## Riordan, John F.

Compute Distance To:
 Author ID: riordan.john-f Published as: Riordan, John; Riordan, J.; Riordan, John F. more...less External Links: Wikidata · GND · IdRef
 Documents Indexed: 72 Publications since 1931, including 6 Books Co-Authors: 19 Co-Authors with 24 Joint Publications 739 Co-Co-Authors
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### Co-Authors

 48 single-authored 6 Carlitz, Leonard 3 Kaplansky, Irving 2 Fagen, R. E. 2 Stein, Paul R. 1 Austin, Thomas L. jun. 1 Becker, H. W. 1 Foata, Dominique C. 1 Gilbert, Edgar Nelson 1 Graham, Ronald Lewis 1 Harary, Frank 1 Mallows, Colin Lingwood 1 McMillan, Brockway 1 Mowshowitz, Abbe 1 Nyquist, Hans 1 Penney, W. F. 1 Rice, Stephen O. 1 Scherberg, Max Goy 1 Sloane, Neil James Alexander 1 Sunde, Erling D.
all top 5

### Serials

 9 Duke Mathematical Journal 8 Journal of Combinatorial Theory 8 Annals of Mathematical Statistics 5 American Mathematical Monthly 5 Bulletin of the American Mathematical Society 3 Bell System Technical Journal 3 Journal of Combinatorial Theory. Series A 2 Discrete Mathematics 2 Acta Mathematica 2 Proceedings of the American Mathematical Society 2 Journal of the Society for Industrial & Applied Mathematics 2 Scripta Mathematica 1 Mathematics of Computation 1 American Journal of Mathematics 1 Canadian Journal of Mathematics 1 Illinois Journal of Mathematics 1 Journal of Combinatorial Theory. Series B 1 Journal of Graph Theory 1 Quarterly of Applied Mathematics 1 Aequationes Mathematicae 1 IBM Journal of Research and Development 1 Journal of the Australian Mathematical Society 1 Mathematical Tables and other Aids to Computation

### Fields

 26 Combinatorics (05-XX) 8 Number theory (11-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Special functions (33-XX)

