Marko Petkovsek

According to our database, Marko Petkovsek authored at least 51 papers between 1987 and 2023.

Collaborative distances:

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

2023

The factorial-basis method for finding definite-sum solutions of linear recurrences with polynomial coefficients.

Antonio Jiménez-Pastor, Marko Petkovsek

J. Symb. Comput., July, 2023

2022

On Linear Dependence of Rows and Columns in Matrices over Non-commutative Domains.

Sergei A. Abramov, Marko Petkovsek, Anna A. Ryabenko

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

2021

On rational and hypergeometric solutions of linear ordinary difference equations in ΠΣ^⁎-field extensions.

Sergei A. Abramov, Manuel Bronstein, Marko Petkovsek, Carsten Schneider

J. Symb. Comput., 2021

2020

Convolutions of Liouvillian sequences.

Sergei A. Abramov, Marko Petkovsek, Helena Zakrajsek

J. Symb. Comput., 2020

On Rational and Hypergeometric Solutions of Linear Ordinary Difference Equations in $Π\mathbfΣ^*$-field extensions.

Sergei A. Abramov, Manuel Bronstein, Marko Petkovsek, Carsten Schneider

CoRR, 2020

2019

Metric properties of generalized Sierpiński graphs over stars.

Yaser Alizadeh, Ehsan Estaji, Sandi Klavzar, Marko Petkovsek

Discret. Appl. Math., 2019

2018

Definite Sums as Solutions of Linear Recurrences With Polynomial Coefficients.

Marko Petkovsek

CoRR, 2018

2015

Hypergeometric Solutions of First-Order Linear Difference Systems with Rational-Function Coefficients.

Sergei A. Abramov, Marko Petkovsek, Anna A. Ryabenko

Proceedings of the Computer Algebra in Scientific Computing - 17th International Workshop, 2015

2013

Herbert S. Wilf (1931-2012).

Marko Petkovsek

Ars Math. Contemp., 2013

2012

Foreword from the Editors.

Viktor Levandovskyy, Dusan Pagon, Marko Petkovsek, Valery G. Romanovski

J. Symb. Comput., 2012

On Polynomial Solutions of Linear Partial Differential and (q-)Difference Equations.

Sergei A. Abramov, Marko Petkovsek

Proceedings of the Computer Algebra in Scientific Computing - 14th International Workshop, 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

The degree sequence of Fibonacci and Lucas cubes.

Sandi Klavzar, Michel Mollard, Marko Petkovsek

Discret. Math., 2011

2010

Polynomial ring automorphisms, rational (w, sigma)-canonical forms, and the assignment problem.

Sergei A. Abramov, Marko Petkovsek

J. Symb. Comput., 2010

A note on enumeration of one-vertex maps.

Alen Orbanic, Marko Petkovsek, Tomaz Pisanski, Primoz Potocnik

Ars Math. Contemp., 2010

2009

Enumeration of I-graphs: Burnside does it again.

Marko Petkovsek, Helena Zakrajsek

Ars Math. Contemp., 2009

2008

Precision B- H Analyzer With Low THD Secondary Induced Voltage.

Gorazd Modrijan, Marko Petkovsek, Peter Zajec, Danijel Voncina

IEEE Trans. Ind. Electron., 2008

On the bottom summation.

Sergei A. Abramov, Marko Petkovsek

Program. Comput. Softw., 2008

Dimensions of solution spaces of H.

Sergei A. Abramov, Marko Petkovsek

J. Symb. Comput., 2008

Solving multivariate linear recurrences in wedges (abstract only).

Marko Petkovsek

ACM Commun. Comput. Algebra, 2008

2007

Analytic Solutions of Linear Difference Equations, Formal Series, and Bottom Summation.

Sergei A. Abramov, Marko Petkovsek

Proceedings of the Computer Algebra in Scientific Computing, 10th International Workshop, 2007

2006

Symbolic computation with sequences.

Marko Petkovsek

Program. Comput. Softw., 2006

Solution spaces of <i>H</i>-systems and the Ore-Sato theorem (extended abstract).

Sergei A. Abramov, Marko Petkovsek

Program. Comput. Softw., 2006

2004

Soft-magnetic ring core measuring system with a decreased number of primary and secondary winding turns.

