Edit Profile (opens in new tab) Foata, Dominique C. Compute Distance To: Compute Author ID: foata.dominique-c Published as: Foata, Dominique; Foata, D.; Foata, Dominique C.; Foata, D. C. more...less Homepage: http://irmav9.u-strasbg.fr/~foata/ External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Member of Collective: Lothaire, M. Documents Indexed: 114 Publications since 1961, including 7 Books 4 Contributions as Editor · 3 Further Contributions Biographic References: 2 Publications Co-Authors: 21 Co-Authors with 86 Joint Publications 530 Co-Co-Authors all top 5 Co-Authors 33 single-authored 36 Han, Guo-Niu 11 Zeilberger, Doron 9 Schützenberger, Marcel-Paul 6 Désarménien, Jacques 5 Strehl, Volker 4 Clarke, Robert J. 3 Berstel, Jean 3 Choffrut, Christian 3 Cori, Robert 3 Fuchs, Aimé 3 Lothaire, M. 3 Lyndon, Roger C. 3 Perrin, Dominique 3 Reutenauer, Christophe 3 Rota, Gian-Carlo 3 Simon, Imre 2 Cartier, Pierre 2 Krattenthaler, Christian Friedrich 2 Lass, Bodo 2 Pin, Jean-Eric 2 Sakarovitch, Jacques 1 Andrews, George Eyre 1 Barrucand, Pierre-A. 1 Borillo, Mario 1 Cerlienco, Luigi 1 de Luca, Aldo 1 Dumont, Dominique 1 Eden, Moshé 1 Flato, Moshé 1 Fliess, Michel 1 Gadoffre, G. 1 Galperin, Charles 1 Garsia, Adriano M. 1 Gross, Maurice 1 Halle, Morris 1 Hansel, Georges 1 Harris, Zellig 1 He, Shi 1 Kerber, Adalbert 1 Kittel, B. 1 Labelle, Jacques 1 Lallement, Gerard J. 1 Lascoux, Alain 1 Leroux, Pierre 1 Lichnerowicz, Andre 1 Machi, Antonio 1 Morris, Alun O. 1 Perfect, Hazel 1 Pirillo, G. 1 Procesi, Claudio 1 Randrianarivony, Arthur 1 Restivo, Antonio 1 Riordan, John F. 1 Rosenstiehl, Pierre 1 Supper, Raphaële 1 Viennot, Xavier Gérard all top 5 Serials 18 Séminaire Lotharingien de Combinatoire 8 European Journal of Combinatorics 5 Proceedings of the American Mathematical Society 5 Advances in Applied Mathematics 4 Discrete Mathematics 4 Gazette des Mathématiciens 4 The Electronic Journal of Combinatorics 3 Journal of Combinatorial Theory. Series A 3 Lecture Notes in Mathematics 2 Bulletin de la Société Mathématique de France 2 Publications de l’Institut de Statistique de l’Université de Paris 2 Transactions of the American Mathematical Society 2 Linear Algebra and its Applications 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Journal of Difference Equations and Applications 2 The Ramanujan Journal 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 2 Encyclopedia of Mathematics and Its Applications 1 Israel Journal of Mathematics 1 Linear and Multilinear Algebra 1 Advances in Mathematics 1 Algebra Universalis 1 Bulletin of the London Mathematical Society 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Studies in Applied Mathematics 1 Theoretical Computer Science 1 Journal of Algorithms 1 SIAM Journal on Discrete Mathematics 1 Aequationes Mathematicae 1 Communications of the ACM 1 Journal of Algebraic Combinatorics 1 The Quarterly Journal of Mathematics 1 Moscow Mathematical Journal 1 Central European Journal of Mathematics 1 Mathématiques et Sciences Humaines. Mathematics and Social Sciences 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Journal of Combinatorial Theory 1 Münster Journal of Mathematics 1 Moscow Journal of Combinatorics and Number Theory all top 5 Fields 102 Combinatorics (05-XX) 26 Special functions (33-XX) 24 Number theory (11-XX) 13 Group theory and generalizations (20-XX) 8 History and biography (01-XX) 6 Probability theory and stochastic processes (60-XX) 6 Computer science (68-XX) 5 General and overarching topics; collections (00-XX) 3 Information and communication theory, circuits (94-XX) 2 Mathematical logic and foundations (03-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Difference and functional equations (39-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 96 Publications have been cited 2,277 times in 982 Documents Cited by ▼ Year ▼ Combinatorics on words. Foreword by Roger Lyndon. Zbl 0514.20045Lothaire, M. 588 1983 Combinatorics on words. Foreword by Roger Lyndon. 2nd ed. Zbl 0874.20040Lothaire, M. 271 1997 Combinatorial problems of commutation and rearrangements. (Problèmes combinatoires de commutation et réarrangements.) Zbl 0186.30101Cartier, P.; Foata, D. 228 1969 Théorie géométrique des polynômes eulériens. Zbl 0214.26202Foata, D.; Schützenberger, M.-P. 141 1970 On the Netto inversion number of a sequence. Zbl 0157.03403Foata, Dominique 81 1968 Major index and inversion number of permutations. Zbl 0319.05002Foata, Dominique; Schützenberger, Marcel-Paul 67 1978 A combinatorial proof of Bass’s evaluations of the Ihara-Selberg zeta function for graphs. Zbl 0921.05025Foata, Dominique; Zeilberger, Doron 67 1999 Denert’s permutation statistic is indeed Euler-Mahonian. Zbl 0738.05001Foata, Dominique; Zeilberger, Doron 47 1990 Rearrangements of the symmetric group and enumerative properties of the tangent and secant numbers. Zbl 0274.05007Foata, Dominique; Strehl, Volker 44 1974 Eulerian polynomials: from Euler’s time to the present. Zbl 1322.01007Foata, Dominique 36 2010 La série generatrice exponentielle dans les problèmes d’enumeration. Zbl 0325.05007Foata, Dominique 35 1974 Mappings of acyclic and parking functions. Zbl 0274.05005Foata, Dominique; Riordan, John 30 1974 Laguerre polynomials, weighted derangements, and positivity. Zbl 0662.05003Foata, Dominique; Zeilberger, Doron 30 1988 Nombres d’Euler et permutations alternantes. Zbl 0271.05005Foata, D.; Schützenberger, M.-P. 29 1973 On the rook polynomials of Ferrers relations. Zbl 0217.01802Foata, D.; Schützenberger, M. P. 26 1970 A combinational proof of the Mehler formula. Zbl 0401.33008Foata, Dominique 24 1978 Étude algébrique de certains problèmes d’analyse combinatoire et du calcul des probabilités. Zbl 0133.41304Foata, D. 21 1965 Eulerian calculus. II: An extension of Han’s fundamental transformation. Zbl 0822.05066Clarke, Robert J.; Foata, Dominique 19 1995 Distributions euleriennes et Mahoniennes sur le groupe des permutations. Zbl 0447.05004Foata, Dominique 19 1977 Polynômes de Jacobi, interpretation combinatoire et fonction generatrice. Zbl 0522.33004Foata, Dominique; Leroux, Pierre 18 1983 Fonctions symétriques et séries hypergéométriques basiques multivariées. (Symmetric functions and basic multivariate hypergeometric series). Zbl 0644.05005Désarménien, Jacques; Foata, Dominique 18 1985 A classic proof of a recurrence for a very classical sequence. Zbl 0883.05007Foata, Dominique; Zeilberger, Doron 18 1997 The signed Eulerian numbers. Zbl 0769.05094Désarménien, Jacques; Foata, Dominique 17 1992 Eulerian calculus. I: Univariable statistics. Zbl 