### Citations contained in zbMATH Open

59 Publications have been cited 1,960 times in 1,767 Documents Cited by Year
An introduction to combinatorial analysis. Zbl 0078.00805
Riordan, John
1958
Combinatorial identities. Zbl 0194.00502
Riordan, John
1968
Stochastic service systems. Zbl 0106.33601
Riordan, John
1962
An introduction to combinatorial analysis. Zbl 0436.05001
Riordan, John
1980
Two element lattice permutation numbers and their $$q$$-generalization. Zbl 0126.26301
Carlitz, Leonard; Riordan, John
1964
The problem of the rooks and its applications. Zbl 0060.02903
Kaplansky, Irving; Riordan, John
1946
The distribution of crossings of chords joining pairs of $$2n$$ points on a circle. Zbl 0319.05004
Riordan, John
1975
Mappings of acyclic and parking functions. Zbl 0274.05005
Foata, Dominique; Riordan, John
1974
The inversion enumerator for labeled trees. Zbl 0242.05004
Mallows, C. L.; Riordan, John
1968
Ballots and trees. Zbl 0172.01601
Riordan, John
1969
Symmetry types of periodic sequences. Zbl 0105.25101
Gilbert, E. N.; Riordan, John
1961
Derivatives of composite functions. Zbl 0063.06505
Riordan, John
1946
Inverse relations and combinatorial identities. Zbl 0128.01603
Riordan, John
1964
Enumeration of plane trees by branches and endpoints. Zbl 0308.05115
Riordan, John
1975
The divided central differences of zero. Zbl 0108.25106
Carlitz, Leonard; Riordan, John
1963
Forests of labeled trees. Zbl 0157.55001
Riordan, John
1968
Proof of a conjecture on Genocchi numbers. Zbl 0271.05004
Riordan, John; Stein, Paul R.
1973
The arithmetic of Bell and Stirling numbers. Zbl 0036.02302
Becker, H. W.; Riordan, John
1948
Moment recurrence relations for binomial, Poisson and hypergeometric frequency distributions. JFM 63.1084.04
Riordan, J.
1937
Permutations without 3-sequences. Zbl 0060.02902
Riordan, John
1945
The blossoming of Schröder’s fourth problem. Zbl 0375.05004
Riordan, John
1976
Generating functions for powers of Fibonacci numbers. Zbl 0101.28801
Riordan, John
1962
The number of components in random linear graphs. Zbl 0088.11602
Austin, T. L.; Fagen, R. E.; Penney, W. F.; Riordan, John
1959
The enumeration of trees by height and diameter. Zbl 0097.25201
Riordan, John
1960
An introduction to combinatorial analysis. Übersetzung aus dem Englischen von L. E. Sadovskiĭ. Unter Redaktion von L. Ya. Kulikov. (Введение в комбинаторый анализ.) Zbl 0106.24001
Riordan, John
1963
Moment recurrence relations for binomial, Poisson and hypergeometric frequency distributions. Zbl 0017.17503
Riordan, John
1937
The distribution of random determinants. Zbl 0057.34905
Nyquist, H.; Rice, S. O.; Riordan, J.
1954
Combinatorial identities. (Kombinatornye tozhdestva). Transl. from the English. Zbl 0517.05006
Riordan, John
1982
Enumeration of linear graphs for mappings of finite sets. Zbl 0204.57203
Riordan, John
1962
The probleme des menages. Zbl 0060.02905
Kaplansky, Irving; Riordan, John
1946
Congruences for Eulerian numbers. Zbl 0051.27601
Carlitz, Leonard; Riordan, John
1953
Three-line Latin rectangles. I, II. Zbl 0060.02807
Riordan, John
1946
A note on Catalan parentheses. Zbl 0301.05003
Riordan, John
1973
A recurrence relation for three-line latin rectangles. Zbl 0046.00802
Riordan, John
1952
The enumeration of rooted trees by total height. Zbl 0183.28404
Riordan, John; Sloane, N. J. A.
1969
The numbers of labeled colored and chromatic trees. Zbl 0077.36801
Riordan, John
1957
Triangular permutation numbers. Zbl 0042.24803
Riordan, John
1951
Mutual impedance of grounded wires for horizontally stratified two-layer earth. Zbl 0006.38101
