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Author ID: riordan.john-f Recent zbMATH articles by "Riordan, John F."
Published as: Riordan, John; Riordan, J.; Riordan, John F.
External Links: Wikidata · GND · IdRef
Documents Indexed: 72 Publications since 1931, including 6 Books
Co-Authors: 19 Co-Authors with 24 Joint Publications
730 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

58 Publications have been cited 1,914 times in 1,728 Documents Cited by Year
An introduction to combinatorial analysis. Zbl 0078.00805
Riordan, John
634
1958
Combinatorial identities. Zbl 0194.00502
Riordan, John
614
1968
Stochastic service systems. Zbl 0106.33601
Riordan, John
64
1962
An introduction to combinatorial analysis. Zbl 0436.05001
Riordan, John
60
1980
Two element lattice permutation numbers and their \(q\)-generalization. Zbl 0126.26301
Carlitz, Leonard; Riordan, John
39
1964
The problem of the rooks and its applications. Zbl 0060.02903
Kaplansky, Irving; Riordan, John
36
1946
The distribution of crossings of chords joining pairs of \(2n\) points on a circle. Zbl 0319.05004
Riordan, John
32
1975
Mappings of acyclic and parking functions. Zbl 0274.05005
Foata, Dominique; Riordan, John
30
1974
The inversion enumerator for labeled trees. Zbl 0242.05004
Mallows, C. L.; Riordan, John
30
1968
Ballots and trees. Zbl 0172.01601
Riordan, John
26
1969
Derivatives of composite functions. Zbl 0063.06505
Riordan, John
24
1946
Inverse relations and combinatorial identities. Zbl 0128.01603
Riordan, John
22
1964
Symmetry types of periodic sequences. Zbl 0105.25101
Gilbert, E. N.; Riordan, John
21
1961
Enumeration of plane trees by branches and endpoints. Zbl 0308.05115
Riordan, John
20
1975
The divided central differences of zero. Zbl 0108.25106
Carlitz, Leonard; Riordan, John
20
1963
Forests of labeled trees. Zbl 0157.55001
Riordan, John
18
1968
Proof of a conjecture on Genocchi numbers. Zbl 0271.05004
Riordan, John; Stein, Paul R.
15
1973
The arithmetic of Bell and Stirling numbers. Zbl 0036.02302
Becker, H. W.; Riordan, John
15
1948
Permutations without 3-sequences. Zbl 0060.02902
Riordan, John
15
1945
Moment recurrence relations for binomial, Poisson and hypergeometric frequency distributions. JFM 63.1084.04
Riordan, J.
11
1937
The number of components in random linear graphs. Zbl 0088.11602
Austin, T. L.; Fagen, R. E.; Penney, W. F.; Riordan, John
10
1959
Generating functions for powers of Fibonacci numbers. Zbl 0101.28801
Riordan, John
10
1962
The blossoming of Schröder’s fourth problem. Zbl 0375.05004
Riordan, John
9
1976
The enumeration of trees by height and diameter. Zbl 0097.25201
Riordan, John
9
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
9
1963
Combinatorial identities. (Kombinatornye tozhdestva). Transl. from the English. Zbl 0517.05006
Riordan, John
8
1982
Moment recurrence relations for binomial, Poisson and hypergeometric frequency distributions. Zbl 0017.17503
Riordan, John
8
1937
The probleme des menages. Zbl 0060.02905
Kaplansky, Irving; Riordan, John
8
1946
Congruences for Eulerian numbers. Zbl 0051.27601
Carlitz, Leonard; Riordan, John
7
1953
Enumeration of linear graphs for mappings of finite sets. Zbl 0204.57203
Riordan, John
7
1962
The distribution of random determinants. Zbl 0057.34905
Nyquist, H.; Rice, S. O.; Riordan, J.
7
1954
A note on Catalan parentheses. Zbl 0301.05003
Riordan, John
6
1973
The numbers of labeled colored and chromatic trees. Zbl 0077.36801
Riordan, John
5
1957
Triangular permutation numbers. Zbl 0042.24803
Riordan, John
5
1951
A recurrence relation for three-line latin rectangles. Zbl 0046.00802