0811.05069Clarke, Robert J.; Foata, Dominique 16 1994 Une propriété de symétrie des nombres de Genocchi. Zbl 0362.05018Dumont, Dominique; Foata, Dominique 16 1976 Eulerian calculus. III: The ubiquitous Cauchy formula. Zbl 0826.05058Clarke, Robert J.; Foata, Dominique 13 1995 Further divisibility properties of the q-tangent numbers. Zbl 0485.05007Foata, Dominique 13 1981 Fix-Mahonian calculus. III: a quadruple distribution. Zbl 1154.05004Foata, Dominique; Han, Guo-Niu 13 2008 Modèles combinatoires pour les polynômes de Meixner. Zbl 0545.05010Foata, Dominique; Labelle, Jacques 12 1983 The \(q\)-tangent and \(q\)-secant numbers via basic Eulerian polynomials. Zbl 1226.05023Foata, Dominique; Han, Guo-Niu 12 2010 Congruences for the q-secant numbers. Zbl 0455.10006Andrews, George E.; Foata, Dominique 12 1980 Enumerating k-trees. Zbl 0219.05066Foata, D. 11 1971 New permutation coding and equidistribution of set-valued statistics. Zbl 1203.05006Foata, Dominique; Han, Guo-Niu 11 2009 Minimax trees and André polynomials. (Arbres minimax et polynômes d’André.) Zbl 0992.05013Foata, Dominique; Han, Guo-Niu 11 2001 Some Hermite polynomial identities and their combinatorics. Zbl 0475.33006Foata, Dominique 11 1981 Une démonstration combinatoire de l’identité de Pfaff-Saalschütz. Zbl 0534.33001Foata, Dominique 10 1983 Signed words and permutations. V: A sextuple distribution. Zbl 1215.05012Foata, Dominique; Han, Guo-Niu 10 2009 Babson-Steingrímsson statistics are indeed Mahonian (and sometimes even Euler-Mahonian). Zbl 0994.05006Foata, Dominique; Zeilberger, Doron 10 2001 Signed words and permutations. I: A fundamental transformation. Zbl 1107.05004Foata, Dominique; Han, Guo-Niu 9 2007 Réarrangements de fonctions et dénombrement. Zbl 0216.29803Foata, Dominique; Fuchs, Aimé 8 1970 Graphical major indices. Zbl 0856.05006Foata, Dominique; Zeilberger, Doron 8 1996 A noncommutative version of the matrix inversion formula. Zbl 0418.15004Foata, Dominique 8 1979 A combinatorial proof of Jacobi’s identity. Zbl 0448.05006Foata, Dominique 8 1980 A new proof of the Garoufalidis-Lê-Zeilberger quantum MacMahon master theorem. Zbl 1108.05014Foata, Dominique; Han, Guo-Niu 8 2007 Graphical major indices. II. Zbl 0855.05005Foata, Dominique; Krattenthaler, Christian 7 1995 The doubloon polynomial triangle. Zbl 1218.05013Foata, Dominique; Han, Guo-Niu 7 2010 The decrease value theorem with an application to permutation statistics. Zbl 1227.05038Foata, Dominique; Han, Guo-Niu 7 2011 Doubloons and new \(Q\)-tangent numbers. Zbl 1225.05031Foata, Dominique; Han, Guo-Niu 7 2011 Euler numbers and variations of permutations. Zbl 0361.05010Foata, Dominique; Strehl, Volker 7 1976 Fix-Mahonian calculus. I: Two transformations. Zbl 1168.05006Foata, Dominique; Han, Guo-Niu 7 2008 Signed words and permutations. II: The Euler-Mahonian polynomials. Zbl 1078.05004Foata, Dominique; Han, Guo-Niu 7 2005 André permutation calculus: a twin Seidel matrix sequence. Zbl 1350.05005Foata, Dominique; Han, Guo-Niu 6 2016 Multibasic Eulerian polynomials. Zbl 0790.05003Foata, Dominique; Zeilberger, Doron 5 1991 Combinatoire des identités sur les polynômes orthogonaux. (Combinatorics of identities on orthogonal polynomials). Zbl 0595.05008Foata, Dominique 5 1984 Combinatorics of Laguerre polynomials. Zbl 