Marko Petkovšek
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Slovenian mathematician
Marko Petkovšek's AcademicInfluence.com Rankings
Marko Petkovšekmathematics Degrees
Mathematics
#2318
World Rank
#3597
Historical Rank
Algebra
#305
World Rank
#426
Historical Rank
Measure Theory
#4045
World Rank
#4768
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Mathematics
Marko Petkovšek's Degrees
- PhD Mathematics University of Ljubljana
Why Is Marko Petkovšek Influential?
(Suggest an Edit or Addition)According to Wikipedia, Marko Petkovšek was a Slovenian mathematician working mainly in symbolic computation. He was a professor of discrete and computational mathematics at the University of Ljubljana. He is best known for Petkovšek's algorithm, and for the book that he coauthored with Herbert Wilf and Doron Zeilberger, A = B.
Marko Petkovšek's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Hypergeometric Solutions of Linear Recurrences with Polynomial Coefficents (1992) (279)
- An Introduction to Pseudo-Linear Algebra (1996) (214)
- Linear recurrences with constant coefficients: the multivariate case (2000) (171)
- On polynomial solutions of linear operator equations (1995) (126)
- The effect of high frequency electric pulses on muscle contractions and antitumor efficiency in vivo for a potential use in clinical electrochemotherapy. (2005) (117)
- Techniques of signal generation required for electropermeabilization. Survey of electropermeabilization devices. (2004) (116)
- Walks confined in a quadrant are not always D-finite (2002) (80)
- D'Alembertian solutions of linear differential and difference equations (1994) (78)
- q-Hypergeometric solutions of q-difference equations (1998) (62)
- Rational Normal Forms and Minimal Decompositions of Hypergeometric Terms (2002) (54)
- Letter graphs and well-quasi-order by induced subgraphs (2002) (50)
- Three Methods for Calculation of the Hyper-Wiener Index of Molecular Graphs (2002) (49)
- Multibasic and Mixed Hypergeometric Gosper-Type Algorithms (1999) (43)
- The degree sequence of Fibonacci and Lucas cubes (2011) (42)
- How to do monthly problems with your computer (1997) (35)
- Special formal series solutions of linear operator equations (2000) (31)
- Solving Linear Recurrence Equations with Polynomial Coefficients (2013) (30)
- Minimal decomposition of indefinite hypergeometric sums (2001) (29)
- Finding all hypergeometric solutions of linear differential equations (1993) (27)
- Gambler's Ruin Problem in Several Dimensions (2002) (25)
- New universal aspects of diffusion in strongly chaotic systems (1997) (20)
- On the structure of multivariate hypergeometric terms (2002) (20)
- Enumeration of I-graphs: Burnside does it again (2009) (19)
- Finding closed-form solutions of difference equations by symbolic methods (1991) (19)
- On subgraphs of Cartesian product graphs (2002) (18)
- Learning from Examples - A Uniform View (1990) (16)
- On Polynomial Solutions of Linear Partial Differential and (q-)Difference Equations (2012) (16)
- High voltage pulse generation [electroporation] (2002) (14)
- Rational canonical forms and efficient representations of hypergeometric terms (2003) (14)
- Proof of a Conjecture of Wilf and Zeilberger (2001) (13)
- Polynomial Ring Automorphisms , Rational ( w , σ )-Canonical Forms , and the Assignment Problem Dedicated to the memory of Manuel Bronstein ( 1963 – 2005 ) (2010) (13)
- A high-tech proof of the Mills-Robbins-Rumsey determinant formula (1995) (13)
- Counting disconnected structures : Chemical trees, fullerenes, I-graphs, and others (2005) (12)
- On Rational and Hypergeometric Solutions of Linear Ordinary Difference Equations in $Π\mathbfΣ^*$-field extensions (2020) (11)
- Polynomial ring automorphisms, rational (w, sigma)-canonical forms, and the assignment problem (2010) (11)
- RComp: A Mathematica Package for Computing with Recursive Sequences (1995) (11)
- Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences (2011) (11)
- A generalization of Gosper's algorithm (1994) (10)
- Quantum random walk on the integer lattice: examples and phenomena (2009) (10)
- On a conjecture of Ira Gessel (2008) (9)
- On Rational and Hypergeometric Solutions of Linear Ordinary Difference Equations in *-field extensions (2021) (9)
- The Irrational Chess Knight (1998) (9)
- Multilevel bipolar high voltage pulse source - interlock dead time reduction (2003) (8)
- Metric properties of generalized Sierpiński graphs over stars (2019) (8)
- Hypergeometric Solutions of First-Order Linear Difference Systems with Rational-Function Coefficients (2015) (8)
- Intersection graphs of halflines and halfplanes (1987) (7)
- Soft-magnetic ring core measuring system with a decreased number of primary and secondary winding turns (2004) (7)
- Precision B- H Analyzer With Low THD Secondary Induced Voltage (2008) (6)