Riordan, John; Sunde, Erling D.
1933
Ballots and plane trees. Zbl 0231.05011
Riordan, John
1971
Enumeration of certain two-line arrays. Zbl 0132.25103
Carlitz, Leonard; Riordan, John
1965
Abel identities and inverse relations. Zbl 0207.02301
Riordan, John
1969
The number of labeled two-terminal series-parallel networks. Zbl 0075.01101
Carlitz, Leonard; Riordan, John
1956
A moving single server problem. Zbl 0085.34702
McMillan, B.; Riordan, J.
1957
Arrangements on chessboards. Zbl 0259.05007
Riordan, John; Stein, Paul R.
1972
Discordant permutations. Zbl 0058.25003
Riordan, John
1954
Multiple matching and runs by the symbolic method. Zbl 0063.03138
Kaplansky, Irving; Riordan, John
1945
Forests of label-increasing trees. Zbl 0409.05026
Riordan, John
1979
Enumerations for permutations in difference form. Zbl 0101.25106
Riordan, John
1962
The number of faces of simplicial polytopes. Zbl 0148.01103
Riordan, John
1966
A note on a q-extension of ballot numbers. Zbl 0157.03504
Riordan, John
1968
The combinatorial significance of a theorem of Pólya. Zbl 0083.00401
Riordan, John
1957
Inversion formulas in normal variable mapping. Zbl 0035.08101
Riordan, John
1949
The solution of a certain recurrence. Zbl 0293.05011
Graham, R. L.; Riordan, John
1966
A budget of rhyme scheme counts. Zbl 0481.05005
Riordan, John
1979
A functional-difference equation. Zbl 0138.32001
Riordan, J.
1966
The enumeration of labeled trees by degrees. Zbl 0142.41301
Riordan, John
1966
Enumeration of some two-line arrays by extent. Zbl 0216.01701
Carlitz, Leonard; Riordan, John
1971
Transients in grounded wires lying on the earth’s surface. Zbl 0003.18802
Riordan, John
1931
Analogue calculation of polynomial and trigonometric expansions. Zbl 0050.13305
Scherberg, Max G.; Riordan, John F.
1953
Combinatorial identities. (Kombinatornye tozhdestva). Transl. from the English. Zbl 0517.05006
Riordan, John
1982
An introduction to combinatorial analysis. Zbl 0436.05001
Riordan, John
1980
Forests of label-increasing trees. Zbl 0409.05026
Riordan, John
1979
A budget of rhyme scheme counts. Zbl 0481.05005
Riordan, John
1979
The blossoming of Schröder’s fourth problem. Zbl 0375.05004
Riordan, John
1976
The distribution of crossings of chords joining pairs of $$2n$$ points on a circle. Zbl 0319.05004
Riordan, John
1975
Enumeration of plane trees by branches and endpoints. Zbl 0308.05115
Riordan, John
1975
Mappings of acyclic and parking functions. Zbl 0274.05005
Foata, Dominique; Riordan, John
1974
Proof of a conjecture on Genocchi numbers. Zbl 0271.05004
Riordan, John; Stein, Paul R.
1973
A note on Catalan parentheses. Zbl 0301.05003
Riordan, John
1973
Arrangements on chessboards. Zbl 0259.05007
Riordan, John; Stein, Paul R.
1972
Ballots and plane trees. Zbl 0231.05011
Riordan, John
1971
Enumeration of some two-line arrays by extent. Zbl 0216.01701
Carlitz, Leonard; Riordan, John
1971
Ballots and trees. Zbl 0172.01601
Riordan, John
1969
The enumeration of rooted trees by total height. Zbl 0183.28404
Riordan, John; Sloane, N. J. A.
1969
Abel identities and inverse relations. Zbl 0207.02301
Riordan, John
1969
Combinatorial identities. Zbl 0194.00502
Riordan, John
1968
The inversion enumerator for labeled trees. Zbl 0242.05004
Mallows, C. L.; Riordan, John
1968
Forests of labeled trees. Zbl 0157.55001
Riordan, John
1968
A note on a q-extension of ballot numbers. Zbl 0157.03504
Riordan, John
1968
The number of faces of simplicial polytopes. Zbl 0148.01103
Riordan, John
1966