0551.05018Foata, Dominique; Strehl, Volker 5 1984 Geometric theory of Eulerian polynomials. Revised version of the original published by Springer 1970. (Théorie géométrique des polynômes eulériens.) Zbl 1083.05002Foata, Dominique; Schützenberger, Marcel-P. 5 2005 Signed words and permutations. III: The MacMahon Verfahren. Zbl 1085.05003Foata, Dominique; Han, Guo-Niu 5 2005 The collector’s brotherhood problem using the Newman-Shepp symbolic method. Zbl 1091.05004Foata, Dominique; Zeilberger, Doron 5 2003 The hyperharmonic numbers and the phratry of the coupon collector. (Les nombres hyperharmoniques et la fratrie du collectionneur de vignettes.) Zbl 0981.05008Foata, Dominique; Han, Guo-Niu; Lass, Bodo 5 2001 Signed words and permutations. IV: Fixed and pixed points. Zbl 1143.05003Foata, Dominique; Han, Guo-Niu 5 2008 Finite difference calculus for alternating permutations. Zbl 1284.39001Foata, Dominique; Han, Guo-Niu 5 2013 Specializations and extensions of the quantum MacMahon master theorem. Zbl 1115.05007Foata, Dominique; Han, Guo-Niu 4 2007 Doubloons and \(q\)-secant numbers. Zbl 1238.05011Foata, Dominique; Han, Guo-Niu 4 2010 Groupes de rearrangements et nombres d’Euler. Zbl 0269.20006Foata, Dominique 4 1972 A new transformation for set-theoretic Euler-Mahonian statistics. (Une nouvelle transformation pour les statistiques Euler-Mahoniennes ensemblistes.) Zbl 1059.05013Foata, Dominique; Han, Guo-Niu 4 2004 The triple, quintuple and setuple product identities revisited. Zbl 0923.11143Foata, Dominique; Han, Guo-Niu 4 1999 A basis for the right quantum algebra and the “\(1= q\)” principle. Zbl 1145.05004Foata, Dominique; Han, Guo-Niu 4 2008 Statistiques d’ordre sur les permutations colorées. (Order statistics on coloured permutations). Zbl 0742.05082Désarménien, Jacques; Foata, Dominique 3 1991 The Euler-Mahonian distributions over the words. (Les distributions euler-mahoniennes sur les mots.) Zbl 0829.05058Foata, Dominique 3 1995 Basic calculus of signed permutations. I: Length and number of inversions. (Calcul basique des permutations signées. I: Longueur et nombre d’inversions.) Zbl 0870.05001Foata, Dominique; Han, Guo-Niu 3 1997 On the principle of equivalence of Sparre Andersen. Zbl 0323.60004Foata, D.; Schützenberger, M. P. 3 1971 Une extension multilineaire de la formule d’Erdelyi pour les produits de fonctions hypergeometriques confluentes. Zbl 0478.33008Foata, Dominique; Strehl, Volker 3 1981 Commutation and rearrangements. An electronic reedition of the monograph ‘Problèmes combinatoires de commutation et réarrangements’ published by Springer 1969. With three new appendices by D. Foata, B. Lass and Ch. Krattenthaler. Zbl 1364.05001Cartier, Pierre; Foata, Dominique 3 2006 Combinatorial proofs of Capelli’s and Turnbull’s identities from classical invariant theory. Zbl 0810.05008Foata, Dominique; Zeilberger, Doron 2 1994 Words. Miscellany offered to M.-P. Schützenberger. (Mots. Mélanges offerts à M.