Riordan, John
5
1952
The enumeration of rooted trees by total height. Zbl 0183.28404
Riordan, John; Sloane, N. J. A.
5
1969
Three-line Latin rectangles. I, II. Zbl 0060.02807
Riordan, John
5
1946
Ballots and plane trees. Zbl 0231.05011
Riordan, John
4
1971
Arrangements on chessboards. Zbl 0259.05007
Riordan, John; Stein, Paul R.
3
1972
Multiple matching and runs by the symbolic method. Zbl 0063.03138
Kaplansky, Irving; Riordan, John
3
1945
The number of labeled two-terminal series-parallel networks. Zbl 0075.01101
Carlitz, Leonard; Riordan, John
3
1956
A moving single server problem. Zbl 0085.34702
McMillan, B.; Riordan, J.
3
1957
Mutual impedance of grounded wires for horizontally stratified two-layer earth. Zbl 0006.38101
Riordan, John; Sunde, Erling D.
3
1933
Enumeration of certain two-line arrays. Zbl 0132.25103
Carlitz, Leonard; Riordan, John
3
1965
Abel identities and inverse relations. Zbl 0207.02301
Riordan, John
3
1969
Discordant permutations. Zbl 0058.25003
Riordan, John
3
1954
The combinatorial significance of a theorem of Pólya. Zbl 0083.00401
Riordan, John
2
1957
Enumerations for permutations in difference form. Zbl 0101.25106
Riordan, John
2
1962
Inversion formulas in normal variable mapping. Zbl 0035.08101
Riordan, John
2
1949
The number of faces of simplicial polytopes. Zbl 0148.01103
Riordan, John
2
1966
A note on a q-extension of ballot numbers. Zbl 0157.03504
Riordan, John
2
1968
The solution of a certain recurrence. Zbl 0293.05011
Graham, R. L.; Riordan, John
1
1966
Forests of label-increasing trees. Zbl 0409.05026
Riordan, John
1
1979
Transients in grounded wires lying on the earth’s surface. Zbl 0003.18802
Riordan, John
1
1931
Analogue calculation of polynomial and trigonometric expansions. Zbl 0050.13305
Scherberg, Max G.; Riordan, John F.
1
1953
A functional-difference equation. Zbl 0138.32001
Riordan, J.
1
1966
The enumeration of labeled trees by degrees. Zbl 0142.41301
Riordan, John
1
1966
A budget of rhyme scheme counts. Zbl 0481.05005
Riordan, John
1
1979
Combinatorial identities. (Kombinatornye tozhdestva). Transl. from the English. Zbl 0517.05006
Riordan, John
8
1982
An introduction to combinatorial analysis. Zbl 0436.05001
Riordan, John
60
1980
Forests of label-increasing trees. Zbl 0409.05026
Riordan, John
1
1979
A budget of rhyme scheme counts. Zbl 0481.05005
Riordan, John
1
1979
The blossoming of Schröder’s fourth problem. Zbl 0375.05004
Riordan, John
9
1976
The distribution of crossings of chords joining pairs of \(2n\) points on a circle. Zbl 0319.05004
Riordan, John
32
1975
Enumeration of plane trees by branches and endpoints. Zbl 0308.05115
Riordan, John
20
1975
Mappings of acyclic and parking functions. Zbl 0274.05005
Foata, Dominique; Riordan, John
30
1974
Proof of a conjecture on Genocchi numbers. Zbl 0271.05004
Riordan, John; Stein, Paul R.
15
1973
A note on Catalan parentheses. Zbl 0301.05003
Riordan, John
6
1973
Arrangements on chessboards. Zbl 0259.05007
Riordan, John; Stein, Paul R.
3
1972
Ballots and plane trees. Zbl 0231.05011
Riordan, John
4
1971
Ballots and trees. Zbl 0172.01601
Riordan, John
26
1969
The enumeration of rooted trees by total height. Zbl 0183.28404
Riordan, John; Sloane, N. J. A.
5
1969
Abel identities and inverse relations. Zbl 0207.02301
Riordan, John
3
1969
Combinatorial identities. Zbl 0194.00502
Riordan, John
614
1968
The inversion enumerator for labeled trees. Zbl 0242.05004
Mallows, C. L.; Riordan, John
30
1968
Forests of labeled trees. Zbl 0157.55001
Riordan, John
18
1968
A note on a q-extension of ballot numbers. Zbl 0157.03504
Riordan, John
2
