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## Riordan, John F.

Compute Distance To:
 Author ID: riordan.john-f Published as: Riordan, J.; Riordan, John; Riordan, John F. External Links: Wikidata · GND
 Documents Indexed: 72 Publications since 1931, including 6 Books
all top 5

#### 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

 23 Combinatorics (05-XX) 7 Number theory (11-XX) 2 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH Open

59 Publications have been cited 1,936 times in 1,738 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
The inversion enumerator for labeled trees. Zbl 0242.05004
Mallows, C. L.; Riordan, John
1968
Mappings of acyclic and parking functions. Zbl 0274.05005
Foata, Dominique; Riordan, John
1974
Inverse relations and combinatorial identities. Zbl 0128.01603
Riordan, John
1964
Ballots and trees. Zbl 0172.01601
Riordan, John
1969
Derivatives of composite functions. Zbl 0063.06505
Riordan, John
1946
Enumeration of plane trees by branches and endpoints. Zbl 0308.05115
Riordan, John
1975
Symmetry types of periodic sequences. Zbl 0105.25101
Gilbert, E. N.; Riordan, John
1961
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
Permutations without 3-sequences. Zbl 0060.02902
Riordan, John
1945
The arithmetic of Bell and Stirling numbers. Zbl 0036.02302
Becker, H. W.; Riordan, John
1948
An introduction to combinatorial analysis. Übersetzung aus dem Englischen von L. E. Sadovskij. Unter Redaktion von L. Ya. Kulikov. Zbl 0106.24001
Riordan, John
1963
Generating functions for powers of Fibonacci numbers. Zbl 0101.28801
Riordan, John
1962
The blossoming of Schröder’s fourth problem. Zbl 0375.05004
Riordan, John
1976
The enumeration of trees by height and diameter. Zbl 0097.25201
Riordan, John
1960
Moment recurrence relations for binomial, Poisson and hypergeometric frequency distributions. Zbl 0017.17503
Riordan, John
1937
The number of components in random linear graphs. Zbl 0088.11602
Austin, T. L.; Fagen, R. E.; Penney, W. F.; Riordan, John
1959
Moment recurrence relations for binomial, Poisson and hypergeometric frequency distributions. JFM 63.1084.04
Riordan, J.
1937
Enumeration of linear graphs for mappings of finite sets. Zbl 0204.57203
Riordan, John
1962
The distribution of random determinants. Zbl 0057.34905
Nyquist, H.; Rice, S. O.; Riordan, J.
1954
Congruences for Eulerian numbers. Zbl 0051.27601
Carlitz, Leonard; Riordan, John
1953
Combinatorial identities. (Kombinatornye tozhdestva). Transl. from the English. Zbl 0517.05006
Riordan, John
1982
A note on Catalan parentheses. Zbl 0301.05003
Riordan, John
1973
Three-line Latin rectangles. I, II. Zbl 0060.02807
Riordan, John
1946
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
The number of labeled two-terminal series-parallel networks. Zbl 0075.01101
Carlitz, Leonard; Riordan, John
1956
A recurrence relation for three-line latin rectangles. Zbl 0046.00802
Riordan, John
1952
Triangular permutation numbers. Zbl 0042.24803
Riordan, John
1951
The probleme des menages. Zbl 0060.02905
Kaplansky, Irving; Riordan, John
1946
Ballots and plane trees. Zbl 0231.05011
Riordan, John
1971
Arrangements on chessboards. Zbl 0259.05007
Riordan, John; Stein, Paul R.
1972
Abel identities and inverse relations. Zbl 0207.02301
Riordan, John
1969
Enumeration of certain two-line arrays. Zbl 0132.25103
Carlitz, Leonard; Riordan, John
1965
A moving single server problem. Zbl 0085.34702
McMillan, B.; Riordan, J.
1957
Discordant permutations. Zbl 0058.25003
Riordan, John
1954
Multiple matching and runs by the symbolic method. Zbl 0063.03138
Kaplansky, Irving; Riordan, John
1945
Mutual impedance of grounded wires for horizontally stratified two-layer earth. Zbl 0006.38101
Riordan, John; Sunde, Erling D.
1933
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 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
A budget of rhyme scheme counts. Zbl 0481.05005
Riordan, John
1979
Forests of label-increasing trees. Zbl 0409.05026
Riordan, John
1979
The solution of a certain recurrence. Zbl 0293.05011
Graham, R. L.; Riordan, John
1966
The enumeration of labeled trees by degrees. Zbl 0142.41301
Riordan, John
1966
A functional-difference equation. Zbl 0138.32001
Riordan, J.
1966
Generating functions. Zbl 0143.02402
Riordan, John
1964
Enumerations for permutations in difference form. Zbl 0101.25106
Riordan, John
1962
Analogue calculation of polynomial and trigonometric expansions. Zbl 0050.13305
Scherberg, Max G.; Riordan, John F.
1953
Transients in grounded wires lying on the earth’s surface. Zbl 0003.18802
Riordan, John
1931
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
A budget of rhyme scheme counts. Zbl 0481.05005
Riordan, John
1979
Forests of label-increasing trees. Zbl 0409.05026
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
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
The enumeration of labeled trees by degrees. Zbl 0142.41301
Riordan, John
1966
A functional-difference equation. Zbl 0138.32001
Riordan, J.
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
Generating functions. Zbl 0143.02402
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. Sadovskij. Unter Redaktion von L. Ya. Kulikov. 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
Three-line Latin rectangles. I, II. Zbl 0060.02807
Riordan, John
1946
The probleme des menages. Zbl 0060.02905
Kaplansky, Irving; 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. Zbl 0017.17503
Riordan, John
1937
Moment recurrence relations for binomial, Poisson and hypergeometric frequency distributions. JFM 63.1084.04
Riordan, J.
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 1,964 Authors