Marko Petkovsek, Janez Nastran, Peter Zajec, France Pavlovcic, Danijel Voncina

IEEE Trans. Instrum. Meas., 2004

Erratum to "Rational normal forms and minimal decompositions of hypergeometric terms" [J. Symbolic Comput 33 (2002) 521-543].

Sergei A. Abramov, Marko Petkovsek

J. Symb. Comput., 2004

Pascal-like determinants are recursive.

Helena Zakrajsek, Marko Petkovsek

Adv. Appl. Math., 2004

2003

Walks confined in a quadrant are not always D-finite.

Mireille Bousquet-Mélou, Marko Petkovsek

Theor. Comput. Sci., 2003

Rational canonical forms and efficient representations of hypergeometric terms.

Sergei A. Abramov, Ha Q. Le, Marko Petkovsek

Proceedings of the Symbolic and Algebraic Computation, 2003

2002

Rational Normal Forms and Minimal Decompositions of Hypergeometric Terms.

Sergei A. Abramov, Marko Petkovsek

J. Symb. Comput., 2002

Three Methods for Calculation of the Hyper-Wiener Index of Molecular Graphs.

Gordon G. Cash, Sandi Klavzar, Marko Petkovsek

J. Chem. Inf. Comput. Sci., 2002

Letter graphs and well-quasi-order by induced subgraphs.

Marko Petkovsek

Discret. Math., 2002

On subgraphs of Cartesian product graphs.

Sandi Klavzar, Alenka Lipovec, Marko Petkovsek

Discret. Math., 2002

Gambler's Ruin Problem in Several Dimensions.

Andrej Kmet, Marko Petkovsek

Adv. Appl. Math., 2002

On the structure of multivariate hypergeometric terms.

Sergei A. Abramov, Marko Petkovsek

Adv. Appl. Math., 2002

2001

Minimal decomposition of indefinite hypergeometric sums.

Sergei A. Abramov, Marko Petkovsek

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

2000

Linear recurrences with constant coefficients: the multivariate case.

Mireille Bousquet-Mélou, Marko Petkovsek

Discret. Math., 2000

Special formal series solutions of linear operator equations.

Sergei A. Abramov, Marko Petkovsek, Anna A. Ryabenko

Discret. Math., 2000

1999

Multibasic and Mixed Hypergeometric Gosper-Type Algorithms.

Andrej Bauer, Marko Petkovsek

J. Symb. Comput., 1999

1998

q-Hypergeometric solutions of q-difference equations.

Sergei A. Abramov, Peter Paule, Marko Petkovsek

Discret. Math., 1998

1997

When can the sum of (1/p)th of the binomial coefficients have closed form?

Marko Petkovsek, Herbert S. Wilf

Electron. J. Comb., 1997

1996

An Introduction to Pseudo-Linear Algebra.

Manuel Bronstein, Marko Petkovsek

Theor. Comput. Sci., 1996

A high-tech proof of the Mills-Robbins-Rumsey determinant formula.

Marko Petkovsek, Herbert S. Wilf

Electron. J. Comb., 1996

1995

RComp: A Mathematica Package for Computing with Recursive Sequences.

István Nemes, Marko Petkovsek

J. Symb. Comput., 1995

On Polynomial Solutions of Linear Operator Equations.

Sergei A. Abramov, Manuel Bronstein, Marko Petkovsek

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

1994

A generalization of Gosper's algorithm.

Marko Petkovsek

Discret. Math., 1994

D'Alembertian Solutions of Linear Differential and Difference Equations.

Sergei A. Abramov, Marko Petkovsek

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

1993

Finding all Hypergeometric Solutions of Linear Differential Equations.

Marko Petkovsek, Bruno Salvy

Proceedings of the 1993 International Symposium on Symbolic and Algebraic Computation, 1993

1992

Hypergeometric Solutions of Linear Recurrences with Polynomial Coefficents.

Marko Petkovsek

J. Symb. Comput., 1992

1991

Learning from Examples - A Uniform View.

Matjaz Gams, Matija Drobnic, Marko Petkovsek

Int. J. Man Mach. Stud., 1991

1989

Contiguous digit sets and local roundings.

Marko Petkovsek

Proceedings of the 9th Symposium on Computer Arithmetic, 1989

1987

Intersection graphs of halflines and halfplanes.

Sandi Klavzar, Marko Petkovsek

Discret. Math., 1987