-P. Schützenberger.) Zbl 0862.05001 2 1990 Decreases and descents in words. Zbl 1179.05007Foata, Dominique; Han, Guo-Niu 2 2007 Combinatoire et représentation du groupe symétrique. Actes de la Table Ronde du C.N.R.S. tenue à l’Université Louis-Pasteur de Strasbourg, 26 au 30 avril 1976. Zbl 0342.00005 2 1977 Fix-Mahonian calculus. II: Further statistics. Zbl 1152.05008Foata, Dominique; Han, Guo-Niu 2 2008 Tree calculus for bivariate difference equations. Zbl 1306.05008Foata, Dominique; Han, Guo-Niu 2 2014 Secant tree calculus. Zbl 1297.05017Foata, Dominique; Han, Guo-Niu 2 2014 Seidel triangle sequences and Bi-Entringer numbers. Zbl 1300.05010Foata, Dominique; Han, Guo-Niu 2 2014 Eulerian calculus. IV: Specializations. Zbl 0856.05098Clarke, Robert J.; Foata, Dominique 1 1994 Inverses of words. Zbl 0886.05010Foata, Dominique; Han, Guo-Niu 1 1997 Word straightening and \(q\)-Eulerian calculus. Zbl 0958.05005Foata, Dominique; Han, Guo-Niu 1 2000 Fonctions symétriques et séries hypergéométriques basiques multivariées. II. (Symmetric functions and basic multivariate hypergeometric series. II). Zbl 0644.05006Désarménien, Jacques; Foata, Dominique 1 1986 Basic calculus of signed permutations. II: Finite analogues of Bessel functions. (Calcul basique des permutations signées. II: Analogues finis des fonctions de Bessel.) Zbl 0885.05009Foata, Dominique; Han, Guo-Niu 1 1997 Propriétés arithmétiques des polynômes d’Euler. Zbl 0272.05006Foata, Dominique 1 1969 Two oiseau decompositions of permutations and their application to Eulerian calculus. Zbl 1083.05003Foata, Dominique; Randrianarivony, Arthur 1 2006 Herbert Owen Foulkes. Zbl 0411.01013Foata, D.; Morris, A. O.; Perfect, Hazel 1 1979 A matrix-analog for Viennot’s construction of the Robinson correspondence. Zbl 0424.15015Foata, Dominique 1 1979 A combinatorial approach to the Mehler formulas for Hermite polynomials. Zbl 0458.33012Foata, Dominique; Garsia, Adriano M. 1 1979 Obituary: Raymond Gérard (1932–2000). Zbl 1388.01022Foata, Dominique 1 2000 Combinatorial proofs of Capelli’s and Turnbull’s identities from classical invariant theory. Zbl 0981.05513Foata, Dominique; Zeilberger, Doron 1 1990 Linearization coefficients for the Jacobi polynomials. Zbl 1060.33501Foata, Dominique; Zeilberger, Doron 1 1987 Eulerian polynomials, from Euler to Carlitz. (Les polynômes eulériens, d’Euler à Carlitz.) Zbl 1379.01012Foata, Dominique 1 2015 Sur un enonce de MacMahon. Zbl 0121.25906Foata, D. 1 1964 André permutation calculus: a twin Seidel matrix sequence. Zbl 1350.05005Foata, Dominique; Han, Guo-Niu 6 2016 Eulerian polynomials, from Euler to Carlitz. (Les polynômes eulériens, d’Euler à Carlitz.) Zbl 1379.01012Foata, Dominique 1 2015 Tree calculus for bivariate difference equations. Zbl 1306.05008Foata, Dominique; Han, Guo-Niu 2 2014 Secant tree calculus. Zbl 1297.05017Foata, Dominique; Han, Guo-Niu 2 2014 Seidel triangle sequences and Bi-Entringer numbers. Zbl 1300.05010Foata, Dominique; Han, Guo-Niu 2 2014 Finite difference calculus for alternating permutations. Zbl 1284.39001Foata, Dominique; Han, Guo-Niu 5 2013 The decrease value theorem with an application to permutation statistics. Zbl 1227.05038Foata, Dominique; Han, Guo-Niu 7 2011 Doubloons and new \(Q\)-tangent numbers. Zbl 1225.05031Foata, Dominique; Han, Guo-Niu 7 2011 Eulerian polynomials: from Euler’s time to the present. Zbl 1322.01007Foata, Dominique 36 2010 The \(q\)-tangent and \(q\)-secant numbers via basic Eulerian polynomials. Zbl 1226.05023Foata, Dominique; Han, Guo-Niu 12 2010 The doubloon polynomial triangle. Zbl 1218.05013Foata, Dominique; Han, Guo-Niu 7 2010 Doubloons