×

zbMATH — the first resource for mathematics

Prodinger, Helmut

Compute Distance To:
Author ID: prodinger.helmut Recent zbMATH articles by "Prodinger, Helmut"
Published as: Prodinger, Helmut; Prodinger, H.
Homepage: http://math.sun.ac.za/~hproding/
External Links: MGP · dblp · GND
Documents Indexed: 390 Publications since 1979, including 2 Books
all top 5

Co-Authors

134 single-authored
44 Kirschenhofer, Peter
29 Heuberger, Clemens
27 Panholzer, Alois
25 Kilic, Emrah
24 Louchard, Guy
21 Grabner, Peter J.
15 Szpankowski, Wojciech
14 Knopfmacher, Arnold
11 Tichy, Robert Franz
11 Wagner, Stephan G.
8 Martínez, Conrado
7 Hackl, Benjamin
7 Oliver, Kamilla
6 Flajolet, Philippe
5 Gu, Nancy Shan Shan
5 Kropf, Sara
4 Alzer, Horst
4 Avanzi, Roberto Maria
4 Schneider, Carsten
4 Urbanek, Friedrich J.
3 Akkus, Ilker
3 Arıkan, Talha
3 Drmota, Michael
3 Kuba, Markus F.
3 Panny, Wolfgang
3 Ward, Mark Daniel
2 Archibald, Margaret
2 Aumüller, Martin
2 Blecher, Aubrey
2 Dietzfelbinger, Martin
2 Driver, Kathy A.
2 Fuchs, Michael
2 Krenn, Daniel
2 Ohtsuka, Hideyuki
2 Paule, Peter
2 Riedel, Marko
2 Selkirk, Sarah J.
2 Weideman, J. André C.
1 Andrews, George Eyre
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 Katti, Rajendra S.
1 Kuba, Michal
1 Kuich, Werner
1 Lee, Chung-Kuei
1 Lew, William
1 Mahmoud, Hosam M.
1 Mansour, Toufik
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 O.
1 Stanton, Dennis W.
1 Tauraso, Roberto
1 Thierrin, Gabriel
1 Thuswaldner, Jörg Maximilian
1 Tsifhumulo, Tuwani A.
all top 5

Serials

24 The Fibonacci Quarterly
23 Theoretical Computer Science
16 Discrete Mathematics and Theoretical Computer Science. DMTCS
16 Integers
14 Discrete Mathematics
10 Quaestiones Mathematicae
10 Algorithmica
10 Journal of Integer Sequences
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
5 Periodica Mathematica Hungarica
5 Ars Combinatoria
5 Monatshefte für Mathematik
5 Applicable Analysis and Discrete Mathematics
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
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 Special Matrices
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 RAIRO. Informatique Théorique et Applications
2 PU.M.A. Pure Mathematics and Applications
2 Filomat
2 Central European Journal of Mathematics
2 International Journal of Number Theory
2 Journal of the Iranian Statistical Society JIRSS
2 ACM Transactions on Algorithms
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
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 Graphs and Combinatorics
1 Information and Computation
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 Journal of Difference Equations and Applications
1 Southwest Journal of Pure and Applied Mathematics
1 Journal of Automata, Languages and Combinatorics
1 Electronic Journal of SADIO
1 Fundamenta Informaticae
1 Annales Mathematicae Silesianae
1 Portugaliae Mathematica. Nova Série
1 Stochastic Models
1 Missouri Journal of Mathematical Sciences
...and 9 more Serials

