Edit Profile (opens in new tab) Prodinger, Helmut Co-Author Distance Author ID: prodinger.helmut Published as: Prodinger, Helmut; Prodinger, H. Homepage: http://math.sun.ac.za/~hproding/ External Links: MGP · dblp · GND Documents Indexed: 449 Publications since 1979, including 35 Additional arXiv Preprints 5 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 79 Co-Authors with 263 Joint Publications 2,032 Co-Co-Authors all top 5 Co-Authors 187 single-authored 44 Kirschenhofer, Peter 32 Heuberger, Clemens 27 Panholzer, Alois 26 Kilic, Emrah 24 Louchard, Guy 21 Grabner, Peter J. 15 Knopfmacher, Arnold 15 Szpankowski, Wojciech 11 Tichy, Robert Franz 11 Wagner, Stephan G. 9 Hackl, Benjamin 8 Martínez, Conrado 7 Oliver, Kamilla 6 Flajolet, Philippe 6 Gu, Nancy Shan Shan 5 Kropf, Sara 4 Alzer, Horst 4 Avanzi, Roberto Maria 4 Schneider, Carsten 4 Selkirk, Sarah J. 4 Urbanek, Friedrich J. 3 Akkus, Ilker 3 Arıkan, Talha 3 Blecher, Aubrey 3 Drmota, Michael 3 Krenn, Daniel 3 Kuba, Markus F. 3 Panny, Wolfgang 3 Ward, Mark Daniel 2 Archibald, Margaret 2 Aumüller, Martin 2 Dietzfelbinger, Martin 2 Driver, Kathy A. 2 Fuchs, Michael 2 Mansour, Toufik 2 Ohtsuka, Hideyuki 2 Paule, Peter 2 Riedel, Marko 2 Weideman, J. André C. 1 Andrews, George Eyre 1 Baril, Jean-Luc 1 Bassino, Frédérique 1 Brennan, Charlotte A. C. 1 Brent, Richard Peirce 1 Callan, David 1 Cristea, Ligia-Loreta 1 Cristea, Ligia-Loretta 1 Deutsch, Emeric 1 Du, Rosena R. X. 1 Elsholtz, Christian 1 Freiberg, Uta Renata 1 Gittenberger, Bernhard 1 Gourdon, Xavier 1 Hare, Kevin G. 1 Hubalek, Friedrich 1 Hwang, Hsien-Kuei 1 Ismail, Mourad El-Houssieny 1 Janelidze, Zurab 1 Katti, Rajendra S. 1 Kemp, Rainer 1 Kuba, Michal 1 Kuich, Werner 1 Lee, Chung-Kuei 1 Lew, William 1 Mahmoud, Hosam M. 1 Martinjak, Ivica 1 Moon, John W. 1 Morris, Kate 1 Munagi, Augustine O. 1 Osborn, Judy-Anne H. 1 Ruan, Xiaoyu 1 Schoißengeier, Johannes 1 Shallit, Jeffrey Outlaw 1 Stanton, Dennis W. 1 Tauraso, Roberto 1 Thierrin, Gabriel 1 Thuswaldner, Jörg Maximilian 1 Tsifhumulo, Tuwani A. 1 Van Niekerk, Francois Koch all top 5 Serials 26 The Fibonacci Quarterly 23 Theoretical Computer Science 18 Integers 16 Discrete Mathematics and Theoretical Computer Science. DMTCS 14 Discrete Mathematics 11 Journal of Integer Sequences 10 Quaestiones Mathematicae 10 Algorithmica 9 The Electronic Journal of Combinatorics 8 European Journal of Combinatorics 8 Séminaire Lotharingien de Combinatoire 7 Mathematica Slovaca 7 Random Structures & Algorithms 7 Annals of Combinatorics 7 Applicable Analysis and Discrete Mathematics 6 Ars Combinatoria 5 Periodica Mathematica Hungarica 5 Monatshefte für Mathematik 4 Information Processing Letters 4 Computing 4 Utilitas Mathematica 4 Statistics & Probability Letters 4 Bulletin of the European Association for Theoretical Computer Science (EATCS) 4 Combinatorics, Probability and Computing 4 Special Matrices 4 Enumerative Combinatorics and Applications 3 Discrete Applied Mathematics 3 Journal of Statistical Planning and Inference 3 RAIRO, Informatique Théorique 3 SIAM Journal on Computing 3 Internationale Mathematische Nachrichten 3 The Annals of Applied Probability 3 International Journal of Foundations of Computer Science 3 Aequationes Mathematicae 3 The Australasian Journal of Combinatorics 3 Turkish Journal of Mathematics 3 The Ramanujan Journal 3 Afrika Matematika 3 Journal of Algebra, Combinatorics, Discrete Structures and Applications 2 IEEE Transactions on Information Theory 2 Indian Journal of Pure & Applied Mathematics 2 Rocky Mountain Journal of Mathematics 2 Canadian Mathematical Bulletin 2 Journal of Combinatorics, Information & System Sciences 2 Journal of Combinatorial Theory. Series A 2 Journal of Computational and Applied Mathematics 2 Sitzungsberichte. Abteilung II. Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 2 Journal of Algorithms 2 Advances in Applied Mathematics 2 Journal of Information & Optimization Sciences 2 Graphs and Combinatorics 2 RAIRO. Informatique Théorique et Applications 2 PU.M.A. Pure Mathematics and Applications 2 Filomat 2 Annales Mathematicae Silesianae 2 Central European Journal of Mathematics 2 International Journal of Number Theory 2 Journal of the Iranian Statistical Society JIRSS 2 Ars Mathematica Contemporanea 2 ACM Transactions on Algorithms 2 DML. Discrete Mathematics Letters 1 Advances in Applied Probability 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 The Computer Journal. Section A / Section B 1 Glasgow Mathematical Journal 1 Information and Control 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Applied Probability 1 Journal of Graph Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Mathematika 1 Networks 1 Publicationes Mathematicae Debrecen 1 Studia Scientiarum Mathematicarum Hungarica 1 Tamkang Journal of Mathematics 1 Soochow Journal of Mathematics 1 SIAM Journal on Algebraic and Discrete Methods 1 Combinatorica 1 Acta Mathematica Hungarica 1 Order 1 Information and Computation 1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 1 Applied Mathematics Letters 1 SIAM Journal on Discrete Mathematics 1 Designs, Codes and Cryptography 1 Elektronische Informationsverarbeitung und Kybernetik 1 Glasnik Matematički. Serija III 1 International Journal of Computer Mathematics 1 Anzeiger der Österreichischen Akademie der Wissenschaften. Mathematisch-Naturwissenschaftliche Klasse 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Indagationes Mathematicae. New Series 1 Journal de Théorie des Nombres de Bordeaux 1 Bulletin of the Institute of Combinatorics and its Applications 1 Journal of Difference Equations and Applications 1 Southwest Journal of Pure and Applied Mathematics ...and 19 more Serials all top 5 Fields 242 Combinatorics (05-XX) 145 Number theory (11-XX) 141 Computer science (68-XX) 79 Probability theory and stochastic processes (60-XX) 22 Special functions (33-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 12 Information and communication theory, circuits (94-XX) 10 Statistics (62-XX) 8 General and overarching topics; collections (00-XX) 5 Algebraic geometry (14-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Group theory and generalizations (20-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Numerical analysis (65-XX) 2 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 General topology (54-XX) 2 Operations research, mathematical programming (90-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 318 Publications have been cited 1,848 times in 1,179 Documents Cited by ▼ Year ▼ Fibonacci numbers of graphs. Zbl 0475.05046 Prodinger, Helmut; Tichy, Robert F. 99 1982 Mellin transforms and asymptotics: Digital sums. Zbl 0788.44004 Flajolet, Philippe; Grabner, Peter; Kirschenhofer, Peter; Prodinger, Helmut; Tichy, Robert F. 62 1994 Spanning tree formulas and Chebyshev polynomials. Zbl 0651.05028 Boesch, F. T.; Prodinger, H. 47 1986 Special issue: Average-case analysis of algorithms. Zbl 0969.00028 46 2001 The kernel method: a collection of examples. Zbl 1063.05011 Prodinger, Helmut 40 2003 Level of nodes in increasing trees revisited. Zbl 1131.05029 Panholzer, Alois; Prodinger, Helmut 30 2007 On Ramanujan’s \(Q\)-function. Zbl 0826.33001 Flajolet, Philippe; Grabner, Peter J.; Kirschenhofer, Peter; Prodinger, Helmut 30 1995 How to select a loser. Zbl 0795.90103 Prodinger, Helmut 30 1993 Some information about the binomial transform. Zbl 0818.05002 Prodinger, Helmut 24 1994 Combinatorics of geometrically distributed random variables: Left-to-right maxima. Zbl 0853.60006 Prodinger, Helmut 24 1996 On The variance of the extremal path length in a symmetric digital trie. Zbl 0685.68059 Kirschenhofer, Peter; Prodinger, Helmut; Szpankowski, Wojciech 24 1989 Asymptotics of the moments of extreme-value related distribution functions. Zbl 1117.68096 Louchard, Guy; Prodinger, Helmut 23 2006 Bijections for ternary trees and non-crossing trees. Zbl 1010.05018 Panholzer, Alois; Prodinger, Helmut 18 2002 On some applications of formulae of Ramanujan in the analysis of algorithms. Zbl 0765.68051 Kirschenhofer, P.; Prodinger, H. 18 1991 On monotone functions of tree structures. Zbl 0508.05042 Prodinger, Helmut; Urbanek, Friedrich J. 17 1983 A bijection between directed column-convex polyominoes and ordered trees of height at most three. Zbl 1048.05024 Deutsch, Emeric; Prodinger, Helmut 16 2003 Infinite 0-1 sequences without long adjacent identical blocks. Zbl 0421.05007 Prodinger, Helmut; Urbanek, Friedrich J. 16 1979 A correspondence between ordered trees and noncrossing partitions. Zbl 0514.05008 Prodinger, Helmut 16 1983 Distribution results for low-weight binary representations for pairs of integers. Zbl 1050.94009 Grabner, Peter J.; Heuberger, Clemens; Prodinger, Helmut 