1968
The number of faces of simplicial polytopes. Zbl 0148.01103
Riordan, John
2
1966
The solution of a certain recurrence. Zbl 0293.05011
Graham, R. L.; Riordan, John
1
1966
A functional-difference equation. Zbl 0138.32001
Riordan, J.
1
1966
The enumeration of labeled trees by degrees. Zbl 0142.41301
Riordan, John
1
1966
Enumeration of certain two-line arrays. Zbl 0132.25103
Carlitz, Leonard; Riordan, John
3
1965
Two element lattice permutation numbers and their \(q\)-generalization. Zbl 0126.26301
Carlitz, Leonard; Riordan, John
39
1964
Inverse relations and combinatorial identities. Zbl 0128.01603
Riordan, John
22
1964
The divided central differences of zero. Zbl 0108.25106
Carlitz, Leonard; Riordan, John
20
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
9
1963
Stochastic service systems. Zbl 0106.33601
Riordan, John
64
1962
Generating functions for powers of Fibonacci numbers. Zbl 0101.28801
Riordan, John
10
1962
Enumeration of linear graphs for mappings of finite sets. Zbl 0204.57203
Riordan, John
7
1962
Enumerations for permutations in difference form. Zbl 0101.25106
Riordan, John
2
1962
Symmetry types of periodic sequences. Zbl 0105.25101
Gilbert, E. N.; Riordan, John
21
1961
The enumeration of trees by height and diameter. Zbl 0097.25201
Riordan, John
9
1960
The number of components in random linear graphs. Zbl 0088.11602
Austin, T. L.; Fagen, R. E.; Penney, W. F.; Riordan, John
10
1959
An introduction to combinatorial analysis. Zbl 0078.00805
Riordan, John
634
1958
The numbers of labeled colored and chromatic trees. Zbl 0077.36801
Riordan, John
5
1957
A moving single server problem. Zbl 0085.34702
McMillan, B.; Riordan, J.
3
1957
The combinatorial significance of a theorem of Pólya. Zbl 0083.00401
Riordan, John
2
1957
The number of labeled two-terminal series-parallel networks. Zbl 0075.01101
Carlitz, Leonard; Riordan, John
3
1956
The distribution of random determinants. Zbl 0057.34905
Nyquist, H.; Rice, S. O.; Riordan, J.
7
1954
Discordant permutations. Zbl 0058.25003
Riordan, John
3
1954
Congruences for Eulerian numbers. Zbl 0051.27601
Carlitz, Leonard; Riordan, John
7
1953
Analogue calculation of polynomial and trigonometric expansions. Zbl 0050.13305
Scherberg, Max G.; Riordan, John F.
1
1953
A recurrence relation for three-line latin rectangles. Zbl 0046.00802
Riordan, John
5
1952
Triangular permutation numbers. Zbl 0042.24803
Riordan, John
5
1951
Inversion formulas in normal variable mapping. Zbl 0035.08101
Riordan, John
2
1949
The arithmetic of Bell and Stirling numbers. Zbl 0036.02302
Becker, H. W.; Riordan, John
15
1948
The problem of the rooks and its applications. Zbl 0060.02903
Kaplansky, Irving; Riordan, John
36
1946
Derivatives of composite functions. Zbl 0063.06505
Riordan, John
24
1946
The probleme des menages. Zbl 0060.02905
Kaplansky, Irving; Riordan, John
8
1946
Three-line Latin rectangles. I, II. Zbl 0060.02807
Riordan, John
5
1946
Permutations without 3-sequences. Zbl 0060.02902
Riordan, John
15
1945
Multiple matching and runs by the symbolic method. Zbl 0063.03138
Kaplansky, Irving; Riordan, John
3
1945
Moment recurrence relations for binomial, Poisson and hypergeometric frequency distributions. JFM 63.1084.04
Riordan, J.
11
1937
Moment recurrence relations for binomial, Poisson and hypergeometric frequency distributions. Zbl 0017.17503
Riordan, John
8
1937
Mutual impedance of grounded wires for horizontally stratified two-layer earth. Zbl 0006.38101
Riordan, John; Sunde, Erling D.
3
1933
Transients in grounded wires lying on the earth’s surface. Zbl 0003.18802
Riordan, John
1
1931
all top 5