The solution of a certain recurrence. Zbl 0293.05011
Graham, R. L.; Riordan, John
1966
A functional-difference equation. Zbl 0138.32001
Riordan, J.
1966
The enumeration of labeled trees by degrees. Zbl 0142.41301
Riordan, John
1966
Enumeration of certain two-line arrays. Zbl 0132.25103
Carlitz, Leonard; Riordan, John
1965
Two element lattice permutation numbers and their $$q$$-generalization. Zbl 0126.26301
Carlitz, Leonard; Riordan, John
1964
Inverse relations and combinatorial identities. Zbl 0128.01603
Riordan, John
1964
The divided central differences of zero. Zbl 0108.25106
Carlitz, Leonard; Riordan, John
1963
An introduction to combinatorial analysis. Übersetzung aus dem Englischen von L. E. Sadovskiĭ. Unter Redaktion von L. Ya. Kulikov. (Введение в комбинаторый анализ.) Zbl 0106.24001
Riordan, John
1963
Stochastic service systems. Zbl 0106.33601
Riordan, John
1962
Generating functions for powers of Fibonacci numbers. Zbl 0101.28801
Riordan, John
1962
Enumeration of linear graphs for mappings of finite sets. Zbl 0204.57203
Riordan, John
1962
Enumerations for permutations in difference form. Zbl 0101.25106
Riordan, John
1962
Symmetry types of periodic sequences. Zbl 0105.25101
Gilbert, E. N.; Riordan, John
1961
The enumeration of trees by height and diameter. Zbl 0097.25201
Riordan, John
1960
The number of components in random linear graphs. Zbl 0088.11602
Austin, T. L.; Fagen, R. E.; Penney, W. F.; Riordan, John
1959
An introduction to combinatorial analysis. Zbl 0078.00805
Riordan, John
1958
The numbers of labeled colored and chromatic trees. Zbl 0077.36801
Riordan, John
1957
A moving single server problem. Zbl 0085.34702
McMillan, B.; Riordan, J.
1957
The combinatorial significance of a theorem of Pólya. Zbl 0083.00401
Riordan, John
1957
The number of labeled two-terminal series-parallel networks. Zbl 0075.01101
Carlitz, Leonard; Riordan, John
1956
The distribution of random determinants. Zbl 0057.34905
Nyquist, H.; Rice, S. O.; Riordan, J.
1954
Discordant permutations. Zbl 0058.25003
Riordan, John
1954
Congruences for Eulerian numbers. Zbl 0051.27601
Carlitz, Leonard; Riordan, John
1953
Analogue calculation of polynomial and trigonometric expansions. Zbl 0050.13305
Scherberg, Max G.; Riordan, John F.
1953
A recurrence relation for three-line latin rectangles. Zbl 0046.00802
Riordan, John
1952
Triangular permutation numbers. Zbl 0042.24803
Riordan, John
1951
Inversion formulas in normal variable mapping. Zbl 0035.08101
Riordan, John
1949
The arithmetic of Bell and Stirling numbers. Zbl 0036.02302
Becker, H. W.; Riordan, John
1948
The problem of the rooks and its applications. Zbl 0060.02903
Kaplansky, Irving; Riordan, John
1946
Derivatives of composite functions. Zbl 0063.06505
Riordan, John
1946
The probleme des menages. Zbl 0060.02905
Kaplansky, Irving; Riordan, John
1946
Three-line Latin rectangles. I, II. Zbl 0060.02807
Riordan, John
1946
Permutations without 3-sequences. Zbl 0060.02902
Riordan, John
1945
Multiple matching and runs by the symbolic method. Zbl 0063.03138
Kaplansky, Irving; Riordan, John
1945
Moment recurrence relations for binomial, Poisson and hypergeometric frequency distributions. JFM 63.1084.04
Riordan, J.
1937
Moment recurrence relations for binomial, Poisson and hypergeometric frequency distributions. Zbl 0017.17503
Riordan, John
1937
Mutual impedance of grounded wires for horizontally stratified two-layer earth. Zbl 0006.38101
Riordan, John; Sunde, Erling D.
1933
Transients in grounded wires lying on the earth’s surface. Zbl 0003.18802
Riordan, John
1931
all top 5