15 2004 Multiple Quickselect – Hoare’s Find algorithm for several elements. Zbl 0875.68313 Prodinger, Helmut 15 1995 Register allocation for unary-binary trees. Zbl 0612.68065 Flajolet, P.; Prodinger, H. 15 1986 Analysis of alternative digit sets for nonadjacent representations. Zbl 1094.11007 Heuberger, Clemens; Prodinger, Helmut 14 2006 Notes on protected nodes in digital search trees. Zbl 1244.05055 Du, Rosena R. X.; Prodinger, Helmut 14 2012 Periodic oscillations in the analysis of algorithms and their cancellations. Zbl 1491.68279 Prodinger, Helmut 14 2004 On Carlitz compositions. Zbl 0902.05004 Knopfmacher, Arnold; Prodinger, Helmut 13 1998 Padé approximations to the logarithm. III: Alternative methods and additional results. Zbl 1108.41011 Driver, Kathy; Prodinger, Helmut; Schneider, Carsten; Weideman, J. A. C. 13 2006 Comparisons in Hoare’s Find algorithm. Zbl 0892.68021 Kirschenhofer, Peter; Prodinger, Helmut 13 1998 Partial match queries in relaxed multidimensional search trees. Zbl 0967.68054 Martínez, C.; Panholzer, A.; Prodinger, H. 12 2001 Human proofs of identities by Osburn and Schneider. Zbl 1162.05004 Prodinger, Helmut 12 2008 The sum-of-digits function for complex bases. Zbl 0959.11045 Grabner, Peter J.; Kirschenhofer, Peter; Prodinger, Helmut 12 1998 On the balance property of Patricia tries: External path length viewpoint. Zbl 0678.68042 Kirschenhofer, Peter; Prodinger, Helmut; Szpankowski, Wojciech 12 1989 The number of spanning trees in the square of a cycle. Zbl 0587.05040 Baron, G.; Prodinger, H.; Tichy, R. F.; Boesch, F. T.; Wang, J. F. 12 1985 Padé approximations to the logarithm II: Identities, recurrences, and symbolic computation. Zbl 1102.41015 Driver, Kathy; Prodinger, Helmut; Schneider, Carsten; Weideman, J. A. C. 12 2006 Level number sequences for trees. Zbl 0634.05021 Flajolet, Philippe; Prodinger, Helmut 12 1987 Combinatorics of geometrically distributed random variables: New \(q\)-tangent and \(q\)-secant numbers. Zbl 0965.05012 Prodinger, Helmut 11 2000 A result in order statistics related to probabilistic counting. Zbl 0782.60021 Kirschenhofer, P.; Prodinger, H. 11 1993 On minimal expansions in redundant number systems: Algorithms and quantitative analysis. Zbl 1030.11003 Heuberger, C.; Prodinger, H. 10 2001 A generating functions approach for the analysis of grand averages for multiple QUICKSELECT. Zbl 0959.68513 Panholzer, Alois; Prodinger, Helmut 10 1998 Secant and cosecant sums and Bernoulli-Nörlund polynomials. Zbl 1221.11169 Grabner, Peter J.; Prodinger, Helmut 10 2007 Analysis of Hoare’s FIND algorithm with median-of-three partition. Zbl 0867.68034 Kirschenhofer, P.; Prodinger, H.; Martínez, C. 10 1997 Identities involving harmonic numbers that are of interest for physicist. Zbl 1242.05023 Prodinger, Helmut 10 2010 On a sum of Melham and its variants. Zbl 1220.11023 Prodinger, Helmut 10 2009 Combinatorics of geometrically distributed random variables: Value and position of the \(r\)th left-to-right maximum. Zbl 0969.60014 Knopfmacher, Arnold; Prodinger, Helmut 9 2001 The number of inversions in permutations: A saddle point approach. Zbl 1024.05006 Louchard, Guy; Prodinger, Helmut 9 2003 On gaps and unoccupied urns in sequences of geometrically distributed random variables. Zbl 1166.60005 Louchard, Guy; Prodinger, Helmut 9 2008 Asymptotic analysis of the moments of the Cantor distribution. Zbl 0844.62016 Grabner, P. J.; Prodinger, H. 9 1996 On the moments of the sum-of-digits function. Zbl 0797.11012 Grabner, P. J.; Kirschenhofer, P.; Prodinger, H.; Tichy, R. F. 9 1993 Variants of the Filbert matrix. Zbl 1306.11019 Kılıç, Emrah; Prodinger, Helmut 9 2013 The asymmetric leader election algorithm: another approach. Zbl 1233.68175 Louchard, Guy; Prodinger, Helmut 9 2009 Some further results on digital search trees. Zbl 0596.68053 Kirschenhofer, Peter; Prodinger, Helmut 9 1986 A generalized Filbert matrix. Zbl 1219.11028 Kilic, Emrah; Prodinger, Helmut 9 2010 The expected height of paths for several notions of height. Zbl 0615.05028 Panny, Wolfgang; Prodinger, Helmut 9 1985 Evaluation of sums involving Gaussian \(q\)-binomial coefficients with rational weight functions. Zbl 1396.11043 Kiliç, Emrah; Prodinger, Helmut 9 2016 Words, Dyck paths, trees, and bijections. Zbl 1504.05015 Prodinger, Helmut 9 2001 On two subclasses of Motzkin paths and their