Mark van Hoeij

Publication Activity (10 Years)

Years Active: 1994-2025
Publications (10 Years): 24

Top Topics

Differential Equations

Polynomially Bounded

Closed Form Solutions

Top Venues

J. Symb. Comput.

ACM Commun. Comput. Algebra

Publications

Mark van Hoeij
Submodule approach to creative telescoping. J. Symb. Comput. 126 (2025)
Heba Bou Kaedbey, Mark van Hoeij, Man Cheung Tsui
Solving Third Order Linear Difference Equations in Terms of Second Order Equations. ISSAC (2024)
Mark van Hoeij
Submodule approach to creative telescoping. CoRR (2024)
Moulay A. Barkatou, Mark van Hoeij, Johannes Middeke, Yi Zhou
Hypergeometric Solutions of Linear Difference Systems. CoRR (2024)
Yi Zhou, Mark van Hoeij
Desingularization and p-Curvature of Recurrence Operators. CoRR (2022)
Yi Zhou, Mark van Hoeij
Desingularization and p-Curvature of Recurrence Operators. ISSAC (2022)
Mark van Hoeij, Moulay A. Barkatou, Johannes Middeke
A Family of Denominator Bounds for First Order Linear Recurrence Systems. CoRR (2020)
Yi Zhou, Mark van Hoeij
Fast algorithm for factoring difference operators. ACM Commun. Comput. Algebra 53 (3) (2019)
Shayea Aldossari, Mark van Hoeij
Methods for simplifying differential equations. ACM Commun. Comput. Algebra 53 (3) (2019)
Jonas Szutkoski, Mark van Hoeij
The complexity of computing all subfields of an algebraic number field. J. Symb. Comput. 93 (2019)
Shaoshi Chen, Mark van Hoeij, Manuel Kauers, Christoph Koutschan
Reduction-based creative telescoping for fuchsian D-finite functions. J. Symb. Comput. 85 (2018)
Mark van Hoeij
Closed Form Solutions for Linear Differential and Difference Equations. ISSAC (2017)
Jakob Ablinger, Johannes Blümlein, Abilio De Freitas, Mark van Hoeij, Erdal Imamoglu, Clemens G. Raab, Cristian-Silviu Radu, Carsten Schneider
Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams. CoRR (2017)
Alin Bostan, Frédéric Chyzak, Mark van Hoeij, Manuel Kauers, Lucien Pech
Hypergeometric expressions for generating functions of walks with small steps in the quarter plane. Eur. J. Comb. 61 (2017)
Jonas Szutkoski, Mark van Hoeij, Luiz Emilio Allem, Juliane Capaverde
Functional Decomposition using Principal Subfields. CoRR (2017)
Erdal Imamoglu, Mark van Hoeij
Computing hypergeometric solutions of second order linear differential equations using quotients of formal solutions and integral bases. J. Symb. Comput. 83 (2017)
Luiz Emilio Allem, Juliane G. Capaverde, Mark van Hoeij, Jonas Szutkoski
Functional Decomposition Using Principal Subfields. ISSAC (2017)
Alin Bostan, Frédéric Chyzak, Mark van Hoeij, Manuel Kauers, Lucien Pech
Hypergeometric Expressions for Generating Functions of Walks with Small Steps in the Quarter Plane. CoRR (2016)
Shaoshi Chen, Mark van Hoeij, Manuel Kauers, Christoph Koutschan
Reduction-Based Creative Telescoping for Fuchsian D-finite Functions. CoRR (2016)
Erdal Imamoglu, Mark van Hoeij
Computing Hypergeometric Solutions of Second Order Linear Differential Equations using Quotients of Formal Solutions and Integral Bases. CoRR (2016)
Jonas Szutkoski, Mark van Hoeij
The Complexity of Computing all Subfields of an Algebraic Number Field. CoRR (2016)
Mark van Hoeij, Michael B. Monagan
A Modular Algorithm for Computing Polynomial GCDs over Number Fields presented with Multiple Extensions. CoRR (2016)
Erdal Imamoglu, Mark van Hoeij
Computing Hypergeometric Solutions of Second Order Linear Differential Equations using Quotients of Formal Solutions. ISSAC (2015)
Mark van Hoeij
Groebner basis in Boolean rings is not polynomial-space. CoRR (2015)
Mark van Hoeij, Erdal Imamoglu
-type Solutions of Second Order Differential Equations. ACM Commun. Comput. Algebra 48 (3/4) (2014)
Mark van Hoeij, Raimundas Vidunas
Computation of Genus 0 Belyi Functions. ICMS (2014)
Vijay Jung Kunwar, Mark van Hoeij
Second order differential equations with hypergeometric solutions of degree three. ISSAC (2013)
Mark van Hoeij, Jürgen Klüners, Andrew Novocin
Generating subfields. J. Symb. Comput. 52 (2013)
Mark van Hoeij
The complexity of factoring univariatepolynomials over the rationals: tutorial abstract. ISSAC (2013)
Mark van Hoeij
Computing Puiseux Expansions at Cusps of the Modular Curve X0(N). CoRR (2013)
Mark van Hoeij, Vijay Jung Kunwar
type solutions of differential equations with 5 singularities. ACM Commun. Comput. Algebra 46 (3/4) (2012)
Mark van Hoeij, Andrew Novocin
Gradual Sub-lattice Reduction and a New Complexity for Factoring Polynomials. Algorithmica 63 (3) (2012)
Sergei A. Abramov, Moulay A. Barkatou, Mark van Hoeij, Marko Petkovsek
Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences. J. Symb. Comput. 46 (11) (2011)
Mark van Hoeij, Jürgen Klüners, Andrew Novocin
Generating subfields. ISSAC (2011)
William Hart, Mark van Hoeij, Andrew Novocin