and \(q\)-secant numbers. Zbl 1238.05011Foata, Dominique; Han, Guo-Niu 4 2010 New permutation coding and equidistribution of set-valued statistics. Zbl 1203.05006Foata, Dominique; Han, Guo-Niu 11 2009 Signed words and permutations. V: A sextuple distribution. Zbl 1215.05012Foata, Dominique; Han, Guo-Niu 10 2009 Fix-Mahonian calculus. III: a quadruple distribution. Zbl 1154.05004Foata, Dominique; Han, Guo-Niu 13 2008 Fix-Mahonian calculus. I: Two transformations. Zbl 1168.05006Foata, Dominique; Han, Guo-Niu 7 2008 Signed words and permutations. IV: Fixed and pixed points. Zbl 1143.05003Foata, Dominique; Han, Guo-Niu 5 2008 A basis for the right quantum algebra and the “\(1= q\)” principle. Zbl 1145.05004Foata, Dominique; Han, Guo-Niu 4 2008 Fix-Mahonian calculus. II: Further statistics. Zbl 1152.05008Foata, Dominique; Han, Guo-Niu 2 2008 Signed words and permutations. I: A fundamental transformation. Zbl 1107.05004Foata, Dominique; Han, Guo-Niu 9 2007 A new proof of the Garoufalidis-Lê-Zeilberger quantum MacMahon master theorem. Zbl 1108.05014Foata, Dominique; Han, Guo-Niu 8 2007 Specializations and extensions of the quantum MacMahon master theorem. Zbl 1115.05007Foata, Dominique; Han, Guo-Niu 4 2007 Decreases and descents in words. Zbl 1179.05007Foata, Dominique; Han, Guo-Niu 2 2007 Commutation and rearrangements. An electronic reedition of the monograph ‘Problèmes combinatoires de commutation et réarrangements’ published by Springer 1969. With three new appendices by D. Foata, B. Lass and Ch. Krattenthaler. Zbl 1364.05001Cartier, Pierre; Foata, Dominique 3 2006 Two oiseau decompositions of permutations and their application to Eulerian calculus. Zbl 1083.05003Foata, Dominique; Randrianarivony, Arthur 1 2006 Signed words and permutations. II: The Euler-Mahonian polynomials. Zbl 1078.05004Foata, Dominique; Han, Guo-Niu 7 2005 Geometric theory of Eulerian polynomials. Revised version of the original published by Springer 1970. (Théorie géométrique des polynômes eulériens.) Zbl 1083.05002Foata, Dominique; Schützenberger, Marcel-P. 5 2005 Signed words and permutations. III: The MacMahon Verfahren. Zbl 1085.05003Foata, Dominique; Han, Guo-Niu 5 2005 A new transformation for set-theoretic Euler-Mahonian statistics. (Une nouvelle transformation pour les statistiques Euler-Mahoniennes ensemblistes.) Zbl 1059.05013Foata, Dominique; Han, Guo-Niu 4 2004 The collector’s brotherhood problem using the Newman-Shepp symbolic method. Zbl 1091.05004Foata, Dominique; Zeilberger, Doron 5 2003 Minimax trees and André polynomials. (Arbres minimax et polynômes d’André.) Zbl 0992.05013Foata, Dominique; Han, Guo-Niu 11 2001 Babson-Steingrímsson statistics are indeed Mahonian (and sometimes even Euler-Mahonian). Zbl 0994.05006Foata, Dominique; Zeilberger, Doron 10 2001 The hyperharmonic numbers and the phratry of the coupon collector. (Les nombres hyperharmoniques et la fratrie du collectionneur de vignettes.) Zbl 0981.05008Foata, Dominique; Han, Guo-Niu; Lass, Bodo 5 2001 Word straightening and \(q\)-Eulerian calculus. Zbl 0958.05005Foata, Dominique; Han, Guo-Niu 1 2000 Obituary: Raymond Gérard (1932–2000). Zbl 1388.01022Foata, Dominique 1 2000 A combinatorial proof of Bass’s evaluations of the Ihara-Selberg zeta function for graphs. Zbl 0921.05025Foata, Dominique; Zeilberger, Doron 67 1999 The triple, quintuple and setuple product identities revisited. Zbl 0923.11143Foata, Dominique; Han, Guo-Niu 4 1999 Combinatorics on words. Foreword by Roger Lyndon. 