### Cited by 1,929 Authors

 30 Carlitz, Leonard 19 Chu, Wenchang 16 Kim, Taekyun 15 Chen, William Yong-Chuan 15 Kim, Dae San 14 Charalambides, Charalambos A. 14 Ricci, Paolo Emilio 14 Riordan, John F. 12 Mansour, Toufik 12 Srivastava, Hari Mohan 12 Stanley, Richard Peter 12 Stević, Stevo 11 Foata, Dominique C. 11 Natalini, Pierpaolo 11 Yan, Catherine Huafei 10 Jackson, David M. 9 Moon, John W. 9 Munagi, Augustine O. 9 Simsek, Yilmaz 9 Zeng, Jiang 8 Haglund, James 8 Ismail, Mourad El-Houssieny 8 Loehr, Nicholas A. 8 Munarini, Emanuele 8 Sprugnoli, Renzo 8 Stein, Paul R. 7 Donaghey, Robert 7 Flajolet, Philippe 7 Gessel, Ira Martin 7 Pittel, Boris G. 7 Prodinger, Helmut 7 Remmel, Jeffrey Brian 7 Shapiro, Louis W. 6 Francon, Jean 6 Konvalina, John 6 Liu, Guodong 6 Ma, Jun 6 Merca, Mircea 6 Merlini, Donatella 6 Rota, Gian-Carlo 6 Sagan, Bruce Eli 6 Tanny, Stephen M. 6 Yu, Changan 6 Zeilberger, Doron 5 Abate, Joseph 5 Butzer, Paul Leo 5 Farrell, Edward J. 5 Fu, James C. 5 Gould, Henry Wadsworth 5 Goulden, Ian P. 5 Han, Guo-Niu 5 Harary, Frank 5 Howard, Fredric T. 5 Kirschenhofer, Peter 5 Komatsu, Takao 5 Kyriakoussis, Andreas George 5 Ludkovsky, Sergey Victor 5 Makri, Frosso S. 5 Obaid, S. A. 5 Ramírez, José Luis 5 Roselle, David P. 5 Schlosser, Michael J. 5 Sloane, Neil James Alexander 5 Szpankowski, Wojciech 5 Takács, Lajos 5 Umar, Abdullahi 5 Vignat, Christophe 5 Whitt, Ward 5 Yeh, Yeong-Nan 4 Balakrishnan, Narayanaswamy 4 Cheng, Eddie 4 Cherruault, Yves 4 Corcino, Roberto Bagsarsa 4 Cvijović, Djurdje 4 D’Antona, Ottavio M. 4 Dehesa, Jesús S. 4 Diaconis, Persi Warren 4 Ding, Kequan 4 Dumont, Dominique 4 Ehrenborg, Richard 4 Frank, Ove 4 Good, Irving John (Jack) 4 Guo, Victor J. W. 4 Iričanin, Bratislav D. 4 Kim, Dojin 4 Kim, Ik-Pyo 4 Konvalinka, Matjaž 4 Krattenthaler, Christian Friedrich 4 Laradji, Abdallah 4 Lin, Zhicong 4 Ma, Shi-Mei 4 Malinovskiĭ, Vsevolod Konstantinovich 4 Meir, Amram 4 Milne, Stephen C. 4 Morales, Alejandro Henry 4 Mutafchiev, Lyuben R. 4 Odlyzko, Andrew M. 4 Philippou, Andreas N. 4 Pourbabai, Behnam 4 Qiu, Ke ...and 1,829 more Authors
all top 5

### Cited in 386 Serials

 173 Discrete Mathematics 126 Journal of Combinatorial Theory. Series A 52 Advances in Applied Mathematics 45 European Journal of Combinatorics 30 Journal of Mathematical Analysis and Applications 30 Linear Algebra and its Applications 25 Mathematical Notes 24 Communications in Statistics. Theory and Methods 23 Proceedings of the American Mathematical Society 23 Transactions of the American Mathematical Society 23 The Electronic Journal of Combinatorics 20 Discrete Applied Mathematics 20 Advances in Mathematics 19 Journal of Statistical Planning and Inference 19 Theoretical Computer Science 18 Journal of Computational and Applied Mathematics 17 Annals of the Institute of Statistical Mathematics 17 Journal of Algebra 17 Advances in Difference Equations 16 Journal of Number Theory 15 Journal of Integer Sequences 14 Queueing Systems 14 Aequationes Mathematicae 14 The Ramanujan Journal 13 Mathematics of Computation 13 Journal of Approximation Theory 13 Statistics & Probability Letters 12 Journal of Combinatorial Theory. Series B 12 Annals of Combinatorics 11 Applied Mathematics and Computation 11 Monatshefte für Mathematik 11 Graphs and Combinatorics 10 Mathematical Proceedings of the Cambridge Philosophical Society 10 Mathematische Nachrichten 10 Studies in Applied Mathematics 10 Journal of Mathematical Sciences (New York) 9 Computers & Mathematics with Applications 9 Information Processing Letters 9 Linear and Multilinear Algebra 9 Mathematical and Computer Modelling 9 Methodology and Computing in Applied Probability 8 Journal of Mathematical Physics 8 Periodica Mathematica Hungarica 8 Random Structures & Algorithms 8 Discrete Mathematics and Applications 8 European Journal of Operational Research 8 Integral Transforms and Special Functions 8 Journal of the Australian Mathematical Society 7 Journal of the Franklin Institute 7 Journal of Statistical Physics 7 Metrika 7 Rocky Mountain Journal of Mathematics 7 Ukrainian Mathematical Journal 7 Insurance Mathematics & Economics 7 Applied Mathematics Letters 7 International Journal of Computer Mathematics 7 Journal of Algebraic Combinatorics 7 International Journal of Number Theory 6 International Journal of Mathematical Education in Science and Technology 6 Mathematische Zeitschrift 6 Quaestiones Mathematicae 6 Operations Research Letters 6 Order 6 Wuhan University Journal of Natural Sciences (WUJNS) 6 Integers 6 Applicable Analysis and Discrete Mathematics 5 Communications in Algebra 5 The Mathematical Intelligencer 5 Archiv der Mathematik 5 Mathematische Annalen 5 Results in Mathematics 5 Siberian Mathematical Journal 5 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 5 SIAM Journal on Algebraic and Discrete Methods 5 Combinatorica 5 Constructive Approximation 5 The Annals of Applied Probability 5 The Australasian Journal of Combinatorics 5 Journal of Inequalities and Applications 5 Journal of High Energy Physics 5 Bulletin of the American Mathematical Society 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Bulletin of the Australian Mathematical Society 4 Communications in Mathematical Physics 4 Israel Journal of Mathematics 4 Problems of Information Transmission 4 Theoretical and Mathematical Physics 4 The Annals of Probability 4 Calcolo 4 Computing 4 Journal of Applied Probability 4 Journal of Graph Theory 4 Journal of Pure and Applied Algebra 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Rendiconti del Seminario Matematico della Università di Padova 4 Acta Mathematica Hungarica 4 Journal of Symbolic Computation 4 Stochastic Processes and their Applications 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 BIT. Nordisk Tidskrift for Informationsbehandling ...and 286 more Serials
all top 5

