Rational Newton Algorithm for Computing Formal Solutions of Linear Differential Equations. - Moulay A. Barkatou (ISSAC, 1988)

On the Reduction of Linear Systems of Difference Equations. - Moulay A. Barkatou (ISSAC, 1989)

Contribution à l'étude des équations différentielles et aux différences dans le champ complexe. (Contributions to the study of linear differential equations and difference equations in the complex domain). - My Abdelfattah Barkatou (1989)

Characterization of regular singular linear systems of difference equations. - Moulay A. Barkatou (Numer. Algorithms, 1991)

An Algorithm for Computing a Companion Block Dianonal Form for a System of Linear Differential Equations. - Moulay A. Barkatou (Appl. Algebra Eng. Commun. Comput., 1993)

A Rational Version of Moser's Algorithm. - Moulay A. Barkatou (ISSAC, 1995)

An algorithm to compute the exponential part of a formal fundamental matrix solution of a linear differential system. - Moulay A. Barkatou (Appl. Algebra Eng. Commun. Comput., 1996)

Rational Solutions of First Order Linear Difference Systems. - Sergei A. Abramov; Moulay A. Barkatou (ISSAC, 1998)

On the Equivalence Problem of Linear Differential Systems and Its Application for Factoring Completely Reducible Systems. - Moulay A. Barkatou; Eckhard Pflügel (ISSAC, 1998)

Rational Solutions of Matrix Difference Equations: The Problem of Equivalence and Factorization. - Moulay A. Barkatou (ISSAC, 1999)

On Rational Solutions of Systems of Linear Differential Equations. - Moulay A. Barkatou (J. Symb. Comput., 1999)

An Algorithm Computing the Regular Formal Solutions of a System of Linear Differential Equations. - Moulay A. Barkatou; Eckhard Pflügel (J. Symb. Comput., 1999)

Rank reduction of a class of pfaffian systems in two variables. - Nicolas Le Roux; Moulay A. Barkatou (ISSAC, 2006)

Apparent singularities of linear difference equations with polynomial coefficients. - Sergei A. Abramov; Moulay A. Barkatou; Mark van Hoeij (Appl. Algebra Eng. Commun. Comput., 2006)

Computing super-irreducible forms of systems of linear differential equations via moser-reduction: a new approach. - Moulay A. Barkatou; Eckhard Pflügel (ISSAC, 2007)

Regular systems of linear functional equations and applications. - Moulay A. Barkatou; Gary Broughton; Eckhard Pflügel (ISSAC, 2008)

On m-Interlacing Solutions of Linear Difference Equations. - Sergei A. Abramov; Moulay A. Barkatou; Denis E. Khmelnov (CASC, 2009)

Algorithms for regular solutions of higher-order linear differential systems. - Moulay A. Barkatou; Thomas Cluzeau; Carole El Bacha (ISSAC, 2009)

D'Alembertian series solutions at ordinary points of LODE with polynomial coefficients. - Sergei A. Abramov; Moulay A. Barkatou (J. Symb. Comput., 2009)

On the Moser- and super-reduction algorithms of systems of linear differential equations and their complexity. - Moulay A. Barkatou; Eckhard Pflügel (J. Symb. Comput., 2009)

Symbolic methods for solving systems of linear ordinary differential equations. - Moulay A. Barkatou (ISSAC, 2010)

Simultaneously row- and column-reduced higher-order linear differential systems. - Moulay A. Barkatou; Carole El Bacha; Eckhard Pflügel (ISSAC, 2010)

A Monomial-by-Monomial Method for Computing Regular Solutions of Systems of Pseudo-Linear Equations. - Moulay A. Barkatou; Gary Broughton; Eckhard Pflügel (Math. Comput. Sci., 2010)

Higher-Order Linear Differential Systems with Truncated Coefficients. - Sergei A. Abramov; Moulay A. Barkatou; Eckhard Pflügel (CASC, 2011)

Formal first integrals along solutions of differential systems I. - Ainhoa Aparicio-Monforte; Moulay A. Barkatou; Sergi Simon; Jacques-Arthur Weil (ISSAC, 2011)

Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences. - Sergei A. Abramov; Moulay A. Barkatou; Mark van Hoeij; Marko Petkovsek (J. Symb. Comput., 2011)

Simple forms of higher-order linear differential systems and their applications in computing regular solutions. - Moulay A. Barkatou; Thomas Cluzeau; Carole El Bacha (J. Symb. Comput., 2011)

Computing closed form solutions of integrable connections. - Moulay A. Barkatou; Thomas Cluzeau; Carole El Bacha; Jacques-Arthur Weil (ISSAC, 2012)

Solving linear ordinary differential systems in hyperexponential extensions. - Moulay A. Barkatou; Clemens G. Raab (ISSAC, 2012)

ISOLDE: a maple package for systems of linear functional equations. - Moulay A. Barkatou; Eckhard Pflügel; Flavia Stan (ACM Commun. Comput. Algebra, 2012)

On the Dimension of Solution Spaces of Full Rank Linear Differential Systems. - Sergei A. Abramov; Moulay A. Barkatou (CASC, 2013)

On k-simple forms of first-order linear differential systems and their computation. - Moulay A. Barkatou; Carole El Bacha (J. Symb. Comput., 2013)