Cited by 1,866 Authors

30 Carlitz, Leonard
18 Chu, Wenchang
15 Chen, William Yong-Chuan
14 Charalambides, Charalambos A.
14 Kim, Dae San
14 Kim, Taekyun
14 Riordan, John F.
13 Ricci, Paolo Emilio
12 Mansour, Toufik
12 Srivastava, Hari Mohan
12 Stanley, Richard Peter
12 Stević, Stevo
11 Foata, Dominique C.
11 Yan, Catherine Huafei
10 Jackson, David M.
10 Natalini, Pierpaolo
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 B.
7 Shapiro, Louis W.
6 Francon, Jean
6 Konvalina, John
6 Liu, Guodong
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 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 Kyriakoussis, Andreas George
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
4 Salas, Jesús
...and 1,766 more Authors
all top 5

Cited in 377 Serials

172 Discrete Mathematics
126 Journal of Combinatorial Theory. Series A
49 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
22 The Electronic Journal of Combinatorics
20 Advances in Mathematics
19 Journal of Statistical Planning and Inference
19 Theoretical Computer Science
18 Discrete Applied Mathematics
18 Journal of Computational and Applied Mathematics
17 Annals of the Institute of Statistical Mathematics
17 Journal of Algebra
15 Journal of Integer Sequences
15 Advances in Difference Equations
14 Journal of Number Theory
14 Queueing Systems
14 Aequationes Mathematicae
13 Mathematics of Computation
13 Journal of Approximation Theory
13 Statistics & Probability Letters
13 The Ramanujan Journal
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 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 European Journal of Operational Research
7 International Journal of Computer Mathematics
6 International Journal of Mathematical Education in Science and Technology
6 Mathematische Zeitschrift
6 Operations Research Letters
6 Journal of Algebraic Combinatorics
6 Wuhan University Journal of Natural Sciences (WUJNS)
6 International Journal of Number Theory
6 Applicable Analysis and Discrete Mathematics
5 Communications in Algebra
5 The Mathematical Intelligencer
5 Archiv der Mathematik
5 Mathematische Annalen
5 Quaestiones Mathematicae
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 Order
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 Integers
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 BIT. Nordisk Tidskrift for Informationsbehandling
...and 277 more Serials
all top 5

Cited in 60 Fields

914 Combinatorics (05-XX)
389 Number theory (11-XX)
242 Probability theory and stochastic processes (60-XX)
157 Special functions (33-XX)
108 Statistics (62-XX)
99 Computer science (68-XX)
78 Linear and multilinear algebra; matrix theory (15-XX)
76 Group theory and generalizations (20-XX)
74 Numerical analysis (65-XX)
70 Operations research, mathematical programming (90-XX)
55 Approximations and expansions (41-XX)
37 Order, lattices, ordered algebraic structures (06-XX)
32 Difference and functional equations (39-XX)
32 Quantum theory (81-XX)
30 Functions of a complex variable (30-XX)
29 Information and communication theory, circuits (94-XX)
28 Commutative algebra (13-XX)
28 Real functions (26-XX)
28 Ordinary differential equations (34-XX)
27 Harmonic analysis on Euclidean spaces (42-XX)
27 Convex and discrete geometry (52-XX)
25 Biology and other natural sciences (92-XX)
23 Statistical mechanics, structure of matter (82-XX)
23 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
21 Algebraic geometry (14-XX)
20 Associative rings and algebras (16-XX)
20 Partial differential equations (35-XX)
18 Dynamical systems and ergodic theory (37-XX)
17 Operator theory (47-XX)
14 Mathematical logic and foundations (03-XX)
14 Integral transforms, operational calculus (44-XX)
13 Sequences, series, summability (40-XX)
12 Nonassociative rings and algebras (17-XX)
12 Functional analysis (46-XX)
11 Field theory and polynomials (12-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)
7 History and biography (01-XX)
7 Topological groups, Lie groups (22-XX)
7 Systems theory; control (93-XX)
6 Several complex variables and analytic spaces (32-XX)
6 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)
2 General and overarching topics; collections (00-XX)
2 Differential geometry (53-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)

Citations by Year

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