Publications by Year

Citations contained in zbMATH Open

272 Publications have been cited 1,373 times in 883 Documents Cited by Year
Fibonacci numbers of graphs. Zbl 0475.05046
Prodinger, Helmut; Tichy, Robert F.
78
1982
Mellin transforms and asymptotics: Digital sums. Zbl 0788.44004
Flajolet, Philippe; Grabner, Peter; Kirschenhofer, Peter; Prodinger, Helmut; Tichy, Robert F.
51
1994
Special issue: Average-case analysis of algorithms. Zbl 0969.00028
Prodinger, H. (ed.); Szpankowski, W. (ed.)
43
2001
Spanning tree formulas and Chebyshev polynomials. Zbl 0651.05028
Boesch, F. T.; Prodinger, H.
35
1986
How to select a loser. Zbl 0795.90103
Prodinger, Helmut
29
1993
On Ramanujan’s \(Q\)-function. Zbl 0826.33001
Flajolet, Philippe; Grabner, Peter J.; Kirschenhofer, Peter; Prodinger, Helmut
22
1995
On The variance of the extremal path length in a symmetric digital trie. Zbl 0685.68059
Kirschenhofer, Peter; Prodinger, Helmut; Szpankowski, Wojciech
21
1989
Combinatorics of geometrically distributed random variables: Left-to-right maxima. Zbl 0853.60006
Prodinger, Helmut
20
1996
Level of nodes in increasing trees revisited. Zbl 1131.05029
Panholzer, Alois; Prodinger, Helmut
20
2007
Asymptotics of the moments of extreme-value related distribution functions. Zbl 1117.68096
Louchard, Guy; Prodinger, Helmut
20
2006
A correspondence between ordered trees and noncrossing partitions. Zbl 0514.05008
Prodinger, Helmut
15
1983
Some information about the binomial transform. Zbl 0818.05002
Prodinger, Helmut
15
1994
On some applications of formulae of Ramanujan in the analysis of algorithms. Zbl 0765.68051
Kirschenhofer, P.; Prodinger, H.
14
1991
Analysis of alternative digit sets for nonadjacent representations. Zbl 1094.11007
Heuberger, Clemens; Prodinger, Helmut
14
2006
On monotone functions of tree structures. Zbl 0508.05042
Prodinger, Helmut; Urbanek, Friedrich J.
13
1983
Multiple Quickselect – Hoare’s Find algorithm for several elements. Zbl 0875.68313
Prodinger, Helmut
13
1995
Distribution results for low-weight binary representations for pairs of integers. Zbl 1050.94009
Grabner, Peter J.; Heuberger, Clemens; Prodinger, Helmut
13
2004
The kernel method: a collection of examples. Zbl 1063.05011
Prodinger, Helmut
13
2003
Infinite 0-1 sequences without long adjacent identical blocks. Zbl 0421.05007
Prodinger, Helmut; Urbanek, Friedrich J.
13
1979
Register allocation for unary-binary trees. Zbl 0612.68065
Flajolet, P.; Prodinger, H.
13
1986
Comparisons in Hoare’s Find algorithm. Zbl 0892.68021
Kirschenhofer, Peter; Prodinger, Helmut
13
1998
Periodic oscillations in the analysis of algorithms and their cancellations. Zbl 06657089
Prodinger, Helmut
12
2004
Padé approximations to the logarithm. III: Alternative methods and additional results. Zbl 1108.41011
Driver, Kathy; Prodinger, Helmut; Schneider, Carsten; Weideman, J. A. C.
12
2006
The sum-of-digits function for complex bases. Zbl 0959.11045
Grabner, Peter J.; Kirschenhofer, Peter; Prodinger, Helmut
11
1998
Bijections for ternary trees and non-crossing trees. Zbl 1010.05018
Panholzer, Alois; Prodinger, Helmut
11
2002
On the balance property of Patricia tries: External path length viewpoint. Zbl 0678.68042
Kirschenhofer, Peter; Prodinger, Helmut; Szpankowski, Wojciech
11
1989
Combinatorics of geometrically distributed random variables: New \(q\)-tangent and \(q\)-secant numbers. Zbl 0965.05012
Prodinger, Helmut
11
2000
On a sum of Melham and its variants. Zbl 1220.11023
Prodinger, Helmut
10
2009
On minimal expansions in redundant number systems: Algorithms and quantitative analysis. Zbl 1030.11003
Heuberger, C.; Prodinger, H.
10
2001
A result in order statistics related to probabilistic counting. Zbl 0782.60021
Kirschenhofer, P.; Prodinger, H.
10
1993
A generating functions approach for the analysis of grand averages for multiple QUICKSELECT. Zbl 0959.68513
Panholzer, Alois; Prodinger, Helmut
10
1998
On Carlitz compositions. Zbl 0902.05004
Knopfmacher, Arnold; Prodinger, Helmut
9
1998
Analysis of Hoare’s FIND algorithm with median-of-three partition. Zbl 0867.68034
Kirschenhofer, P.; Prodinger, H.; Martínez, C.
9
1997
Partial match queries in relaxed multidimensional search trees. Zbl 0967.68054
Martínez, C.; Panholzer, A.; Prodinger, H.
9
2001
The number of inversions in permutations: A saddle point approach. Zbl 1024.05006
Louchard, Guy; Prodinger, Helmut
9
2003
Padé approximations to the logarithm II: Identities, recurrences, and symbolic computation. Zbl 1102.41015
Driver, Kathy; Prodinger, Helmut; Schneider, Carsten; Weideman, J. A. C.
9
2006
Level number sequences for trees. Zbl 0634.05021
Flajolet, Philippe; Prodinger, Helmut
9
1987
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.
9
1985
Schur’s determinants and partition theorems. Zbl 0960.05008
Ismail, Mourad E. H.; Prodinger, Helmut; Stanton, Dennis
8
2000
Analysis of linear combination algorithms in cryptography. Zbl 1321.68514
Grabner, Peter J.; Heuberger, Clemens; Prodinger, Helmut; Thuswaldner, Jörg M.
8
2005
Combinatorics of geometrically distributed random variables: Value and position of the \(r\)th left-to-right maximum. Zbl 0969.60014
Knopfmacher, Arnold; Prodinger, Helmut
8
2001
Asymptotic analysis of the moments of the Cantor distribution. Zbl 0844.62016
Grabner, P. J.; Prodinger, H.
8
1996
On the moments of the sum-of-digits function. Zbl 0797.11012
Grabner, P. J.; Kirschenhofer, P.; Prodinger, H.; Tichy, R. F.
8
1993
Digital search trees again revisited: The internal path length perspective. Zbl 0819.68067
Kirschenhofer, Peter; Prodinger, Helmut; Szpankowski, Wojciech
8
1994
Notes on protected nodes in digital search trees. Zbl 1244.05055
Du, Rosena R. X.; Prodinger, Helmut
8
2012
Approximate counting: An alternative approach. Zbl 0732.68052
Kirschenhofer, Peter; Prodinger, Helmut
8
1991
Variants of the Filbert matrix. Zbl 1306.11019
Kılıç, Emrah; Prodinger, Helmut
8
2013
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
Human proofs of identities by Osburn and Schneider. Zbl 1162.05004
Prodinger, Helmut
8
2008
On gaps and unoccupied urns in sequences of geometrically distributed random variables. Zbl 1166.60005
Louchard, Guy; Prodinger, Helmut
8
2008
The asymmetric leader election algorithm: another approach. Zbl 1233.68175
Louchard, Guy; Prodinger, Helmut
8
2009
The expected height of paths for several notions of height. Zbl 0615.05028
Panny, Wolfgang; Prodinger, Helmut
8
1985
On the number of combinations without a fixed distance. Zbl 0522.05006
Prodinger, Helmut
7
1983
Spanning tree size in random binary search trees. Zbl 1126.68031
Panholzer, Alois; Prodinger, Helmut
7
2004
A bijection between directed column-convex polyominoes and ordered trees of height at most three. Zbl 1048.05024
Deutsch, Emeric; Prodinger, Helmut
7
2003
Evaluation of sums involving Gaussian \(q\)-binomial coefficients with rational weight functions. Zbl 1396.11043
Kiliç, Emrah; Prodinger, Helmut
7
2016
Generalizing the sum of digits function. Zbl 0498.10009
Prodinger, Helmut
7
1982
The \(q\)-Pilbert matrix. Zbl 1290.11026
Kılıç, Emrah; Prodinger, Helmut
7
2012
Hypothetical analyses: Approximate counting in the style of Knuth, path length in the style of Flajolet. Zbl 0747.68032
Prodinger, Helmut
7
1992
Secant and cosecant sums and Bernoulli-Nörlund polynomials. Zbl 1221.11169
Grabner, Peter J.; Prodinger, Helmut
7
2007
Formulas for fibonomial sums with generalized Fibonacci and Lucas coefficients. Zbl 1257.11015
Kiliç, Emrah; Prodinger, Helmut; Akkus, Ilker; Ohtsuka, Hideyuki
7
2011
A generalized Filbert matrix. Zbl 1219.11028
Kilic, Emrah; Prodinger, Helmut
7
2010
The number of winners in a discrete geometrically distributed sample. Zbl 0859.60009
Kirschenhofer, Peter; Prodinger, Helmut
6
1996
\(q\)-identities of Fu and Lascoux proved by the \(q\)-Rice formula. Zbl 1062.05019
Prodinger, Helmut
6
2004
The reciprocal super Catalan matrix. Zbl 1321.15027
Prodinger, Helmut
6
2015
A note on Stirling series. Zbl 1268.11036
Kuba, Markus; Prodinger, Helmut
6
2010
Some applications of the \(q\)-Rice formula. Zbl 0986.05015
Prodinger, Helmut
6
2001
Multidimensional digital searching and some new parameters in tries. Zbl 0782.68061
Kirschenhofer, Peter; Prodinger, Helmut; Szpankowski, Wojciech
6
1993
Number of survivors in the presence of a demon. Zbl 1299.05019
Louchard, Guy; Prodinger, Helmut; Ward, Mark Daniel
6
2012
Fibonacci numbers of graphs. II. Zbl 0498.05039
Kirschenhofer, Peter; Prodinger, Helmut; Tichy, Robert F.
6
1983
Carry propagation in signed digit representations. Zbl 1026.11015
Heuberger, Clemens; Prodinger, Helmut
6
2003
The number of distinct values in a geometrically distributed sample. Zbl 1102.60004
Archibald, Margaret; Knopfmacher, Arnold; Prodinger, Helmut
6
2006
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
6
2006
Identities involving harmonic numbers that are of interest for physicist. Zbl 1242.05023
Prodinger, Helmut
6
2010
The height and width of bargraphs. Zbl 1303.05045
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Prodinger, Helmut
6
2015
Closed form evaluation of sums containing squares of Fibonomial coefficients. Zbl 1389.11044
Kiliç, Emrah; Prodinger, Helmut
5
2016
The height of planted plane trees revisited. Zbl 0533.05023
Prodinger, Helmut
5
1983
On Stirling numbers for complex arguments and Hankel contours. Zbl 0921.05001
Flajolet, Philippe; Prodinger, Helmut
5
1999
Analysis of a splitting process arising in probabilistic counting and other related algorithms. Zbl 0865.68055
Kirschenhofer, Peter; Prodinger, Helmut; Szpankowski, Wojciech
5
1996
A generating function approach to random subgraphs of the \(n\)-cycle. Zbl 0938.05055
Gourdon, Xavier; Prodinger, Helmut
5
1997
Combinatorics of geometrically distributed random variables: Value and position of large left-to-right maxima. Zbl 1003.60015
Prodinger, Helmut
5
2002
Some binomial sums involving absolute values. Zbl 1336.05006
Brent, Richard P.; Ohtsuka, Hideyuki; Osborn, Judy-Anne H.; Prodinger, Helmut
5
2016
\(q\)-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
Asymptotics of the Luria-Delbrück distribution via singularity analysis. Zbl 0851.60013
Prodinger, Helmut
5
1996
On the number of Fibonacci partitions of a set. Zbl 0475.05009
Prodinger, Helmut
5
1981
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
Ascending runs of sequences of geometrically distributed random variables: A probabilistic analysis. Zbl 1023.60060
Louchard, Guy; Prodinger, Helmut
5
2003
A continued fraction expansion for a \(q\)-tangent function: an elementary proof. Zbl 1179.33026
Prodinger, Helmut
5
2008
Further results on digital search trees. Zbl 0656.68067
Kirschenhofer, Peter; Prodinger, Helmut
5
1988
A note on the distribution of the three types of nodes in uniform binary trees. Zbl 0886.05007
Prodinger, Helmut
5
1996
On the number of descendants and ascendants in random search trees. Zbl 0892.05004
Martínez, Conrado; Panholzer, Alois; Prodinger, Helmut
5
1998
On Ruehr’s identities. Zbl 06940847
Alzer, Horst; Prodinger, Helmut
4
2018
Asymmetric generalizations of the Filbert matrix and variants. Zbl 1367.11024
Kılıç, Emrah; Prodinger, Helmut
4
2014
A \(q\)-analogue of a formula of Hernandez obtained by inverting a result of Dilcher. Zbl 0951.05006
Prodinger, Helmut
4
2000
Two selection problems revisited. Zbl 0594.05003
Kirschenhofer, P.; Prodinger, H.
4
1986
Some further results on digital search trees. Zbl 0596.68053
Kirschenhofer, Peter; Prodinger, Helmut
4
1986
Identities involving rational sums by inversion and partial fraction decomposition. Zbl 1273.11034
Prodinger, Helmut
4
2008
Records in geometrically distributed words: sum of positions. Zbl 1232.60012
Prodinger, Helmut
4
2008
Formulae related to the \(q\)-Dixon formula with applications to Fibonomial sums. Zbl 1349.11028
Kiliç, E.; Prodinger, H.
4
2015
On two subclasses of Motzkin paths and their relation to ternary trees. Zbl 07293169
Prodinger, Helmut; Selkirk, Sarah J.; Wagner, Stephan
2
2020
Enumeration of S-Motzkin paths from left to right and from right to left: a kernel method approach. Zbl 07326533
Prodinger, Helmut
1
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 07306583
Prodinger, Helmut
1
2020
Sums of squares of Tetranacci numbers: a generating function approach. Zbl 1447.11032
Prodinger, Helmut; Selkirk, Sarah J.
2
2019
A wide class of combinatorial matrices related with reciprocal Pascal and super Catalan matrices. Zbl 1452.15020
Kilic, Emrah; Prodinger, Helmut
1
2019
On Ruehr’s identities. Zbl 06940847
Alzer, Horst; 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
1
2018
The necklace process: a generating function approach. Zbl 1407.60016
Hackl, Benjamin; Prodinger, Helmut
1
2018
Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions. Zbl 1427.11017
Prodinger, Helmut
3
2017
Mortenson’s identities and partial fraction decomposition. Zbl 1388.05019
Prodinger, Helmut
3
2017
Geometric random variables: descents following maxima. Zbl 1357.05005
Archibald, Margaret; Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; 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
