A. S. Dzhumadil'daev
2016-02-12
Symbolic Computation · Computer Science
A fast algorithm for reversion of power series
Fredrik Johansson
2013-12-03
Commutative Algebra · Mathematics
A note on algorithmic approach to inverting multivariate formal power series
Elżbieta Adamus
2026-03-31
Classical Analysis and ODEs · Mathematics
The Fourier transform of multiradial functions
Frederic Bernicot, Loukas Grafakos, Yandan Zhang
2013-08-01
Classical Analysis and ODEs · Mathematics
On the convergence of exotic formal series solutions of an ODE. A proof by the implicit mapping theorem
Renat Gontsov, Irina Goryuchkina
2020-09-15
Combinatorics · Mathematics
Summation formulas for Fox-Wright function
Chuanan Wei, Lily Li Liu, Dianxuan Gong
2023-06-22
Functional Analysis · Mathematics
Inversion Formula for the Windowed Fourier Transform
Wenchang Sun
2011-09-21
Commutative Algebra · Mathematics
On composition of muiltivariable formal power series
Motaz Mokatren
2025-04-08
Probability · Mathematics
A strong invariance principle for nonconventional sums
Yuri Kifer
2013-02-21
Combinatorics · Mathematics
Some inversion formulas and formulas for Stirling numbers
Zhi-Hong Sun
2010-12-20
General Mathematics · Mathematics
Inversion Formula
Henrik Stenlund
2017-12-07
Numerical Analysis · Mathematics
Accuracy and stability of inversion of power series
Raymundo Navarrete, Divakar Viswanath
2014-08-12
Combinatorics · Mathematics
On a formula of the $q$-series $_{2k+4}\phi_{2k+3}$ and its applications
George E. Andrews, Mohamed El Bachraoui
2025-02-05
Probability · Mathematics
Inversion formula for infinitely divisible distributions
Evgeny Burnaev
2021-03-10
Classical Analysis and ODEs · Mathematics
On the change of variables formula for multiple integrals
Shibo Liu, Yashan Zhang
2017-05-17
Functional Analysis · Mathematics
Inversion of $\alpha$-sine and $\alpha$-cosine transforms on $\mathbb{R}$
Ly Viet Hoang, Evgeny Spodarev
2021-07-13
General Mathematics · Mathematics
A formula for inverse matrix
Alexander Roi Stoyanovsky
2019-10-03
Quantum Physics · Physics
An exact power series expansion for the Kallen-Sabry vacuum polarization potential
Antonio Ricardo Martines
2020-11-24
Functional Analysis · Mathematics
Calculus of Variations: A Differential Form Approach
Swarnendu Sil
2025-04-02
Numerical Analysis · Mathematics
Inverting the sum of two singular matrices
Sofia Eriksson, Jonas Nordqvist
2024-04-08
Functional Analysis · Mathematics
A generalisation of Mirsky's singular value inequalities
Koenraad M. R. Audenaert
2014-10-21
Number Theory · Mathematics
Extension of Summation Formulas involving Stirling series
Raphael Schumacher
2016-05-31