2nd ed. Zbl 0874.20040Lothaire, M. 271 1997 A classic proof of a recurrence for a very classical sequence. Zbl 0883.05007Foata, Dominique; Zeilberger, Doron 18 1997 Basic calculus of signed permutations. I: Length and number of inversions. (Calcul basique des permutations signées. I: Longueur et nombre d’inversions.) Zbl 0870.05001Foata, Dominique; Han, Guo-Niu 3 1997 Inverses of words. Zbl 0886.05010Foata, Dominique; Han, Guo-Niu 1 1997 Basic calculus of signed permutations. II: Finite analogues of Bessel functions. (Calcul basique des permutations signées. II: Analogues finis des fonctions de Bessel.) Zbl 0885.05009Foata, Dominique; Han, Guo-Niu 1 1997 Graphical major indices. Zbl 0856.05006Foata, Dominique; Zeilberger, Doron 8 1996 Eulerian calculus. II: An extension of Han’s fundamental transformation. Zbl 0822.05066Clarke, Robert J.; Foata, Dominique 19 1995 Eulerian calculus. III: The ubiquitous Cauchy formula. Zbl 0826.05058Clarke, Robert J.; Foata, Dominique 13 1995 Graphical major indices. II. Zbl 0855.05005Foata, Dominique; Krattenthaler, Christian 7 1995 The Euler-Mahonian distributions over the words. (Les distributions euler-mahoniennes sur les mots.) Zbl 0829.05058Foata, Dominique 3 1995 Eulerian calculus. I: Univariable statistics. Zbl 0811.05069Clarke, Robert J.; Foata, Dominique 16 1994 Combinatorial proofs of Capelli’s and Turnbull’s identities from classical invariant theory. Zbl 0810.05008Foata, Dominique; Zeilberger, Doron 2 1994 Eulerian calculus. IV: Specializations. Zbl 0856.05098Clarke, Robert J.; Foata, Dominique 1 1994 The signed Eulerian numbers. Zbl 0769.05094Désarménien, Jacques; Foata, Dominique 17 1992 Multibasic Eulerian polynomials. Zbl 0790.05003Foata, Dominique; Zeilberger, Doron 5 1991 Statistiques d’ordre sur les permutations colorées. (Order statistics on coloured permutations). Zbl 0742.05082Désarménien, Jacques; Foata, Dominique 3 1991 Denert’s permutation statistic is indeed Euler-Mahonian. Zbl 0738.05001Foata, Dominique; Zeilberger, Doron 47 1990 Words. Miscellany offered to M.-P. Schützenberger. (Mots. Mélanges offerts à M.-P. Schützenberger.) Zbl 0862.05001 2 1990 Combinatorial proofs of Capelli’s and Turnbull’s identities from classical invariant theory. Zbl 0981.05513Foata, Dominique; Zeilberger, Doron 1 1990 Laguerre polynomials, weighted derangements, and positivity. Zbl 0662.05003Foata, Dominique; Zeilberger, Doron 30 1988 Linearization coefficients for the Jacobi polynomials. Zbl 1060.33501Foata, Dominique; Zeilberger, Doron 1 1987 Fonctions symétriques et séries hypergéométriques basiques multivariées. II. (Symmetric functions and basic multivariate hypergeometric series. II). Zbl 0644.05006Désarménien, Jacques; Foata, Dominique 1 1986 Fonctions symétriques et séries hypergéométriques basiques multivariées. (Symmetric functions and basic multivariate hypergeometric series). Zbl 0644.05005Désarménien, Jacques; Foata, Dominique 18 1985 Combinatoire des identités sur les polynômes orthogonaux. (Combinatorics of identities on orthogonal polynomials). Zbl 0595.05008Foata, Dominique 5 1984 Combinatorics