 30 Carlitz, Leonard 16 Chu, Wenchang 14 Charalambides, Charalambos A. 14 Chen, William Yong-Chuan 14 Riordan, John F. 13 Mansour, Toufik 13 Srivastava, Hari Mohan 12 Ricci, Paolo Emilio 12 Stanley, Richard Peter 11 Foata, Dominique C. 11 Kim, Dae San 11 Kim, Taekyun 10 Jackson, David M. 10 Shapiro, Louis W. 9 Moon, John W. 9 Munagi, Augustine O. 9 Natalini, Pierpaolo 9 Wang, Weiping 9 Yan, Catherine Huafei 8 Haglund, James 8 Ismail, Mourad El-Houssieny 8 Loehr, Nicholas A. 8 Prodinger, Helmut 8 Sprugnoli, Renzo 8 Stein, Paul R. 8 Zeng, Jiang 7 Donaghey, Robert 7 Flajolet, Philippe 7 Gessel, Ira Martin 7 Makri, Frosso S. 7 Pittel, Boris G. 7 Remmel, Jeffrey B. 7 Tanny, Stephen M. 7 Yeh, Yeong-Nan 6 Francon, Jean 6 Fu, James C. 6 Konvalina, John 6 Liu, Guodong 6 Rota, Gian-Carlo 6 Sagan, Bruce Eli 6 Simsek, Yilmaz 6 Stević, Stevo 6 Yu, Changan 5 Abate, Joseph 5 Butzer, Paul Leo 5 Farrell, Edward J. 5 Gould, Henry Wadsworth 5 Goulden, Ian P. 5 Han, Guo-Niu 5 Harary, Frank 5 Howard, Fredric T. 5 Kirschenhofer, Peter 5 Kreweras, Germain 5 Kyriakoussis, Andreas George 5 Ludkovsky, Sergey Victor 5 Ma, Jun 5 Merca, Mircea 5 Merlini, Donatella 5 Milne, Stephen C. 5 Munarini, Emanuele 5 Obaid, S. A. 5 Philippou, Andreas N. 5 Psillakis, Zaharias M. 5 Roselle, David P. 5 Szpankowski, Wojciech 5 Takács, Lajos 5 Umar, Abdullahi 5 Vignat, Christophe 5 Voblyi, Vitaliy A. 5 White, Dennis E. 5 Whitt, Ward 5 Zeilberger, Doron 4 Balakrishnan, Narayanaswamy 4 Bedrosian, Samuel D. 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 Godsil, Christopher David 4 Goldman, Jay R. 4 Good, Irving John (Jack) 4 Guo, Victor J. W. 4 Johnson, Brad C. 4 Kim, Ik-Pyo 4 Knopfmacher, Arnold 4 Komatsu, Takao 4 Konvalinka, Matjaž 4 Krattenthaler, Christian Friedrich 4 Laradji, Abdallah 4 Malinovskiĭ, Vsevolod Konstantinovich 4 Meir, Amram 4 Mihoubi, Miloud 4 Morales, Alejandro H. ...and 1,864 more Authors
all top 5