Analysis of carries in signed digit expansions. Zbl 1419.60009
Heuberger, Clemens; Kropf, Sara; Prodinger, Helmut
1
2017
Summations in Bernoulli’s triangles via generating functions. Zbl 1352.05016
Oliver, Kamilla; 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
Evaluation of sums involving Gaussian \(q\)-binomial coefficients with rational weight functions. Zbl 1396.11043
Kiliç, Emrah; Prodinger, Helmut
7
2016
Closed form evaluation of sums containing squares of Fibonomial coefficients. Zbl 1389.11044
Kiliç, Emrah; Prodinger, Helmut
5
2016
Some binomial sums involving absolute values. Zbl 1336.05006
Brent, Richard P.; Ohtsuka, Hideyuki; Osborn, Judy-Anne H.; Prodinger, Helmut
5
2016
Identities with squares of binomial coefficients: an elementary and explicit approach. Zbl 1432.11018
Kılıç, Emrah; Prodinger, Helmut
4
2016
Analysis of bidirectional ballot sequences and random walks ending in their maximum. Zbl 1358.05019
Hackl, Benjamin; Heuberger, Clemens; Prodinger, Helmut; Wagner, Stephan
3
2016
The generalized Lilbert matrix. Zbl 1389.11045
Kılıç, Emrah; Prodinger, Helmut
2
2016
Some Gaussian binomial sum formulæ with applications. Zbl 1416.11035
Kılıç, Emrah; Prodinger, Helmut
2
2016
Returns, hills, and \(t\)-ary trees. Zbl 1348.05023
Prodinger, Helmut
1
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
1
2016
Notes on a combinatorial identity. Zbl 1360.05016
Alzer, Horst; Prodinger, Helmut
1
2016
The height of multiple edge plane trees. Zbl 1337.05055
Heuberger, Clemens; Prodinger, Helmut; Wagner, Stephan
1
2016
Factorizations related to the reciprocal Pascal matrix. Zbl 1424.15060
Prodinger, Helmut
1
2016
The reciprocal super Catalan matrix. Zbl 1321.15027
Prodinger, Helmut
6
2015
The height and width of bargraphs. Zbl 1303.05045
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Prodinger, Helmut
6
2015
Formulae related to the \(q\)-Dixon formula with applications to Fibonomial sums. Zbl 1349.11028
Kiliç, E.; Prodinger, H.
4
2015
Analytic methods. Zbl 1326.05011
Prodinger, Helmut
2
2015
Output sum of transducers: limiting distribution and periodic fluctuation. Zbl 1338.60068
Heuberger, Clemens; Kropf, Sara; Prodinger, Helmut
1
2015
Bootstrapping and double-exponential limit laws. Zbl 1311.05015
Prodinger, Helmut; Wagner, Stephan
1
2015
Asymmetric generalizations of the Filbert matrix and variants. Zbl 1367.11024
Kılıç, Emrah; Prodinger, Helmut
4
2014
Three series for the generalized golden mean. Zbl 1384.11025
Hare, Kevin; Prodinger, Helmut; Shallit, Jeffrey
3
2014
The generalized \(q\)-Pilbert matrix. Zbl 1349.05020
Kiliç, Emrah; Prodinger, Helmut
3
2014
A short proof of Carlitz’s Bernoulli number identity. Zbl 1353.11041
Prodinger, Helmut
2
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
1
2014
New multiple harmonic sum identities. Zbl 1308.11022
Tauraso, Roberto; Prodinger, Helmut
1
2014
Variants of the Filbert matrix. Zbl 1306.11019
Kılıç, Emrah; Prodinger, Helmut
8
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 visibility parameter for words and permutations. Zbl 1258.05001
Cristea, Ligia L.; 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
An identity conjectured by Lacasse via the tree function. Zbl 1295.05037
Prodinger, Helmut
2
2013
Some double binomial sums related with the Fibonacci, Pell and generalized order-\(k\) Fibonacci numbers. Zbl 1269.05003
Kılıç, Emrah; Prodinger, Helmut
1
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
8
2012
The \(q\)-Pilbert matrix. Zbl 1290.11026
Kılıç, Emrah; Prodinger, Helmut
7
2012
Number of survivors in the presence of a demon. Zbl 1299.05019
Louchard, Guy; Prodinger, Helmut; Ward, Mark Daniel
6
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
On the \(m\)-enumeration of maximum and left-to-right maxima in geometrically distributed words. Zbl 1289.05014
Prodinger, Helmut
2
2012
Approximate counting via the Poisson-Laplace-Mellin method. Zbl 1296.68206
Fuchs, Michael; Lee, Chung-Kuei; Prodinger, Helmut
1
2012
Approximate counting with \(m\) counters: A detailed analysis. Zbl 1246.05013
Prodinger, Helmut
1
2012
On Touchard’s continued fraction and extensions: combinatorics-free, self-contained proofs. Zbl 1274.11021
Prodinger, Helmut
1
2012
Set partitions, words, and approximate counting with black holes. Zbl 1278.05021
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
7
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