of Laguerre polynomials. Zbl 0551.05018Foata, Dominique; Strehl, Volker 5 1984 Combinatorics on words. Foreword by Roger Lyndon. Zbl 0514.20045Lothaire, M. 588 1983 Polynômes de Jacobi, interpretation combinatoire et fonction generatrice. Zbl 0522.33004Foata, Dominique; Leroux, Pierre 18 1983 Modèles combinatoires pour les polynômes de Meixner. Zbl 0545.05010Foata, Dominique; Labelle, Jacques 12 1983 Une démonstration combinatoire de l’identité de Pfaff-Saalschütz. Zbl 0534.33001Foata, Dominique 10 1983 Further divisibility properties of the q-tangent numbers. Zbl 0485.05007Foata, Dominique 13 1981 Some Hermite polynomial identities and their combinatorics. Zbl 0475.33006Foata, Dominique 11 1981 Une extension multilineaire de la formule d’Erdelyi pour les produits de fonctions hypergeometriques confluentes. Zbl 0478.33008Foata, Dominique; Strehl, Volker 3 1981 Congruences for the q-secant numbers. Zbl 0455.10006Andrews, George E.; Foata, Dominique 12 1980 A combinatorial proof of Jacobi’s identity. Zbl 0448.05006Foata, Dominique 8 1980 A noncommutative version of the matrix inversion formula. Zbl 0418.15004Foata, Dominique 8 1979 Herbert Owen Foulkes. Zbl 0411.01013Foata, D.; Morris, A. O.; Perfect, Hazel 1 1979 A matrix-analog for Viennot’s construction of the Robinson correspondence. Zbl 0424.15015Foata, Dominique 1 1979 A combinatorial approach to the Mehler formulas for Hermite polynomials. Zbl 0458.33012Foata, Dominique; Garsia, Adriano M. 1 1979 Major index and inversion number of permutations. Zbl 0319.05002Foata, Dominique; Schützenberger, Marcel-Paul 67 1978 A combinational proof of the Mehler formula. Zbl 0401.33008Foata, Dominique 24 1978 Distributions euleriennes et Mahoniennes sur le groupe des permutations. Zbl 0447.05004Foata, Dominique 19 1977 Combinatoire et représentation du groupe symétrique. Actes de la Table Ronde du C.N.R.S. tenue à l’Université Louis-Pasteur de Strasbourg, 26 au 30 avril 1976. Zbl 0342.00005 2 1977 Une propriété de symétrie des nombres de Genocchi. Zbl 0362.05018Dumont, Dominique; Foata, Dominique 16 1976 Euler numbers and variations of permutations. Zbl 0361.05010Foata, Dominique; Strehl, Volker 7 1976 Rearrangements of the symmetric group and enumerative properties of the tangent and secant numbers. Zbl 0274.05007Foata, Dominique; Strehl, Volker 44 1974 La série generatrice exponentielle dans les problèmes d’enumeration. Zbl 0325.05007Foata, Dominique 35 1974 Mappings of acyclic and parking functions. Zbl 0274.05005Foata, Dominique; Riordan, John 30 1974 Nombres d’Euler et permutations alternantes. Zbl 0271.05005Foata, D.; Schützenberger, M.-P. 29 1973 Groupes de rearrangements et nombres d’Euler. Zbl 0269.20006Foata, Dominique 4 1972 Enumerating k-trees. Zbl 0219.05066Foata, D. 11 1971 On the principle of equivalence of Sparre Andersen. Zbl 0323.60004Foata, D.; Schützenberger, M. P. 3 1971 Théorie géométrique des polynômes eulériens. Zbl 0214.26202Foata, D.; Schützenberger, M.-P. 141 1970 On the rook polynomials of Ferrers relations. Zbl 0217.01802Foata, D.; Schützenberger, M. P. 26 1970 Réarrangements de fonctions et dénombrement. Zbl 0216.29803Foata, Dominique; Fuchs, Aimé 8 1970 Combinatorial problems of commutation and rearrangements. (Problèmes combinatoires de commutation et réarrangements.) