Mark van Hoeij

According to our database, Mark van Hoeij authored at least 63 papers between 1994 and 2025.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2025

Submodule approach to creative telescoping.

Mark van Hoeij

J. Symb. Comput., 2025

2024

Hypergeometric Solutions of Linear Difference Systems.

Moulay A. Barkatou, Mark van Hoeij, Johannes Middeke, Yi Zhou

CoRR, 2024

Solving Third Order Linear Difference Equations in Terms of Second Order Equations.

Heba Bou Kaedbey, Mark van Hoeij, Man Cheung Tsui

Proceedings of the 2024 International Symposium on Symbolic and Algebraic Computation, 2024

2022

Desingularization and p-Curvature of Recurrence Operators.

Yi Zhou, Mark van Hoeij

Proceedings of the ISSAC '22: International Symposium on Symbolic and Algebraic Computation, Villeneuve-d'Ascq, France, July 4, 2022

2020

A Family of Denominator Bounds for First Order Linear Recurrence Systems.

Mark van Hoeij, Moulay A. Barkatou, Johannes Middeke

CoRR, 2020

2019

The complexity of computing all subfields of an algebraic number field.

Jonas Szutkoski, Mark van Hoeij

J. Symb. Comput., 2019

Fast algorithm for factoring difference operators.

Yi Zhou, Mark van Hoeij

ACM Commun. Comput. Algebra, 2019

Methods for simplifying differential equations.

Shayea Aldossari, Mark van Hoeij

ACM Commun. Comput. Algebra, 2019

2018

Reduction-based creative telescoping for fuchsian D-finite functions.

Shaoshi Chen, Mark van Hoeij, Manuel Kauers, Christoph Koutschan

J. Symb. Comput., 2018

2017

Computing hypergeometric solutions of second order linear differential equations using quotients of formal solutions and integral bases.

Erdal Imamoglu, Mark van Hoeij

J. Symb. Comput., 2017

Hypergeometric expressions for generating functions of walks with small steps in the quarter plane.

Alin Bostan, Frédéric Chyzak, Mark van Hoeij, Manuel Kauers, Lucien Pech

Eur. J. Comb., 2017

Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams.

Jakob Ablinger, Johannes Blümlein, Abilio De Freitas, Mark van Hoeij, Erdal Imamoglu, Clemens G. Raab, Cristian-Silviu Radu, Carsten Schneider

CoRR, 2017

Closed Form Solutions for Linear Differential and Difference Equations.

Mark van Hoeij

Proceedings of the 2017 ACM on International Symposium on Symbolic and Algebraic Computation, 2017

Functional Decomposition Using Principal Subfields.

Luiz Emilio Allem, Juliane G. Capaverde, Mark van Hoeij, Jonas Szutkoski

Proceedings of the 2017 ACM on International Symposium on Symbolic and Algebraic Computation, 2017

2016

A Modular Algorithm for Computing Polynomial GCDs over Number Fields presented with Multiple Extensions.

Mark van Hoeij, Michael B. Monagan

CoRR, 2016

2015

Groebner basis in Boolean rings is not polynomial-space.

Mark van Hoeij

CoRR, 2015

Computing Hypergeometric Solutions of Second Order Linear Differential Equations using Quotients of Formal Solutions.

Erdal Imamoglu, Mark van Hoeij

Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation, 2015

2014

²F¹-type Solutions of Second Order Differential Equations.

Mark van Hoeij, Erdal Imamoglu

ACM Commun. Comput. Algebra, 2014

Computation of Genus 0 Belyi Functions.

Mark van Hoeij, Raimundas Vidunas

Proceedings of the Mathematical Software - ICMS 2014, 2014

2013

Generating subfields.

Mark van Hoeij, Jürgen Klüners, Andrew Novocin

J. Symb. Comput., 2013

Computing Puiseux Expansions at Cusps of the Modular Curve X0(N).

Mark van Hoeij

CoRR, 2013

Second order differential equations with hypergeometric solutions of degree three.

Vijay Jung Kunwar, Mark van Hoeij

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2013

The complexity of factoring univariatepolynomials over the rationals: tutorial abstract.

Mark van Hoeij

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2013

2012

Finding ₂F₁ type solutions of differential equations with 5 singularities.

Mark van Hoeij, Vijay Jung Kunwar

ACM Commun. Comput. Algebra, 2012

Gradual Sub-lattice Reduction and a New Complexity for Factoring Polynomials.

Mark van Hoeij, Andrew Novocin

Algorithmica, 2012

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

Explicit formula for the generating series of diagonal 3D rook paths

Alin Bostan, Frédéric Chyzak, Mark van Hoeij, Lucien Pech

CoRR, 2011

Practical polynomial factoring in polynomial time.

William Hart, Mark van Hoeij, Andrew Novocin

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2011

2-descent for second order linear differential equations.

Tingting Fang, Mark van Hoeij

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2011

2010

Isomorphisms of Algebraic Number Fields

Mark van Hoeij, Vivek Pal

CoRR, 2010

Abstract only: The complexity of factoring univariate polynomials over the rationals.

Mark van Hoeij

ACM Commun. Comput. Algebra, 2010

Abstract only: Solving linear differential equations by using descent.

Tingting Fang, Mark van Hoeij

ACM Commun. Comput. Algebra, 2010

Solving linear recurrence equations.

Yongjae Cha, Mark van Hoeij, Giles Levy

ACM Commun. Comput. Algebra, 2010

Abstract only: Solving linear recurrence relations.

Yongjae Cha, Mark van Hoeij, Giles Levy

ACM Commun. Comput. Algebra, 2010

Finding all bessel type solutions for linear differential equations with rational function coefficients.

Mark van Hoeij, Quan Yuan

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2010

Liouvillian solutions of irreducible second order linear difference equations.

Mark van Hoeij, Giles Levy

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2010

Solving recurrence relations using local invariants.

Yongjae Cha, Mark van Hoeij, Giles Levy

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2010

2009

Liouvillian solutions of irreducible linear difference equations.

Yongjae Cha, Mark van Hoeij

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2009

2008

Factoring univariate polynomials over the rationals.

Andy Novocin, Mark van Hoeij

ACM Commun. Comput. Algebra, 2008

Solving differential equations in terms of bessel functions.

Ruben Debeerst, Mark van Hoeij, Wolfram Koepf

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2008

2007

Solving third order linear differential equations in terms of second order equations.

Mark van Hoeij

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2007

Approximate bivariate factorization: a geometric viewpoint.

André Galligo, Mark van Hoeij

Proceedings of the Symbolic-Numeric Computation, 2007

2006

Computing Hypergeometric Solutions of Linear Recurrence Equations.

Thomas Cluzeau, Mark van Hoeij

Appl. Algebra Eng. Commun. Comput., 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

2005

Solving second order linear differential equations with Klein's theorem.

Mark van Hoeij, Jacques-Arthur Weil

Proceedings of the Symbolic and Algebraic Computation, 2005

2004

Computing Riemann theta functions.

Bernard Deconinck, Matthias Heil, Alexander I. Bobenko, Mark van Hoeij, Markus Schmies

Math. Comput., 2004

A modular algorithm for computing the exponential solutions of a linear differential operator.

Thomas Cluzeau, Mark van Hoeij

J. Symb. Comput., 2004

Algorithms for polynomial GCD computation over algebraic function fields.

Mark van Hoeij, Michael B. Monagan

Proceedings of the Symbolic and Algebraic Computation, 2004

Closed form solutions of linear odes having elliptic function coefficients.

Reinhold Burger, George Labahn, Mark van Hoeij

Proceedings of the Symbolic and Algebraic Computation, 2004

2002

A modular GCD algorithm over number fields presented with multiple extensions.

Mark van Hoeij, Michael B. Monagan

Proceedings of the Symbolic and Algebraic Computation, 2002

2001

Towards factoring bivariate approximate polynomials.

Robert M. Corless, Mark Giesbrecht, Mark van Hoeij, Ilias S. Kotsireas, Stephen M. Watt

Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation, 2001

Factoring Polynomials and 0-1 Vectors.

Mark van Hoeij

Proceedings of the Cryptography and Lattices, International Conference, 2001

1999

Liouvillian Solutions of Linear Differential Equations of Order Three and Higher.

Mark van Hoeij, Jean-François Ragot, Felix Ulmer, Jacques-Arthur Weil

J. Symb. Comput., 1999

Desingularization of Linear Difference Operators with Polynomial Coefficients.

Sergei A. Abramov, Mark van Hoeij

Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation, 1999

1998

Rational Solutions of Linear Difference Equations.

Mark van Hoeij

Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation, 1998

1997

Factorization of Differential Operators with Rational Functions Coefficients.

Mark van Hoeij

J. Symb. Comput., 1997

Formal Solutions and Factorization of Differential Operators with Power Series Coefficients.

Mark van Hoeij

J. Symb. Comput., 1997

Rational Parametrizations of Algebraic Curves Using a Canonical Divisor.

Mark van Hoeij

J. Symb. Comput., 1997

A Method for the Integration of Solutions of Ore Equations.

Sergei A. Abramov, Mark van Hoeij

Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation, 1997

1996

Rational Solutions of the Mixed Differential Equation and Its Application to Factorization of Differential Operators.

Mark van Hoeij

Proceedings of the 1996 International Symposium on Symbolic and Algebraic Computation, 1996

1995

An Algorithm for Computing the Weierstrass Normal Form.

Mark van Hoeij

Proceedings of the 1995 International Symposium on Symbolic and Algebraic Computation, 1995

1994

An Algorithm for Computing an Integral Basis in an Algebraic Function Field.

Mark van Hoeij

J. Symb. Comput., 1994

Computing Parameterizations of Rational Algebraic Curves.

Mark van Hoeij

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 1994