- Vertex and Edge Orbits of Fibonacci and Lucas Cubes (2014) (6)
- Resolving sequences of operators for linear ordinary differential and difference systems of arbitrary order (2016) (5)
- Pascal-like determinants are recursive (2004) (5)
- When can the sum of (1/p)th of the binomial coefficients have closed form? (1996) (5)
- Low Power Multiple Output DC Supply -Part I: Flyback Converter with Wide Input Voltage Range (2006) (5)
- An operator inequality and self-adjointness (2004) (4)
- Symbolic computation with sequences (2006) (4)
- Proposal of a New Hybrid Breeding Method Based on Genotyping, Inter-Pollination, Phenotyping and Paternity Testing of Selected Elite F1 Hybrids (2019) (4)
- Determination of magnetic properties of soft-magnetic ring cores with a reduced number of primary and secondary winding turns (2004) (3)
- Load voltage evaluation method for time-discrete inverters (1999) (3)
- Erratum to "Rational normal forms and minimal decompositions of hypergeometric terms" [J. Symbolic Comput 33 (2002) 521-543] (2004) (3)
- Magnetizing rotor flux determination using a time-discrete voltage source inverter (2000) (2)
- DISCRETE BOUNDARY-VALUE PROBLEMS (2009) (2)
- Ambiguous numbers are dense (1990) (2)
- The Zarankiewicz Problem via Chow Forms (2002) (2)
- HYPERGEOMETRIC SUMMATION REVISITED (2007) (2)
- Analytic Solutions of Linear Difference Equations, Formal Series, and Bottom Summation (2007) (2)
- A note on enumeration of one-vertex maps (2010) (2)
- Contiguous digit sets and local roundings (1989) (2)
- Dimensions of solution spaces of H (2008) (2)
- An explicit formula for |FM(1+1+n)| (1990) (2)
- Digital control of a modular multilevel voltage source (2003) (2)
- Voltage harmonics compensator for high-voltage power supplies (2013) (1)
- Matrices of Scalar Differential Operators: Divisibility and Spaces of Solutions (2020) (1)
- Convolutions of Liouvillian Sequences (2018) (1)
- ChemInform Abstract: Three Methods for Calculation of the Hyper-Wiener Index of Molecular Graphs. (2002) (1)
- Evaluating Common-Mode Voltage Based Trade-Offs in Differential-Ended and Single-Supplied Signal Conditioning Amplifiers (2021) (1)
- Solution spaces of H-systems and the Ore-Sato theorem (extended abstract) (2006) (1)
- Elementary Problems: E3276-E3281 (1988) (1)
- Precision <formula formulatype="inline"><tex>$B$</tex></formula>– <formula formulatype="inline"><tex>$H$</tex></formula> Analyzer With Low THD Secondary Induced Voltage (2008) (1)
- Algorithm Execution Time and Accuracy of NTC Thermistor-Based Temperature Measurements in Time-Critical Applications (2021) (1)
- Cost-Effective Determination of Organic Additives in Electroplating Solutions (2005) (1)
- Definite Sums as Solutions of Linear Recurrences With Polynomial Coefficients (2018) (1)
- S C ] 2 3 M ar 2 01 8 Convolutions of Liouvillian Sequences (2018) (0)
- Increased Pulse Repetition Frequency For Effective And Less Painful Electrochemotherapy (2003) (0)
- Counting One-Vertex Maps (2008) (0)
- Linear Difference Operators with Coefficients in the Form of Infinite Sequences (2021) (0)
- Matrices of Scalar Differential Operators: Divisibility and Spaces of Solutions (2020) (0)
- Potentiodynamic Approach for Determination of Organic Additives Concentration in Electroplating Solutions (2006) (0)
- Development of an Inventory Control Management Program (2014) (0)
- The Factorial-Basis Method for Finding Definite-Sum Solutions of Linear Recurrences With Polynomial Coefficients (2022) (0)
- MULTIBASIC AND MIXED GOSPER’S ALGORITHM (2007) (0)
- Foreword from the Editors (2012) (0)
- Vertex and Edge Orbits of Fibonacci and Lucas Cubes (2016) (0)
- On Linear Dependence of Rows and Columns in Matrices over Non-commutative Domains (2022) (0)
- Adaptive analog filtering of the time-discrete converter's voltage (1998) (0)
- ACA ’ 2003 July 28-31 , 2003 9 th International Conference on Applications of Computer Algebra North Carolina State University Raleigh , North Carolina , USA (0)
- On a Conjecture of Ira Gessel Marko Petkovšek (2008) (0)
- High-efficiency DC/DC converter for low-voltage applications (2010) (0)
- Orbits of Fibonacci and Lucas cubes, dihedral transformations, and asymmetric strings (2014) (0)
- A Comparison of Measurement Procedures for Soft-Magnetic Wound Core Characterisation (2011) (0)
- Resolving sequences of operators for linear ordinary differential and difference systems of arbitrary order (2016) (0)
- The Lah identity and the Argonauts (2002) (0)
- Gosper ’ s Algorithm and Accurate Summation as Definite Summation Tools ∗ (2005) (0)
- Low Power Multiple Output DC Supply - Part II: Crossover Voltage Control in Multiple Output DC Supply (2006) (0)
- On the bottom summation (2008) (0)
- Solving multivariate linear recurrences in wedges (abstract only) (2008) (0)
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