relation to ternary trees. Zbl 07293169 Prodinger, Helmut; Selkirk, Sarah J.; Wagner, Stephan 9 2020 Minimality of the Hamming weight of the \(\tau \)-NAF for Koblitz curves and improved combination with point halving. Zbl 1151.94474 Avanzi, Roberto Maria; Heuberger, Clemens; Prodinger, Helmut 8 2006 Schur’s determinants and partition theorems. Zbl 0960.05008 Ismail, Mourad E. H.; Prodinger, Helmut; Stanton, Dennis 8 2000 Spanning tree size in random binary search trees. Zbl 1126.68031 Panholzer, Alois; Prodinger, Helmut 8 2004 Digital search trees again revisited: The internal path length perspective. Zbl 0819.68067 Kirschenhofer, Peter; Prodinger, Helmut; Szpankowski, Wojciech 8 1994 Staircase words and Chebyshev polynomials. Zbl 1299.05003 Knopfmacher, Arnold; Mansour, Toufik; Munagi, Augustine; Prodinger, Helmut 8 2010 Approximate counting: An alternative approach. Zbl 0732.68052 Kirschenhofer, Peter; Prodinger, Helmut 8 1991 Formulas for fibonomial sums with generalized Fibonacci and Lucas coefficients. Zbl 1257.11015 Kiliç, Emrah; Prodinger, Helmut; Akkus, Ilker; Ohtsuka, Hideyuki 8 2011 Analysis of linear combination algorithms in cryptography. Zbl 1321.68514 Grabner, Peter J.; Heuberger, Clemens; Prodinger, Helmut; Thuswaldner, Jörg M. 8 2005 Fibonacci numbers of graphs. III: Planted plane trees. Zbl 0597.05034 Kirschenhofer, Peter; Prodinger, Helmut; Tichy, Robert F. 8 1986 Generalizing the sum of digits function. Zbl 0498.10009 Prodinger, Helmut 8 1982 On the number of combinations without a fixed distance. Zbl 0522.05006 Prodinger, Helmut 8 1983 The height and width of bargraphs. Zbl 1303.05045 Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Prodinger, Helmut 8 2015 Closed form evaluation of sums containing squares of Fibonomial coefficients. Zbl 1389.11044 Kiliç, Emrah; Prodinger, Helmut 8 2016 The number of distinct values in a geometrically distributed sample. Zbl 1102.60004 Archibald, Margaret; Knopfmacher, Arnold; Prodinger, Helmut 8 2006 The \(q\)-Pilbert matrix. Zbl 1290.11026 Kılıç, Emrah; Prodinger, Helmut 8 2012 Combinatorics of geometrically distributed random variables: Value and position of large left-to-right maxima. Zbl 1003.60015 Prodinger, Helmut 7 2002 \(q\)-identities of Fu and Lascoux proved by the \(q\)-Rice formula. Zbl 1062.05019 Prodinger, Helmut 7 2004 The number of winners in a discrete geometrically distributed sample. Zbl 0859.60009 Kirschenhofer, Peter; Prodinger, Helmut 7 1996 Scalar multiplication on Koblitz curves using the Frobenius endomorphism and its combination with point halving: extensions and mathematical analysis. Zbl 1106.94021 Avanzi, Roberto M.; Heuberger, Clemens; Prodinger, Helmut 7 2006 Some applications of the \(q\)-Rice formula. Zbl 0986.05015 Prodinger, Helmut 7 2001 On the analysis of probabilistic counting. Zbl 0707.68046 Kirschenhofer, Peter; Prodinger, Helmut 7 1990 Fibonacci numbers of graphs. II. Zbl 0498.05039 Kirschenhofer, Peter; Prodinger, Helmut; Tichy, Robert F. 7 1983 Hypothetical analyses: Approximate counting in the style of Knuth, path length in the style of Flajolet. Zbl 0747.68032 Prodinger, Helmut 7 1992 Sums of powers of Fibonacci polynomials. Zbl 1232.11020 Prodinger, Helmut 7 2009 Carry propagation in signed digit representations. Zbl 1026.11015 Heuberger, Clemens; Prodinger, Helmut 6 2003 On Stirling numbers for complex arguments and Hankel contours. Zbl 0921.05001 Flajolet, Philippe; Prodinger, Helmut 6 1999 The number of distinct values of some multiplicity in sequences of geometrically distributed random variables. Zbl 1104.68136 Louchard, Guy; Prodinger, Helmut; Ward, Mark Daniel 6 2005 Asymptotics of the Luria-Delbrück distribution via singularity analysis. Zbl 0851.60013 Prodinger, Helmut 6 1996 On the number of Fibonacci partitions of a set. Zbl 0475.05009 Prodinger, Helmut 6 1981 The reciprocal super Catalan matrix. Zbl 1321.15027 Prodinger, Helmut 6 2015 Zur Auswertung gewisser numerischer Reihen mit Hilfe modularer Funktionen. (On the evaluation of certain numerical series with the help of modular functions). Zbl 0635.68065 Kirschenhofer, Peter; Prodinger, Helmut; Schoißengeier, Johannes 6 1987 Number of survivors in the presence of a demon. Zbl 1299.05019 Louchard, Guy; Prodinger, Helmut; Ward, Mark Daniel 6 2012 The height of planted plane trees revisited. Zbl 0533.05023 Prodinger, Helmut 6 1983 A