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Updated: November 8th, 2023 16:56

2022 book

Integration in Finite Terms: Fundamental Sources

Ed(s): C. Raab &

Source: Crossref

Added: November 8, 2023

2021 journal article

On differentially algebraic generating series for walks in the quarter plane

*SELECTA MATHEMATICA-NEW SERIES*, *27*(5).

co-author countries:
France 🇫🇷 United States of America 🇺🇸

Source: Web Of Science

Added: September 20, 2021

2021 article

On the Kernel Curves Associated with Walks in the Quarter Plane

*TRANSCENDENCE IN ALGEBRA, COMBINATORICS, GEOMETRY AND NUMBER THEORY, TRANS19*, Vol. 373, pp. 61–89.

co-author countries:
France 🇫🇷 United States of America 🇺🇸

author keywords: Random walks; Uniformization of algebraic curves

Source: Web Of Science

Added: May 31, 2022

2021 article

Sparse Interpolation in Terms of Multivariate Chebyshev Polynomials

Hubert, E., & Singer, M. F. (2021, September 9). *FOUNDATIONS OF COMPUTATIONAL MATHEMATICS*.

co-author countries:
France 🇫🇷 United States of America 🇺🇸

Source: Web Of Science

Added: September 20, 2021

2020 journal article

Some structural results on D-n-finite functions

*ADVANCES IN APPLIED MATHEMATICS*, *117*.

co-author countries:
Austria 🇦🇹 United States of America 🇺🇸

author keywords: Holonomic functions; Closure properties; Differential Galois theory; Algorithms

Source: Web Of Science

Added: April 27, 2020

2020 journal article

Walks in the quarter plane: Genus zero case

*JOURNAL OF COMBINATORIAL THEORY SERIES A*, *174*.

co-author countries:
France 🇫🇷 United States of America 🇺🇸

author keywords: Random walks; Difference Galois theory; q-Difference equations; Transcendence

Source: Web Of Science

Added: May 18, 2020

2019 journal article

Consistent systems of linear differential and difference equations

*JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY*, *21*(9), 2751–2792.

co-author countries:
France 🇫🇷 United States of America 🇺🇸

Source: Web Of Science

Added: August 5, 2019

2018 journal article

On the nature of the generating series of walks in the quarter plane

*INVENTIONES MATHEMATICAE*, *213*(1), 139–203.

co-author countries:
France 🇫🇷 United States of America 🇺🇸

Source: Web Of Science

Added: August 6, 2018

2017 journal article

Galois groups for integrable and projectively integrable linear difference equations

*JOURNAL OF ALGEBRA*, *480*, 423–449.

Source: Web Of Science

Added: August 6, 2018

2016 journal article

Desingularization of Ore operators

*JOURNAL OF SYMBOLIC COMPUTATION*, *74*, 617–626.

co-author countries:
Austria 🇦🇹 China 🇨🇳 United States of America 🇺🇸

author keywords: D-finite functions; Apparent singularities; Computer algebra; Ore operators

Source: Web Of Science

Added: August 6, 2018

2015 journal article

Reductive Linear Differential Algebraic Groups and the Galois Groups of Parameterized Linear Differential Equations

*INTERNATIONAL MATHEMATICS RESEARCH NOTICES*, *2015*(7), 1733–1793.

co-author countries:
Israel 🇮🇱 United States of America 🇺🇸

Source: Web Of Science

Added: August 6, 2018

2014 journal article

On the summability of bivariate rational functions

*JOURNAL OF ALGEBRA*, *409*, 320–343.

co-author countries:
China 🇨🇳 United States of America 🇺🇸

author keywords: Gosper algorithm; Summability; Double zeta values

Source: Web Of Science

Added: August 6, 2018

2014 journal article

UNIPOTENT DIFFERENTIAL ALGEBRAIC GROUPS AS PARAMETERIZED DIFFERENTIAL GALOIS GROUPS

*JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU*, *13*(4), 671–700.

co-author countries:
United States of America 🇺🇸

author keywords: differential algebraic groups; parameterized differential Galois theory; algorithms

Source: Web Of Science

Added: August 6, 2018

2013 journal article

Linear algebraic groups as parameterized Picard-Vessiot Galois groups

*JOURNAL OF ALGEBRA*, *373*, 153–161.

co-author countries:
United States of America 🇺🇸

author keywords: Parameterized Picard-Vessiot theory; Linear algebraic groups; Inverse problem

Source: Web Of Science

Added: August 6, 2018

2013 journal article

PROJECTIVE ISOMONODROMY AND GALOIS GROUPS

*PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY*, *141*(2), 605–617.

co-author countries:
France 🇫🇷 United States of America 🇺🇸

Source: Web Of Science

Added: August 6, 2018

2012 journal article

Monodromy groups of parameterized linear differential equations with regular singularities

*BULLETIN OF THE LONDON MATHEMATICAL SOCIETY*, *44*, 913–930.

co-author countries:
France 🇫🇷 United States of America 🇺🇸

Source: Web Of Science

Added: August 6, 2018

2012 journal article

Residues and telescopers for bivariate rational functions

*ADVANCES IN APPLIED MATHEMATICS*, *49*(2), 111–133.

co-author countries:
United States of America 🇺🇸

author keywords: Residues; Telescopers; Zeilberger's method

Source: Web Of Science

Added: August 6, 2018

2011 journal article

A Jordan-Holder Theorem for differential algebraic groups

*JOURNAL OF ALGEBRA*, *328*(1), 190–217.

co-author countries:
United States of America 🇺🇸

Source: Web Of Science

Added: August 6, 2018

2010 journal article

An algorithm to compute Liouvillian solutions of prime order linear difference-differential equations

*Journal of Symbolic Computation*, *45*(3), 306–323.

co-author countries:
China 🇨🇳 United States of America 🇺🇸

Source: NC State University Libraries

Added: August 6, 2018

2010 journal article

Liouvillian solutions of linear difference-differential equations

*JOURNAL OF SYMBOLIC COMPUTATION*, *45*(3), 287–305.

co-author countries:
China 🇨🇳

author keywords: Linear difference-differential equations; Galois theory; Liouvillian sequences

Source: Web Of Science

Added: August 6, 2018

2008 journal article

Differential Galois theory of linear difference equations

*MATHEMATISCHE ANNALEN*, *342*(2), 333–377.

co-author countries:
United States of America 🇺🇸

Source: Web Of Science

Added: August 6, 2018

2007 journal article

Model theory of partial differential fields: From commuting to noncommuting derivations

*PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY*, *135*(6), 1929–1934.

co-author countries:
United States of America 🇺🇸

Source: Web Of Science

Added: August 6, 2018

2005 journal article

On the constructive inverse problem in differential Galois theory

*COMMUNICATIONS IN ALGEBRA*, *33*(10), 3639–3665.

co-author countries:
France 🇫🇷 United States of America 🇺🇸

author keywords: Galois theory; inverse problem; linear differential equations; Picard-Vessiot

Source: Web Of Science

Added: August 6, 2018

2002 article

Linear differential operators for polynomial equations

Cormier, O., Singer, M. F., Trager, B. M., & Ulmer, F. (2002, November). *JOURNAL OF SYMBOLIC COMPUTATION*, Vol. 34, pp. 355–398.

co-author countries:
France 🇫🇷 United States of America 🇺🇸

Source: Web Of Science

Added: August 6, 2018

2001 article

Effective methods in algebraic geometry

Singer, M. F. (2001, October 24). *JOURNAL OF PURE AND APPLIED ALGEBRA*, Vol. 164, pp. 1–2.

Source: Web Of Science

Added: August 6, 2018

1999 article

Calculating the Galois group of L-1(L-2(y))=0, L-1,L-2 completely reducible operators

Berman, P. H., & Singer, M. F. (1999, June 17). *JOURNAL OF PURE AND APPLIED ALGEBRA*, Vol. 139, pp. 3–23.

co-author countries:
United States of America 🇺🇸

Source: Web Of Science

Added: August 6, 2018

1999 journal article

Computing Galois groups of completely reducible differential equations

*JOURNAL OF SYMBOLIC COMPUTATION*, *28*(4-5), 473–494.

co-author countries:
France 🇫🇷 United States of America 🇺🇸

Source: Web Of Science

Added: August 6, 2018

1999 journal article

Solving difference equations in finite terms

*JOURNAL OF SYMBOLIC COMPUTATION*, *27*(3), 239–259.

co-author countries:
Netherlands 🇳🇱 United States of America 🇺🇸

Source: Web Of Science

Added: August 6, 2018

1997 article

Linear differential equations and products of linear forms

Singer, M. F., & Ulmer, F. (1997, May). *JOURNAL OF PURE AND APPLIED ALGEBRA*, Vol. 117, pp. 549–563.

co-author countries:
France 🇫🇷 United States of America 🇺🇸

Source: Web Of Science

Added: August 6, 2018