Practical polynomial factoring in polynomial time. ISSAC (2011)
Alin Bostan, Frédéric Chyzak, Mark van Hoeij, Lucien Pech
Explicit formula for the generating series of diagonal 3D rook paths CoRR (2011)
Tingting Fang, Mark van Hoeij
2-descent for second order linear differential equations. ISSAC (2011)
Yongjae Cha, Mark van Hoeij, Giles Levy
Abstract only: Solving linear recurrence relations. ACM Commun. Comput. Algebra 44 (1/2) (2010)
Mark van Hoeij
Abstract only: The complexity of factoring univariate polynomials over the rationals. ACM Commun. Comput. Algebra 44 (1/2) (2010)
Yongjae Cha, Mark van Hoeij, Giles Levy
Solving linear recurrence equations. ACM Commun. Comput. Algebra 44 (3/4) (2010)
Yongjae Cha, Mark van Hoeij, Giles Levy
Solving recurrence relations using local invariants. ISSAC (2010)
Mark van Hoeij, Vivek Pal
Isomorphisms of Algebraic Number Fields CoRR (2010)
Tingting Fang, Mark van Hoeij
Abstract only: Solving linear differential equations by using descent. ACM Commun. Comput. Algebra 44 (1/2) (2010)
Mark van Hoeij, Andrew Novocin
Gradual Sub-lattice Reduction and a New Complexity for Factoring Polynomials. LATIN (2010)
Mark van Hoeij, Andrew Novocin
Gradual sub-lattice reduction and a new complexity for factoring polynomials CoRR (2010)
Mark van Hoeij, Quan Yuan
Finding all bessel type solutions for linear differential equations with rational function coefficients. ISSAC (2010)
Mark van Hoeij, Giles Levy
Liouvillian solutions of irreducible second order linear difference equations. ISSAC (2010)
Yongjae Cha, Mark van Hoeij
Liouvillian solutions of irreducible linear difference equations. ISSAC (2009)
Ruben Debeerst, Mark van Hoeij, Wolfram Koepf
Solving differential equations in terms of bessel functions. ISSAC (2008)
Andy Novocin, Mark van Hoeij
Factoring univariate polynomials over the rationals. ACM Commun. Comput. Algebra 42 (3) (2008)
André Galligo, Mark van Hoeij
Approximate bivariate factorization: a geometric viewpoint. SNC (2007)
Mark van Hoeij
Solving third order linear differential equations in terms of second order equations. ISSAC (2007)
Sergei A. Abramov, Moulay A. Barkatou, Mark van Hoeij
Apparent singularities of linear difference equations with polynomial coefficients. Appl. Algebra Eng. Commun. Comput. 17 (2) (2006)
Thomas Cluzeau, Mark van Hoeij
Computing Hypergeometric Solutions of Linear Recurrence Equations. Appl. Algebra Eng. Commun. Comput. 17 (2) (2006)
Mark van Hoeij, Jacques-Arthur Weil
Solving second order linear differential equations with Klein's theorem. ISSAC (2005)
Thomas Cluzeau, Mark van Hoeij
A modular algorithm for computing the exponential solutions of a linear differential operator. J. Symb. Comput. 38 (3) (2004)
Reinhold Burger, George Labahn, Mark van Hoeij
Closed form solutions of linear odes having elliptic function coefficients. ISSAC (2004)
Mark van Hoeij, Michael B. Monagan
Algorithms for polynomial GCD computation over algebraic function fields. ISSAC (2004)
Bernard Deconinck, Matthias Heil, Alexander I. Bobenko, Mark van Hoeij, Markus Schmies
Computing Riemann theta functions. Math. Comput. 73 (247) (2004)
Mark van Hoeij, Michael B. Monagan
A modular GCD algorithm over number fields presented with multiple extensions. ISSAC (2002)
Robert M. Corless, Mark Giesbrecht, Mark van Hoeij, Ilias S. Kotsireas, Stephen M. Watt
Towards factoring bivariate approximate polynomials. ISSAC (2001)
Mark van Hoeij
Factoring Polynomials and 0-1 Vectors. CaLC (2001)
Sergei A. Abramov, Mark van Hoeij
Desingularization of Linear Difference Operators with Polynomial Coefficients. ISSAC (1999)
Mark van Hoeij, Jean-François Ragot, Felix Ulmer, Jacques-Arthur Weil
Liouvillian Solutions of Linear Differential Equations of Order Three and Higher. J. Symb. Comput. 28 (4-5) (1999)
Mark van Hoeij
Rational Solutions of Linear Difference Equations. ISSAC (1998)
Mark van Hoeij
Rational Parametrizations of Algebraic Curves Using a Canonical Divisor. J. Symb. Comput. 23 (2/3) (1997)
Mark van Hoeij
Factorization of Differential Operators with Rational Functions Coefficients. J. Symb. Comput. 24 (5) (1997)
Mark van Hoeij
Formal Solutions and Factorization of Differential Operators with Power Series Coefficients. J. Symb. Comput. 24 (1) (1997)
Sergei A. Abramov, Mark van Hoeij
A Method for the Integration of Solutions of Ore Equations. ISSAC (1997)
Mark van Hoeij
Rational Solutions of the Mixed Differential Equation and Its Application to Factorization of Differential Operators. ISSAC (1996)
Mark van Hoeij
An Algorithm for Computing the Weierstrass Normal Form. ISSAC (1995)
Mark van Hoeij
Computing Parameterizations of Rational Algebraic Curves. ISSAC (1994)
Mark van Hoeij
An Algorithm for Computing an Integral Basis in an Algebraic Function Field. J. Symb. Comput. 18 (4) (1994)