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Marko Petkovsek
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- affiliation: University of Ljubljana, Slovenia
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2020 – today
- 2023
- [j39]Antonio Jiménez-Pastor, Marko Petkovsek:
The factorial-basis method for finding definite-sum solutions of linear recurrences with polynomial coefficients. J. Symb. Comput. 117: 15-50 (2023) - [c11]Sergei A. Abramov, Marko Petkovsek, Anna A. Ryabenko:
On Systems of Linear Homogeneous Algebraic Equations over Truncated Formal Series. SYNASC 2023: 40-43 - 2022
- [c10]Sergei A. Abramov, Marko Petkovsek, Anna A. Ryabenko:
On Linear Dependence of Rows and Columns in Matrices over Non-commutative Domains. ISSAC 2022: 39-43 - [i4]Antonio Jiménez-Pastor, Marko Petkovsek:
The Factorial-Basis Method for Finding Definite-Sum Solutions of Linear Recurrences With Polynomial Coefficients. CoRR abs/2202.05550 (2022) - 2021
- [j38]Sergei A. Abramov, Manuel Bronstein, Marko Petkovsek, Carsten Schneider:
On rational and hypergeometric solutions of linear ordinary difference equations in ΠΣ⁎-field extensions. J. Symb. Comput. 107: 23-66 (2021) - 2020
- [j37]Sergei A. Abramov, Marko Petkovsek, Helena Zakrajsek:
Convolutions of Liouvillian sequences. J. Symb. Comput. 101: 73-89 (2020) - [i3]Sergei A. Abramov, Manuel Bronstein, Marko Petkovsek, Carsten Schneider:
On Rational and Hypergeometric Solutions of Linear Ordinary Difference Equations in $Π\mathbfΣ^*$-field extensions. CoRR abs/2005.04944 (2020)
2010 – 2019
- 2019
- [j36]Yaser Alizadeh, Ehsan Estaji, Sandi Klavzar, Marko Petkovsek:
Metric properties of generalized Sierpiński graphs over stars. Discret. Appl. Math. 266: 48-55 (2019) - 2018
- [i2]Sergei A. Abramov, Marko Petkovsek, Helena Zakrajsek:
Convolutions of Liouvillian Sequences. CoRR abs/1803.08747 (2018) - [i1]Marko Petkovsek:
Definite Sums as Solutions of Linear Recurrences With Polynomial Coefficients. CoRR abs/1804.02964 (2018) - 2015
- [c9]Sergei A. Abramov, Marko Petkovsek, Anna A. Ryabenko:
Hypergeometric Solutions of First-Order Linear Difference Systems with Rational-Function Coefficients. CASC 2015: 1-14 - 2013
- [j35]Marko Petkovsek:
Herbert S. Wilf (1931-2012). Ars Math. Contemp. 6(2) (2013) - 2012
- [j34]Viktor Levandovskyy, Dusan Pagon, Marko Petkovsek, Valery G. Romanovski:
Foreword from the Editors. J. Symb. Comput. 47(10): 1137-1139 (2012) - [c8]Sergei A. Abramov, Marko Petkovsek:
On Polynomial Solutions of Linear Partial Differential and (q-)Difference Equations. CASC 2012: 1-11 - 2011
- [j33]Sandi Klavzar, Michel Mollard, Marko Petkovsek:
The degree sequence of Fibonacci and Lucas cubes. Discret. Math. 311(14): 1310-1322 (2011) - [j32]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): 1205-1228 (2011) - 2010
- [j31]Alen Orbanic, Marko Petkovsek, Tomaz Pisanski, Primoz Potocnik:
A note on enumeration of one-vertex maps. Ars Math. Contemp. 3(1): 1-12 (2010) - [j30]Sergei A. Abramov, Marko Petkovsek:
Polynomial ring automorphisms, rational (w, sigma)-canonical forms, and the assignment problem. J. Symb. Comput. 45(6): 684-708 (2010)
2000 – 2009
- 2009
- [j29]Marko Petkovsek, Helena Zakrajsek:
Enumeration of I-graphs: Burnside does it again. Ars Math. Contemp. 2(2): 241-262 (2009) - 2008
- [j28]Marko Petkovsek:
Solving multivariate linear recurrences in wedges (abstract only). ACM Commun. Comput. Algebra 42(1-2): 18-19 (2008) - [j27]Sergei A. Abramov, Marko Petkovsek:
Dimensions of solution spaces of H. J. Symb. Comput. 43(5): 377-394 (2008) - [j26]Sergei A. Abramov, Marko Petkovsek:
On the bottom summation. Program. Comput. Softw. 34(4): 187-190 (2008) - [j25]Gorazd Modrijan, Marko Petkovsek, Peter Zajec, Danijel Voncina:
Precision B- H Analyzer With Low THD Secondary Induced Voltage. IEEE Trans. Ind. Electron. 55(1): 364-370 (2008) - 2007
- [c7]Sergei A. Abramov, Marko Petkovsek:
Analytic Solutions of Linear Difference Equations, Formal Series, and Bottom Summation. CASC 2007: 1-10 - 2006
- [j24]Marko Petkovsek:
Symbolic computation with sequences. Program. Comput. Softw. 32(2): 65-70 (2006) - [j23]Sergei A. Abramov, Marko Petkovsek:
Solution spaces of H-systems and the Ore-Sato theorem (extended abstract). Program. Comput. Softw. 32(2): 118-119 (2006) - 2004