#### Cited in 362 Serials

 186 Discrete Mathematics 139 Journal of Combinatorial Theory. Series A 50 European Journal of Combinatorics 46 Advances in Applied Mathematics 38 Journal of Mathematical Analysis and Applications 32 Linear Algebra and its Applications 25 Mathematical Notes 24 Journal of Statistical Planning and Inference 23 Discrete Applied Mathematics 23 Advances in Mathematics 23 Proceedings of the American Mathematical Society 23 Transactions of the American Mathematical Society 22 Journal of Computational and Applied Mathematics 22 Communications in Statistics. Theory and Methods 21 Journal of Number Theory 21 Theoretical Computer Science 17 Annals of the Institute of Statistical Mathematics 17 Journal of Algebra 17 Journal of Combinatorial Theory. Series B 16 Statistics & Probability Letters 14 Journal of Approximation Theory 14 Queueing Systems 14 Aequationes Mathematicae 13 Applied Mathematics and Computation 13 Journal of Integer Sequences 12 Computers & Mathematics with Applications 12 The Ramanujan Journal 12 Annals of Combinatorics 11 Information Processing Letters 11 Mathematics of Computation 11 Monatshefte für Mathematik 10 Journal of the Franklin Institute 10 Mathematical Proceedings of the Cambridge Philosophical Society 10 Mathematische Nachrichten 10 Studies in Applied Mathematics 10 Graphs and Combinatorics 10 Mathematical and Computer Modelling 9 Journal of Mathematical Physics 9 Linear and Multilinear Algebra 9 Applied Mathematics Letters 9 Discrete Mathematics and Applications 9 Journal of Mathematical Sciences (New York) 9 Advances in Difference Equations 8 Periodica Mathematica Hungarica 8 Insurance Mathematics & Economics 8 Random Structures & Algorithms 8 Integral Transforms and Special Functions 8 Methodology and Computing in Applied Probability 8 Journal of the Australian Mathematical Society 7 Journal of Statistical Physics 7 Ukrainian Mathematical Journal 7 European Journal of Operational Research 7 International Journal of Computer Mathematics 6 International Journal of Mathematical Education in Science and Technology 6 Metrika 6 Rocky Mountain Journal of Mathematics 6 Mathematische Zeitschrift 6 Operations Research Letters 6 Wuhan University Journal of Natural Sciences (WUJNS) 6 Journal of High Energy Physics 6 International Journal of Number Theory 5 Communications in Algebra 5 The Mathematical Intelligencer 5 Archiv der Mathematik 5 Mathematische Annalen 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 Journal of Algebraic Combinatorics 5 Bulletin of the American Mathematical Society 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 Functional Analysis 4 Journal of Graph Theory 4 Journal of Pure and Applied Algebra 4 Quaestiones Mathematicae 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Rendiconti del Seminario Matematico della Università di Padova 4 Results in Mathematics 4 Acta Mathematica Hungarica 4 Journal of Symbolic Computation 4 The Annals of Applied Probability 4 Stochastic Processes and their Applications 4 The Electronic Journal of Combinatorics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 BIT. Nordisk Tidskrift for Informationsbehandling 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Symmetry 3 Advances in Applied Probability 3 The Canadian Journal of Statistics ...and 262 more Serials
all top 5

#### Cited in 58 Fields

 915 Combinatorics (05-XX) 381 Number theory (11-XX) 245 Probability theory and stochastic processes (60-XX) 161 Special functions (33-XX) 116 Statistics (62-XX) 103 Computer science (68-XX) 80 Linear and multilinear algebra; matrix theory (15-XX) 78 Group theory and generalizations (20-XX) 78 Numerical analysis (65-XX) 69 Operations research, mathematical programming (90-XX) 51 Approximations and expansions (41-XX) 41 Order, lattices, ordered algebraic structures (06-XX) 31 Information and communication theory, circuits (94-XX) 30 Harmonic analysis on Euclidean spaces (42-XX) 30 Quantum theory (81-XX) 28 Functions of a complex variable (30-XX) 27 Real functions (26-XX) 26 Ordinary differential equations (34-XX) 26 Difference and functional equations (39-XX) 26 Convex and discrete geometry (52-XX) 25 Commutative algebra (13-XX) 23 Statistical mechanics, structure of matter (82-XX) 23 Biology and other natural sciences (92-XX) 21 Algebraic geometry (14-XX) 21 Associative rings and algebras (16-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Partial differential equations (35-XX) 18 Operator theory (47-XX) 17 Dynamical systems and ergodic theory (37-XX) 14 Mathematical logic and foundations (03-XX) 13 Functional analysis (46-XX) 12 Field theory and polynomials (12-XX) 11 Integral transforms, operational calculus (44-XX) 11 Geometry (51-XX) 10 Nonassociative rings and algebras (17-XX) 10 Sequences, series, summability (40-XX) 10 Manifolds and cell complexes (57-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 History and biography (01-XX) 8 Integral equations (45-XX) 8 Systems theory; control (93-XX) 6 Topological groups, Lie groups (22-XX) 6 General topology (54-XX) 6 Fluid mechanics (76-XX) 6 Relativity and gravitational theory (83-XX) 5 Algebraic topology (55-XX) 4 General algebraic systems (08-XX) 4 Category theory; homological algebra (18-XX) 4 Mechanics of particles and systems (70-XX) 4 Mechanics of deformable solids (74-XX) 4 Mathematics education (97-XX) 3 General and overarching topics; collections (00-XX) 3 Measure and integration (28-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Abstract harmonic analysis (43-XX) 2 Differential geometry (53-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX)

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