### Cited in 60 Fields

 939 Combinatorics (05-XX) 405 Number theory (11-XX) 248 Probability theory and stochastic processes (60-XX) 161 Special functions (33-XX) 112 Statistics (62-XX) 101 Computer science (68-XX) 81 Linear and multilinear algebra; matrix theory (15-XX) 76 Group theory and generalizations (20-XX) 74 Numerical analysis (65-XX) 71 Operations research, mathematical programming (90-XX) 55 Approximations and expansions (41-XX) 40 Order, lattices, ordered algebraic structures (06-XX) 33 Difference and functional equations (39-XX) 32 Quantum theory (81-XX) 30 Functions of a complex variable (30-XX) 30 Information and communication theory, circuits (94-XX) 29 Commutative algebra (13-XX) 29 Convex and discrete geometry (52-XX) 28 Ordinary differential equations (34-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 27 Real functions (26-XX) 26 Biology and other natural sciences (92-XX) 23 Algebraic geometry (14-XX) 23 Statistical mechanics, structure of matter (82-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Associative rings and algebras (16-XX) 21 Partial differential equations (35-XX) 19 Operator theory (47-XX) 18 Dynamical systems and ergodic theory (37-XX) 15 Integral transforms, operational calculus (44-XX) 14 Mathematical logic and foundations (03-XX) 14 Field theory and polynomials (12-XX) 12 Nonassociative rings and algebras (17-XX) 12 Functional analysis (46-XX) 11 Sequences, series, summability (40-XX) 10 Geometry (51-XX) 9 Manifolds and cell complexes (57-XX) 8 Integral equations (45-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Systems theory; control (93-XX) 7 History and biography (01-XX) 7 Topological groups, Lie groups (22-XX) 7 Several complex variables and analytic spaces (32-XX) 7 General topology (54-XX) 6 Fluid mechanics (76-XX) 6 Relativity and gravitational theory (83-XX) 4 General algebraic systems (08-XX) 4 Category theory; homological algebra (18-XX) 4 Algebraic topology (55-XX) 4 Mechanics of deformable solids (74-XX) 4 Mathematics education (97-XX) 3 Measure and integration (28-XX) 3 Abstract harmonic analysis (43-XX) 3 Differential geometry (53-XX) 2 General and overarching topics; collections (00-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 Calculus of variations and optimal control; optimization (49-XX)

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