3
2011
Continued fractions related to \((t,q)\)-tangents and variants. Zbl 1230.05050
Prodinger, Helmut
2
2011
On some continued fraction expansions of the Rogers-Ramanujan type. Zbl 1236.33030
Gu, Nancy S. S.; Prodinger, Helmut
1
2011
Words coding set partitions. Zbl 1265.05052
Oliver, Kamilla; Prodinger, Helmut
1
2011
A generalized Filbert matrix. Zbl 1219.11028
Kilic, Emrah; Prodinger, Helmut
7
2010
A note on Stirling series. Zbl 1268.11036
Kuba, Markus; Prodinger, Helmut
6
2010
Identities involving harmonic numbers that are of interest for physicist. Zbl 1242.05023
Prodinger, Helmut
6
2010
Staircase words and Chebyshev polynomials. Zbl 1299.05003
Knopfmacher, Arnold; Mansour, Toufik; Munagi, Augustine; Prodinger, Helmut
3
2010
Continued fraction expansions for \(q\)-tangent and \(q\)-cotangent functions. Zbl 1232.33026
Prodinger, Helmut
3
2010
A proof of a conjecture of Melham. Zbl 1222.11022
Kilic, Emrah; Akkus, Ilker; Prodinger, Helmut
2
2010
One-parameter generalizations of Rogers-Ramanujan type identities. Zbl 1213.05020
Gu, Nancy S. S.; Prodinger, Helmut
1
2010
On a sum of Melham and its variants. Zbl 1220.11023
Prodinger, Helmut
10
2009
The asymmetric leader election algorithm: another approach. Zbl 1233.68175
Louchard, Guy; Prodinger, Helmut
8
2009
Moves and displacements of particular elements in quicksort. Zbl 1166.68045
Martínez, Conrado; Prodinger, Helmut
4
2009
Bijections for 2-plane trees and ternary trees. Zbl 1192.05031
Gu, Nancy S. S.; Prodinger, Helmut
3
2009
Sums of powers of Fibonacci polynomials. Zbl 1232.11020
Prodinger, Helmut
3
2009
On the shape of the fringe of various types of random trees. Zbl 1181.68334
Drmota, Michael; Gittenberger, Bernhard; Panholzer, Alois; Prodinger, Helmut; Ward, Mark Daniel
2
2009
On the expansion of Fibonacci and Lucas polynomials. Zbl 1228.11022
Prodinger, Helmut
2
2009
\(q\)-enumeration of up-down words by number of rises. Zbl 1176.05006
Cristea, Ligia L.; Prodinger, Helmut
2
2009
A simple bijection between a subclass of 2-binary trees and ternary trees. Zbl 1170.05304
Prodinger, Helmut
2
2009
Sums of Choi, Zörnig, and Rathie - an elementary approach. Zbl 1184.05012
Prodinger, Helmut
1
2009
The digit generating function of a polynomial. Zbl 1245.11019
Prodinger, Helmut; Wagner, Stephan
1
2009
Human proofs of identities by Osburn and Schneider. Zbl 1162.05004
Prodinger, Helmut
8
2008
On gaps and unoccupied urns in sequences of geometrically distributed random variables. Zbl 1166.60005
Louchard, Guy; Prodinger, Helmut
8
2008
A continued fraction expansion for a \(q\)-tangent function: an elementary proof. Zbl 1179.33026
Prodinger, Helmut
5
2008
Identities involving rational sums by inversion and partial fraction decomposition. Zbl 1273.11034
Prodinger, Helmut
4
2008
Records in geometrically distributed words: sum of positions. Zbl 1232.60012
Prodinger, Helmut
4
2008
Generalized approximate counting revisited. Zbl 1133.60302
Louchard, Guy; Prodinger, Helmut
4
2008
On a constant arising in the analysis of bit comparisons in quickselect. Zbl 1162.68458
Grabner, Peter J.; Prodinger, Helmut
2
2008
Generalized reciprocity laws for sums of harmonic numbers. Zbl 1202.68492
Kuba, Markus; Prodinger, Helmut; Schneider, Carsten
2
2008
Advancing in the presence of a demon. Zbl 1174.05008
Louchard, Guy; Prodinger, Helmut
2
2008
Generating random derangements. Zbl 1429.68160
Martínez, Conrado; Panholzer, Alois; Prodinger, Helmut
1
2008
The register function for lattice paths. Zbl 1355.05085
Louchard, Guy; Prodinger, Helmut
1
2008
Positional number systems with digits forming an arithmetic progression. Zbl 1181.11015
Heuberger, Clemens; Prodinger, Helmut; Wagner, Stephan G.
1
2008
Level of nodes in increasing trees revisited. Zbl 1131.05029
Panholzer, Alois; Prodinger, Helmut
20
2007
Secant and cosecant sums and Bernoulli-Nörlund polynomials. Zbl 1221.11169
Grabner, Peter J.; Prodinger, Helmut
7
2007
On redundant \(\tau\)-adic expansions and non-adjacent digit sets. Zbl 1161.94380
Avanzi, Roberto Maria; Heuberger, Clemens; Prodinger, Helmut
4
2007
On \(\alpha \)-greedy expansions of numbers. Zbl 1211.11012
Heuberger, Clemens; Prodinger, Helmut
4
2007
The Hamming weight of the non-adjacent-form under various input statistics. Zbl 1164.11009
Heuberger, Clemens; Prodinger, Helmut
3
2007
...and 172 more Documents
all top 5