note on Stirling series. Zbl 1268.11036 Kuba, Markus; Prodinger, Helmut 6 2010 Generating random derangements. Zbl 1429.68160 Martínez, Conrado; Panholzer, Alois; Prodinger, Helmut 6 2008 Formulae related to the \(q\)-Dixon formula with applications to Fibonomial sums. Zbl 1349.11028 Kiliç, E.; Prodinger, H. 6 2015 Some binomial sums involving absolute values. Zbl 1336.05006 Brent, Richard P.; Ohtsuka, Hideyuki; Osborn, Judy-Anne H.; Prodinger, Helmut 6 2016 Returns, hills, and \(t\)-ary trees. Zbl 1348.05023 Prodinger, Helmut 6 2016 Asymmetric generalizations of the Filbert matrix and variants. Zbl 1367.11024 Kılıç, Emrah; Prodinger, Helmut 6 2014 Analysis of bidirectional ballot sequences and random walks ending in their maximum. Zbl 1358.05019 Hackl, Benjamin; Heuberger, Clemens; Prodinger, Helmut; Wagner, Stephan 6 2016 Multidimensional digital searching and some new parameters in tries. Zbl 0782.68061 Kirschenhofer, Peter; Prodinger, Helmut; Szpankowski, Wojciech 6 1993 Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions. Zbl 1427.11017 Prodinger, Helmut 6 2017 Sums of squares of Tetranacci numbers: a generating function approach. Zbl 1447.11032 Prodinger, Helmut; Selkirk, Sarah J. 6 2019 \(q\)-Engel series expansions and Slater’s identities. Zbl 1024.11054 Andrews, George E.; Knopfmacher, Arnold; Paule, Peter; Prodinger, Helmut 5 2001 Probabilistic analysis of Carlitz compositions. Zbl 0994.68081 Louchard, Guy; Prodinger, Helmut 5 2002 Skew Dyck paths without up-down-left. Zbl 1538.05007 Prodinger, Helmut 1 2024 Enumeration of partial Łukasiewicz paths. Zbl 1512.05007 Baril, Jean-Luc; Prodinger, Helmut 1 2023 Partial skew Dyck paths: a kernel method approach. Zbl 1494.05006 Prodinger, Helmut 4 2022 Partial Dyck paths with air pockets. Zbl 1506.05015 Prodinger, Helmut 4 2022 Skew Dyck paths with catastrophes. Zbl 1513.05026 Prodinger, Helmut 2 2022 Philippe Flajolet’s early work in combinatorics. Zbl 1512.05040 Prodinger, Helmut 1 2022 Skew Dyck paths having no peaks at level 1. Zbl 1482.05015 Prodinger, Helmut 1 2022 On some problems about ternary paths: a linear algebra approach. Zbl 1472.05008 Prodinger, Helmut 4 2021 Combinatorics on lattice paths in strips. Zbl 07333297 Gu, Nancy S. S.; Prodinger, Helmut 3 2021 Nondecreasing Deutsch paths. Zbl 1503.05006 Prodinger, Helmut 1 2021 Convolution identities for Tribonacci numbers via the diagonal of a bivariate generating function. Zbl 1510.11058 Prodinger, Helmut 1 2021 A bijection between two subfamilies of Motzkin paths. Zbl 1499.05059 Gu, Nancy S. S.; Prodinger, Helmut 1 2021 An elementary approach to solve recursions relative to the enumeration of S-Motzkin paths. Zbl 1475.05011 Prodinger, Helmut 1 2021 On two subclasses of Motzkin paths and their relation to ternary trees. Zbl 07293169 Prodinger, Helmut; Selkirk, Sarah J.; Wagner, Stephan 9 2020 Enumeration of S-Motzkin paths from left to right and from right to left: a kernel method approach. Zbl 1474.05012 Prodinger, Helmut 3 2020 Identities and inequalities for sums involving binomial coefficients. Zbl 1435.05030 Alzer, Horst; Prodinger, Helmut 1 2020 Sums of powers over equally spaced Fibonacci numbers. Zbl 1472.11070 Prodinger, Helmut 1 2020 Evaluation of sums of products of Gaussian \(q\)-binomial coefficients with rational weight functions. Zbl 1480.11026 Arikan, Talha; Kiliç, Emrah; Prodinger, Helmut 1 2020 Sums of squares of Tetranacci numbers: a generating function approach. Zbl 1447.11032 Prodinger, Helmut; Selkirk, Sarah J. 6 2019 Complementary families of the Fibonacci-Lucas relations. Zbl 1441.11031 Martinjak, Ivica; Prodinger, Helmut 3 2019 A nonsymmetrical matrix and its factorizations. Zbl 1498.11048 Arıkan, Talha; Kılıç, Emrah; Prodinger, Helmut 2 2019 Dual-pivot quicksort: optimality, analysis and zeros of associated lattice paths. Zbl 1432.68108 Aumüller, Martin; Dietzfelbinger, Martin; Heuberger, Clemens; Krenn, Daniel; Prodinger, Helmut 2 2019 A wide class of combinatorial matrices related with reciprocal Pascal and super Catalan matrices. Zbl 1452.15020 Kilic, Emrah; Prodinger, Helmut 2 2019 Evaluation of sums involving products of Gaussian \(q\)-binomial coefficients with applications. Zbl 1505.11028 Kiliç, Emrah; Prodinger, Helmut 1 2019 Logarithms of a binomial series: a Stirling number approach. Zbl 1433.05024 Prodinger, Helmut 1 2019 On Ruehr’s