- [j22]Helena Zakrajsek, Marko Petkovsek:
Pascal-like determinants are recursive. Adv. Appl. Math. 33(3): 431-450 (2004) - [j21]Sergei A. Abramov, Marko Petkovsek:
Erratum to "Rational normal forms and minimal decompositions of hypergeometric terms" [J. Symbolic Comput 33 (2002) 521-543]. J. Symb. Comput. 38(3): 1165 (2004) - [j20]Marko Petkovsek, Janez Nastran, Peter Zajec, France Pavlovcic, Danijel Voncina:
Soft-magnetic ring core measuring system with a decreased number of primary and secondary winding turns. IEEE Trans. Instrum. Meas. 53(2): 444-447 (2004) - 2003
- [j19]Mireille Bousquet-Mélou, Marko Petkovsek:
Walks confined in a quadrant are not always D-finite. Theor. Comput. Sci. 307(2): 257-276 (2003) - [c6]Sergei A. Abramov, Ha Q. Le, Marko Petkovsek:
Rational canonical forms and efficient representations of hypergeometric terms. ISSAC 2003: 7-14 - 2002
- [j18]Andrej Kmet, Marko Petkovsek:
Gambler's Ruin Problem in Several Dimensions. Adv. Appl. Math. 28(2): 107-118 (2002) - [j17]Sergei A. Abramov, Marko Petkovsek:
On the structure of multivariate hypergeometric terms. Adv. Appl. Math. 29(3): 386-411 (2002) - [j16]Sandi Klavzar, Alenka Lipovec, Marko Petkovsek:
On subgraphs of Cartesian product graphs. Discret. Math. 244(1-3): 223-230 (2002) - [j15]Marko Petkovsek:
Letter graphs and well-quasi-order by induced subgraphs. Discret. Math. 244(1-3): 375-388 (2002) - [j14]Gordon G. Cash, Sandi Klavzar, Marko Petkovsek:
Three Methods for Calculation of the Hyper-Wiener Index of Molecular Graphs. J. Chem. Inf. Comput. Sci. 42(3): 571-576 (2002) - [j13]Sergei A. Abramov, Marko Petkovsek:
Rational Normal Forms and Minimal Decompositions of Hypergeometric Terms. J. Symb. Comput. 33(5): 521-543 (2002) - 2001
- [c5]Sergei A. Abramov, Marko Petkovsek:
Minimal decomposition of indefinite hypergeometric sums. ISSAC 2001: 7-14 - 2000
- [j12]Sergei A. Abramov, Marko Petkovsek, Anna A. Ryabenko:
Special formal series solutions of linear operator equations. Discret. Math. 210(1-3): 3-25 (2000) - [j11]Mireille Bousquet-Mélou, Marko Petkovsek:
Linear recurrences with constant coefficients: the multivariate case. Discret. Math. 225(1-3): 51-75 (2000)
1990 – 1999
- 1999
- [j10]Andrej Bauer, Marko Petkovsek:
Multibasic and Mixed Hypergeometric Gosper-Type Algorithms. J. Symb. Comput. 28(4-5): 711-736 (1999) - 1998
- [j9]Sergei A. Abramov, Peter Paule, Marko Petkovsek:
q-Hypergeometric solutions of q-difference equations. Discret. Math. 180(1-3): 3-22 (1998) - 1997
- [j8]Marko Petkovsek, Herbert S. Wilf:
When can the sum of (1/p)th of the binomial coefficients have closed form? Electron. J. Comb. 4(2) (1997) - 1996
- [j7]Marko Petkovsek, Herbert S. Wilf:
A high-tech proof of the Mills-Robbins-Rumsey determinant formula. Electron. J. Comb. 3(2) (1996) - [j6]Manuel Bronstein, Marko Petkovsek:
An Introduction to Pseudo-Linear Algebra. Theor. Comput. Sci. 157(1): 3-33 (1996) - 1995
- [j5]István Nemes, Marko Petkovsek:
RComp: A Mathematica Package for Computing with Recursive Sequences. J. Symb. Comput. 20(5/6): 745-753 (1995) - [c4]Sergei A. Abramov, Manuel Bronstein, Marko Petkovsek:
On Polynomial Solutions of Linear Operator Equations. ISSAC 1995: 290-296 - 1994
- [j4]Marko Petkovsek:
A generalization of Gosper's algorithm. Discret. Math. 134(1-3): 125-131 (1994) - [c3]Sergei A. Abramov, Marko Petkovsek:
D'Alembertian Solutions of Linear Differential and Difference Equations. ISSAC 1994: 169-174 - 1993
- [c2]Marko Petkovsek, Bruno Salvy:
Finding all Hypergeometric Solutions of Linear Differential Equations. ISSAC 1993: 27-33 - 1992
- [j3]Marko Petkovsek:
Hypergeometric Solutions of Linear Recurrences with Polynomial Coefficents. J. Symb. Comput. 14(2/3): 243-264 (1992) - 1991
- [j2]Matjaz Gams, Matija Drobnic, Marko Petkovsek:
Learning from Examples - A Uniform View. Int. J. Man Mach. Stud. 34(1): 49-68 (1991)
1980 – 1989
- 1989
- [c1]Marko Petkovsek:
Contiguous digit sets and local roundings. IEEE Symposium on Computer Arithmetic 1989: 136-143 - 1987
- [j1]Sandi Klavzar, Marko Petkovsek:
Intersection graphs of halflines and halfplanes. Discret. Math. 66(1-2): 133-137 (1987)
Coauthor Index
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