Cited by 916 Authors

114 Prodinger, Helmut
33 Heuberger, Clemens
26 Panholzer, Alois
26 Wagner, Stephan G.
25 Kilic, Emrah
24 Mahmoud, Hosam M.
20 Louchard, Guy
19 Knopfmacher, Arnold
18 Hwang, Hsien-Kuei
18 Kirschenhofer, Peter
17 Szpankowski, Wojciech
15 Kuba, Markus F.
13 Mansour, Toufik
12 Chu, Wenchang
12 Flajolet, Philippe
11 Drmota, Michael
11 Grabner, Peter J.
11 Schneider, Carsten
10 Janson, Svante
9 Archibald, Margaret
9 Fuchs, Michael
9 Yong, Xuerong
8 Allouche, Jean-Paul Simon
8 Krenn, Daniel
8 Mednykh, Il’ya Aleksandrovich
8 Shallit, Jeffrey O.
8 Ward, Mark Daniel
8 Włoch, Iwona
7 Blecher, Aubrey
7 Martínez, Conrado
7 Neininger, Ralph
7 Tichy, Robert Franz
6 Devroye, Luc P. J. A.
6 Fill, James Allen
6 Golin, Mordecai J.
6 Gu, Nancy Shan Shan
6 Hitczenko, Paweł
6 Mednykh, Aleksandr Dmitrievich
5 Arıkan, Talha
5 Bousquet-Mélou, Mireille
5 Brennan, Charlotte Alix
5 Broutin, Nicolas
5 Chen, William Yong-Chuan
5 Engbers, John
5 Gittenberger, Bernhard
5 Guo, Victor J. W.
5 Kalpathy, Ravi
5 Kropf, Sara
5 Li, Shuchao
5 Ramírez, José Luis
5 Tauraso, Roberto
5 Zhu, Zhongxun
4 Adell, José Antonio
4 Baril, Jean-Luc
4 Bóna, Miklós
4 Chern, Huahuai
4 Dumas, Philippe
4 Flórez, Rigoberto
4 Grübel, Rudolf
4 Han, Guo-Niu
4 Hua, Hongbo
4 Madritsch, Manfred G.
4 Mignosi, Filippo
4 Oliver, Kamilla
4 Omur, Nese
4 Pittel, Boris G.
4 Rüschendorf, Ludger
4 Schmid, Ulrich
4 Sulzbach, Henning
4 Sun, Zhi-Wei
4 Vallée, Brigitte
4 Wang, Weiping
4 Włoch, Andrzej
4 Zhang, Yuanping
3 Acan, Hüseyin
3 Akkus, Ilker
3 Andriantiana, Eric Ould Dadah
3 Atajan, Talip
3 Bednarz, Urszula
3 Blieberger, Johann
3 Bourdon, Jérémie
3 Crochemore, Maxime
3 Deutsch, Emeric
3 Dixit, Atul
3 Duch, Amalia
3 Ehrenfeucht, Andrzej
3 Elizalde, Sergi
3 Galvin, David J.
3 Gouet, Raúl
3 Guo, Yuqi
3 Hackl, Benjamin
3 Hofer, Roswitha
3 Ismail, Mourad El-Houssieny
3 Itoh, Yoshiaki
3 Jacquet, Philippe
3 Javier López, F.
3 Jodrá, Pedro
3 Junes, Leandro
3 Kirgizov, Sergey
3 Knessl, Charles
...and 816 more Authors
all top 5