identities. Zbl 1488.05019 Alzer, Horst; Prodinger, Helmut 4 2018 Counting ascents in generalized Dyck paths. Zbl 1482.05012 Hackl, Benjamin; Heuberger, Clemens; Prodinger, Helmut 4 2018 Reductions of binary trees and lattice paths induced by the register function. Zbl 1380.68305 Hackl, Benjamin; Heuberger, Clemens; Prodinger, Helmut 3 2018 Fringe analysis of plane trees related to cutting and pruning. Zbl 1383.05017 Hackl, Benjamin; Heuberger, Clemens; Kropf, Sara; Prodinger, Helmut 2 2018 Analysis of summatory functions of regular sequences: transducer and Pascal’s rhombus. Zbl 1482.05013 Heuberger, Clemens; Krenn, Daniel; Prodinger, Helmut 2 2018 Visibility problems related to skip lists. Zbl 1420.60009 Prodinger, Helmut 2 2018 The necklace process: a generating function approach. Zbl 1407.60016 Hackl, Benjamin; Prodinger, Helmut 2 2018 Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions. Zbl 1427.11017 Prodinger, Helmut 6 2017 Mortenson’s identities and partial fraction decomposition. Zbl 1388.05019 Prodinger, Helmut 5 2017 Protection number in plane trees. Zbl 1499.05090 Heuberger, Clemens; Prodinger, Helmut 4 2017 Geometric random variables: descents following maxima. Zbl 1357.05005 Archibald, Margaret; Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Prodinger, Helmut 3 2017 On combinatorial identities of Engbers and Stocker. Zbl 1412.11029 Alzer, Horst; Prodinger, Helmut 2 2017 Summations in Bernoulli’s triangles via generating functions. Zbl 1352.05016 Oliver, Kamilla; Prodinger, Helmut 2 2017 Evaluation of sums involving products of Gaussian \(q \)-binomial coefficients with applications to Fibonomial sums. Zbl 1424.11043 Kiliç, Emrah; Prodinger, Helmut 2 2017 Iterative cutting and pruning of planar trees. Zbl 1433.05076 Hackl, Benjamin; Kropf, Sara; Prodinger, Helmut 1 2017 Closed form evaluation of Melham’s reciprocal sums. Zbl 1399.11051 Kılıç, E.; Prodinger, H. 1 2017 Analysis of carries in signed digit expansions. Zbl 1419.60009 Heuberger, Clemens; Kropf, Sara; Prodinger, Helmut 1 2017 Application of Smirnov words to waiting time distributions of runs. Zbl 1369.05006 Freiberg, Uta; Heuberger, Clemens; Prodinger, Helmut 1 2017 The matrix of super Patalan numbers and its factorizations. Zbl 1488.15065 Kılıç, Emrah; Prodinger, Helmut 1 2017 Evaluation of sums involving Gaussian \(q\)-binomial coefficients with rational weight functions. Zbl 1396.11043 Kiliç, Emrah; Prodinger, Helmut 9 2016 Closed form evaluation of sums containing squares of Fibonomial coefficients. Zbl 1389.11044 Kiliç, Emrah; Prodinger, Helmut 8 2016 Some binomial sums involving absolute values. Zbl 1336.05006 Brent, Richard P.; Ohtsuka, Hideyuki; Osborn, Judy-Anne H.; Prodinger, Helmut 6 2016 Returns, hills, and \(t\)-ary trees. Zbl 1348.05023 Prodinger, Helmut 6 2016 Analysis of bidirectional ballot sequences and random walks ending in their maximum. Zbl 1358.05019 Hackl, Benjamin; Heuberger, Clemens; Prodinger, Helmut; Wagner, Stephan 6 2016 The height of multiple edge plane trees. Zbl 1337.05055 Heuberger, Clemens; Prodinger, Helmut; Wagner, Stephan 4 2016 The generalized Lilbert matrix. Zbl 1389.11045 Kılıç, Emrah; Prodinger, Helmut 4 2016 Identities with squares of binomial coefficients: an elementary and explicit approach. Zbl 1432.11018 Kılıç, Emrah; Prodinger, Helmut 4 2016 Some Gaussian binomial sum formulæ with applications. Zbl 1416.11035 Kılıç, Emrah; Prodinger, Helmut 2 2016 Counting zeros in random walks on the integers and analysis of optimal dual-pivot quicksort. Zbl 1411.68042 Aumüller, Martin; Dietzfelbinger, Martin; Heuberger, Clemens; Krenn, Daniel; Prodinger, Helmut 2 2016 Notes on a combinatorial identity. Zbl 1360.05016 Alzer, Horst; Prodinger, Helmut 1 2016 Factorizations related to the reciprocal Pascal matrix. Zbl 1424.15060 Prodinger, Helmut 1 2016 Closed form evaluation of restricted sums containing squares of Fibonomial coefficients. Zbl 1513.11044 Kılıc, Emrah; Prodinger, Helmut 1 2016 The height and width of bargraphs. Zbl 1303.05045 Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Prodinger, Helmut 8 2015 The reciprocal super Catalan matrix. Zbl 1321.15027 Prodinger, Helmut 6 2015 Formulae related to the \(q\)-Dixon formula with applications to Fibonomial sums. Zbl 1349.11028 Kiliç, E.; Prodinger, H. 6 2015 Analytic methods. Zbl 1326.05011 Prodinger, Helmut 5 2015 Output sum of