On simultaneous row and column reduction of higher-order linear differential systems. - Moulay A. Barkatou; Carole El Bacha; George Labahn; Eckhard Pflügel (J. Symb. Comput., 2013)

Computable Infinite Power Series in the Role of Coefficients of Linear Differential Systems. - Sergei A. Abramov; Moulay A. Barkatou (CASC, 2014)

Formal solutions of a class of Pfaffian systems in two variables. - Suzy S. Maddah; Moulay A. Barkatou; Hassan Abbas (ISSAC, 2014)

On the reduction of singularly-perturbed linear differential systems. - Suzy S. Maddah; Moulay A. Barkatou; Hassan Abbas (ISSAC, 2014)

Some ideas for the computation of matrix solvents. - Moulay A. Barkatou; Paola Boito; Esteban Segura Ugalde (SNC, 2014)

On Solution Spaces of Products of Linear Differential or Difference Operators. - Sergei A. Abramov; Moulay A. Barkatou (ACM Commun. Comput. Algebra, 2014)

A New Approach for Computing Regular Solutions of Linear Difference Systems. - Moulay A. Barkatou; Thomas Cluzeau; Carole El Bacha (CASC, 2015)

Formal Solutions of Linear Differential Systems with Essential Singularities in their Coefficients. - Moulay A. Barkatou; Thomas Cluzeau; Achref Jalouli (ISSAC, 2015)

Removing Apparent Singularities of Systems of Linear Differential Equations with Rational Function Coefficients. - Moulay A. Barkatou; Suzy S. Maddah (ISSAC, 2015)

A direct algorithm for computing k-simple forms of first-order linear differential systems. - Moulay A. Barkatou (ACM Commun. Comput. Algebra, 2015)

On full rank differential systems with power series coefficients. - Sergei A. Abramov; Moulay A. Barkatou; Denis E. Khmelnov (J. Symb. Comput., 2015)

Computing the Lie Algebra of the Differential Galois Group of a Linear Differential System. - Moulay A. Barkatou; Thomas Cluzeau; Jacques-Arthur Weil; Lucia Di Vizio (ISSAC, 2016)

Special issue on computational aspects of differential/difference algebra and integral operators. - Moulay A. Barkatou; Thomas Cluzeau; Alexey Ovchinnikov; Georg Regensburger; Markus Rosenkranz (Adv. Appl. Math., 2016)

Formal solutions of completely integrable Pfaffian systems with normal crossings. - Moulay A. Barkatou; Maximilian Jaroschek; Suzy S. Maddah (J. Symb. Comput., 2017)

A contour integral approach to the computation of invariant pairs. - Moulay A. Barkatou; Paola Boito; Esteban Segura Ugalde (Theor. Comput. Sci., 2017)

Desingularization of First Order Linear Difference Systems with Rational Function Coefficients. - Moulay A. Barkatou; Maximilian Jaroschek (ISSAC, 2018)

A New Approach for Formal Reduction of Singular Linear Differential Systems Using Eigenrings. - Moulay A. Barkatou; Joelle Saadé; Jacques-Arthur Weil (ISSAC, 2018)

Simple Forms and Rational Solutions of Pseudo-Linear Systems. - Moulay A. Barkatou; Thomas Cluzeau; Ali El-Hajj (ISSAC, 2019)

PseudoLinearSystems - A Maple Package for Studying Systems of Pseudo-Linear Equations. - Moulay A. Barkatou; Thomas Cluzeau; Ali El-Hajj (MC, 2019)

Row reduction process for matrices of scalar operators: storing the intermediate results of row transformation. - Sergei A. Abramov; Moulay A. Barkatou (ACM Commun. Comput. Algebra, 2019)

Formal solutions of singularly-perturbed linear differential systems. - Moulay A. Barkatou; Suzy S. Maddah (J. Symb. Comput., 2019)

A Family of Denominator Bounds for First Order Linear Recurrence Systems. - Mark van Hoeij; Moulay A. Barkatou; Johannes Middeke (CoRR, 2020)

On Rational Solutions of Pseudo-linear Systems. - Moulay A. Barkatou; Thomas Cluzeau; Ali El-Hajj (CASC, 2021)

Removing apparent singularities of linear difference systems. - Moulay A. Barkatou; Maximilian Jaroschek (J. Symb. Comput., 2021)

Formal reduction of singular linear differential systems using eigenrings: A refined approach. - Moulay A. Barkatou; Joelle Saadé; Jacques-Arthur Weil (J. Symb. Comput., 2021)

Gröbner Bases Over Polytopal Affinoid Algebras. - Moulay A. Barkatou; Lucas Legrand; Tristan Vaccon (ISSAC, 2024)

Gr{ö}bner bases over polytopal affinoid algebras. - Moulay A. Barkatou; Lucas Legrand; Tristan Vaccon (CoRR, 2024)

On the computation of rational solutions of linear integro-differential equations with polynomial coefficients. - Moulay A. Barkatou; Thomas Cluzeau (J. Symb. Comput., 2024)

Hypergeometric solutions of linear difference systems. - Moulay A. Barkatou; Mark van Hoeij; Johannes Middeke; Yi Zhou (J. Symb. Comput., 2026)