Cited in 204 Serials

81 Theoretical Computer Science
62 Discrete Mathematics
29 Discrete Applied Mathematics
26 European Journal of Combinatorics
25 Advances in Applied Mathematics
23 Journal of Combinatorial Theory. Series A
21 The Ramanujan Journal
20 Journal of Number Theory
17 Random Structures & Algorithms
17 Combinatorics, Probability and Computing
15 The Annals of Applied Probability
13 Annals of Combinatorics
12 Journal of Applied Probability
12 Monatshefte für Mathematik
12 Graphs and Combinatorics
12 Algorithmica
11 Statistics & Probability Letters
10 Advances in Applied Probability
10 Journal of Computational and Applied Mathematics
10 Journal de Théorie des Nombres de Bordeaux
9 Information Processing Letters
9 Applied Mathematics and Computation
9 Integers
8 Journal of Mathematical Analysis and Applications
8 Journal of Statistical Planning and Inference
8 Turkish Journal of Mathematics
8 Journal of Mathematical Chemistry
7 Quaestiones Mathematicae
7 Journal of Difference Equations and Applications
6 Mathematica Slovaca
6 Applied Mathematics Letters
6 Mathematical Problems in Engineering
6 Journal of Integer Sequences
6 International Journal of Number Theory
5 Periodica Mathematica Hungarica
5 The Annals of Probability
5 Journal of Combinatorial Theory. Series B
5 Journal of Symbolic Computation
5 International Journal of Foundations of Computer Science
5 International Journal of Computer Mathematics
5 The Electronic Journal of Combinatorics
5 Journal of Inequalities and Applications
5 Methodology and Computing in Applied Probability
5 Journal of Discrete Algorithms
5 Afrika Matematika
4 Acta Informatica
4 Rocky Mountain Journal of Mathematics
4 Mathematics of Computation
4 Computing
4 Acta Mathematica Hungarica
4 Designs, Codes and Cryptography
4 Aequationes Mathematicae
4 Linear Algebra and its Applications
4 RAIRO. Informatique Théorique et Applications
4 The Australasian Journal of Combinatorics
4 Journal of Combinatorial Optimization
4 Central European Journal of Mathematics
4 Advances in Difference Equations
4 Special Matrices
4 International Journal of Advances in Applied Mathematics and Mechanics
3 Bulletin of the Australian Mathematical Society
3 Computers & Mathematics with Applications
3 Indian Journal of Pure & Applied Mathematics
3 Journal of Approximation Theory
3 Networks
3 RAIRO, Informatique Théorique
3 Transactions of the American Mathematical Society
3 Information and Computation
3 SIAM Journal on Discrete Mathematics
3 Discrete Mathematics and Applications
3 Stochastic Processes and their Applications
3 Journal of Algebraic Combinatorics
3 Integral Transforms and Special Functions
3 Doklady Mathematics
3 Contributions to Discrete Mathematics
3 Probability Surveys
3 Open Mathematics
3 Journal of Algebra, Combinatorics, Discrete Structures and Applications
2 Journal of Mathematical Physics
2 Journal of Statistical Physics
2 Mathematical Methods in the Applied Sciences
2 Mathematical Notes
2 Annals of the Institute of Statistical Mathematics
2 BIT
2 Demonstratio Mathematica
2 Journal of Computer and System Sciences
2 Journal of Graph Theory
2 Journal of the Mathematical Society of Japan
2 Proceedings of the American Mathematical Society
2 Journal of Information & Optimization Sciences
2 SIAM Journal on Algebraic and Discrete Methods
2 Indagationes Mathematicae. New Series
2 Applicable Algebra in Engineering, Communication and Computing
2 Journal of Mathematical Sciences (New York)
2 RAIRO. Theoretical Informatics and Applications
2 Probability in the Engineering and Informational Sciences
2 Annales Mathematicae Silesianae
2 Journal of Applied Mathematics
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Journal of Applied Mathematics and Computing
...and 104 more Serials
all top 5

Cited in 49 Fields

473 Combinatorics (05-XX)
270 Number theory (11-XX)
249 Computer science (68-XX)
185 Probability theory and stochastic processes (60-XX)
61 Special functions (33-XX)
34 Information and communication theory, circuits (94-XX)
28 Linear and multilinear algebra; matrix theory (15-XX)
28 Biology and other natural sciences (92-XX)
21 Approximations and expansions (41-XX)
15 Functions of a complex variable (30-XX)
14 Statistics (62-XX)
14 Numerical analysis (65-XX)
14 Operations research, mathematical programming (90-XX)
13 Group theory and generalizations (20-XX)
13 Difference and functional equations (39-XX)
9 Algebraic geometry (14-XX)
9 Real functions (26-XX)
9 Measure and integration (28-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Dynamical systems and ergodic theory (37-XX)
7 Integral transforms, operational calculus (44-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Sequences, series, summability (40-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 Field theory and polynomials (12-XX)
4 Ordinary differential equations (34-XX)
4 Quantum theory (81-XX)
3 Associative rings and algebras (16-XX)
3 General topology (54-XX)
3 Algebraic topology (55-XX)
2 Nonassociative rings and algebras (17-XX)
2 Category theory; homological algebra (18-XX)
2 Topological groups, Lie groups (22-XX)
2 Global analysis, analysis on manifolds (58-XX)
1 General and overarching topics; collections (00-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 Operator theory (47-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 Manifolds and cell complexes (57-XX)
1 Fluid mechanics (76-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

Citations by Year