transducers: limiting distribution and periodic fluctuation. Zbl 1338.60068 Heuberger, Clemens; Kropf, Sara; Prodinger, Helmut 5 2015 Bootstrapping and double-exponential limit laws. Zbl 1311.05015 Prodinger, Helmut; Wagner, Stephan 1 2015 Sums of products of generalized Fibonacci and Lucas numbers. Zbl 1363.11024 Kilic, E.; Prodinger, H. 1 2015 Asymmetric generalizations of the Filbert matrix and variants. Zbl 1367.11024 Kılıç, Emrah; Prodinger, Helmut 6 2014 Three series for the generalized golden mean. Zbl 1384.11025 Hare, Kevin; Prodinger, Helmut; Shallit, Jeffrey 5 2014 The generalized \(q\)-Pilbert matrix. Zbl 1349.05020 Kiliç, Emrah; Prodinger, Helmut 4 2014 A short proof of Carlitz’s Bernoulli number identity. Zbl 1353.11041 Prodinger, Helmut 4 2014 New multiple harmonic sum identities. Zbl 1308.11022 Tauraso, Roberto; Prodinger, Helmut 3 2014 A generalization of a conjecture of Melham. Zbl 1358.11030 Kilic, Emrah; Akkus, Ilker; Prodinger, Helmut 2 2014 The box parameter for words and permutations. Zbl 1290.05006 Prodinger, Helmut 2 2014 Asymptotic analysis of the sum of the output of transducers. Zbl 1332.68112 Heuberger, Clemens; Kropf, Sara; Prodinger, Helmut 1 2014 Variants of the Filbert matrix. Zbl 1306.11019 Kılıç, Emrah; Prodinger, Helmut 9 2013 An identity conjectured by Lacasse via the tree function. Zbl 1295.05037 Prodinger, Helmut 4 2013 The visibility parameter for words and permutations. Zbl 1258.05001 Cristea, Ligia L.; Prodinger, Helmut 4 2013 Some double binomial sums related with the Fibonacci, Pell and generalized order-\(k\) Fibonacci numbers. Zbl 1269.05003 Kılıç, Emrah; Prodinger, Helmut 3 2013 The number of Huffman codes, compact trees, and sums of unit fractions. Zbl 1364.94673 Elsholtz, Christian; Heuberger, Clemens; Prodinger, Helmut 3 2013 The largest missing value in a composition of an integer and some Allouche-Shallit-type identities. Zbl 1290.05013 Louchard, Guy; Prodinger, Helmut 2 2013 Words with a generalized restricted growth property. Zbl 1300.05011 Fuchs, Michael; Prodinger, Helmut 1 2013 Notes on protected nodes in digital search trees. Zbl 1244.05055 Du, Rosena R. X.; Prodinger, Helmut 14 2012 The \(q\)-Pilbert matrix. Zbl 1290.11026 Kılıç, Emrah; Prodinger, Helmut 8 2012 Number of survivors in the presence of a demon. Zbl 1299.05019 Louchard, Guy; Prodinger, Helmut; Ward, Mark Daniel 6 2012 On Touchard’s continued fraction and extensions: combinatorics-free, self-contained proofs. Zbl 1274.11021 Prodinger, Helmut 4 2012 On the \(m\)-enumeration of maximum and left-to-right maxima in geometrically distributed words. Zbl 1289.05014 Prodinger, Helmut 3 2012 The asymmetric leader election algorithm with Swedish stopping: a probabilistic analysis. Zbl 1283.68263 Prodinger, Helmut; Louchard, Guy 2 2012 Additive irreducibles in \(\alpha\)-expansions. Zbl 1299.11010 Grabner, Peter J.; Prodinger, Helmut 2 2012 Approximate counting via the Poisson-Laplace-Mellin method. Zbl 1296.68206 Fuchs, Michael; Lee, Chung-Kuei; Prodinger, Helmut 1 2012 Set partitions, words, and approximate counting with black holes. Zbl 1278.05021 Prodinger, Helmut 1 2012 Approximate counting with \(m\) counters: A detailed analysis. Zbl 1246.05013 Prodinger, Helmut 1 2012 Formulas for fibonomial sums with generalized Fibonacci and Lucas coefficients. Zbl 1257.11015 Kiliç, Emrah; Prodinger, Helmut; Akkus, Ilker; Ohtsuka, Hideyuki 8 2011 Redundant \(\tau \)-adic expansions. I: Non-adjacent digit sets and their applications to scalar multiplication. Zbl 1230.94003 Avanzi, Roberto; Heuberger, Clemens; Prodinger, Helmut 5 2011 Unfair permutations. Zbl 1231.05003 Prodinger, Helmut; Schneider, Carsten; Wagner, Stephan 4 2011 On some continued fraction expansions of the Rogers-Ramanujan type. Zbl 1236.33030 Gu, Nancy S. S.; Prodinger, Helmut 3 2011 Continued fractions related to \((t,q)\)-tangents and variants. Zbl 1230.05050 Prodinger, Helmut 2 2011 The Swedish leader election protocol: analysis and variations. Zbl 1430.68019 Louchard, Guy; Martínez, Conrado; Prodinger, Helmut 2 2011 Words coding set partitions. Zbl 1265.05052 Oliver, Kamilla; Prodinger, Helmut 1 2011 Identities involving harmonic numbers that are of interest for physicist. Zbl 1242.05023 Prodinger, Helmut 10 2010 A generalized Filbert matrix. Zbl 1219.11028 Kilic, Emrah; Prodinger, Helmut 9 2010 Staircase words and Chebyshev polynomials. Zbl 1299.05003 Knopfmacher, Arnold; Mansour, Toufik; Munagi, Augustine; Prodinger, Helmut 8 2010 A note on Stirling series. Zbl 1268.11036 Kuba, Markus; Prodinger, Helmut 6 2010 ...and 218 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,206 Authors 138 Prodinger, Helmut 39 Heuberger, Clemens 33 Panholzer, Alois 31 Wagner, Stephan G. 29 Kilic, Emrah 28 Knopfmacher, Arnold 25 Mahmoud, Hosam M. 23 Mansour, Toufik 22 Kuba, Markus F. 21 Hwang, Hsien-Kuei 21 Louchard, Guy 20 Szpankowski, Wojciech 19 Kirschenhofer, Peter 17 Ramírez, José Luis 15 Blecher, Aubrey 15 Chu, Wenchang 14 Drmota, Michael 14 Janson, Svante 14 Mednykh, Il’ya Aleksandrovich 13 Archibald, Margaret 13 Flajolet, Philippe 12 Flórez, Rigoberto 12 Fuchs, Michael 12 Grabner, Peter J. 12 Schneider, Carsten 11 Baril, Jean-Luc 10 Krenn, Daniel 10 Włoch, Iwona 9 Martínez, Conrado 9 Shallit, Jeffrey Outlaw 9 Tichy, Robert Franz 9 Ward, Mark Daniel 9 Yong, Xuerong 8 Allouche, Jean-Paul Simon 8 Brennan, Charlotte Alix 8 Devroye, Luc P. J. A. 8 Mednykh, Aleksandr Dmitrievich 8 Neininger, Ralph 8 Soykan, Yüksel 7 Engbers, John 7 Gittenberger, Bernhard 7 Gu, Nancy Shan Shan 7 Kropf, Sara 6 Bousquet-Mélou, Mireille 6 Chen, William Yong-Chuan 6 Fill, James Allen 6 Golin, Mordecai J. 6 Hitczenko, Paweł 6 Li, Shuchao 6 Tauraso, Roberto 5 Arıkan, Talha 5 Beaton, Nicholas R. 5 Broutin, Nicolas 5 Duch, Amalia 5 Dumas, Philippe 5 Elizalde, Sergi 5 Guo, Victor J. W. 5 Hackl, Benjamin 5 Kalpathy, Ravi 5 Kirgizov, Sergey 5 Madritsch, Manfred G. 5 Omur, Nese 5 Sokal, Alan D. 5 Sulzbach, Henning 5 Sun, Yidong 5 Taletskii, Dmitrii S. 5 Włoch, Andrzej 5 Zhu, Zhongxun 4 Adell, José Antonio 4 Bednarz, Urszula 4 Bodini, Olivier 4 Bóna, Miklós 4 Chern, Huahuai 4 Deutsch, Emeric 4 Dixit, Atul 4 Grübel, Rudolf 4 Han, Guo-Niu 4 Hua, Hongbo 4 Jacquet, Philippe 4 Kazemi, Ramin 4 Kim, Jang Soo 4 Kwon, Young Soo 4 Mignosi, Filippo 4 Munro, J. Ian 4 Oliver, Kamilla 4 Pittel, Boris G. 4 Rüschendorf, Ludger 4 Schmid, Ulrich 4 Sun, Zhi-Wei 4 Tsai, Tsung-Hsi 4 Vallée, Brigitte 4 Velandia, Fabio A. 4 Villamizar, Diego 4 Wang, Weiping 4 Yilmaz, Nazmiye 4 Zeng, Jiang 4 Zhang, Yuanping 4 Zhukovskiĭ, Maksim Evgen’evich 3 Acan, Hüseyin 3 Akkus, Ilker ...and 1,106 more Authors all top 5 Cited in 253 Serials 87 Theoretical Computer Science 73 Discrete Mathematics 36 Discrete Applied Mathematics 31 Advances in Applied Mathematics 29 The Electronic Journal of Combinatorics 28 European Journal of Combinatorics 26 Journal of Combinatorial Theory. 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Second Series 3 Online Journal of Analytic Combinatorics 3 Involve 3 Discrete Mathematics, Algorithms and Applications 3 Probability Surveys 3 Open Mathematics 3 Journal of Algebra, Combinatorics, Discrete Structures and Applications ...and 153 more Serials all top 5 Cited in 52 Fields 663 Combinatorics (05-XX) 355 Number theory (11-XX) 305 Computer science (68-XX) 230 Probability theory and stochastic processes (60-XX) 84 Special functions (33-XX) 42 Linear and multilinear algebra; matrix theory (15-XX) 36 Information and communication theory, circuits (94-XX) 35 Biology and other natural sciences (92-XX) 27 Approximations and expansions (41-XX) 25 Functions of a complex variable (30-XX) 21 Operations research, mathematical programming (90-XX) 18 Difference and functional equations (39-XX) 18 Statistics (62-XX) 16 Numerical analysis (65-XX) 13 Group theory and generalizations (20-XX) 13 Integral transforms, operational calculus (44-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Statistical mechanics, structure of matter (82-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Real functions (26-XX) 10 Measure and integration (28-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Algebraic geometry (14-XX) 7 Ordinary differential equations (34-XX) 7 Sequences, series, summability (40-XX) 7 Quantum theory (81-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 5 Field theory and polynomials (12-XX) 4 General topology (54-XX) 3 Associative rings and algebras (16-XX) 3 Category theory; homological algebra (18-XX) 3 Convex and discrete geometry (52-XX) 3 Algebraic topology (55-XX) 3 Mathematics education (97-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Partial differential equations (35-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX) Citations by Year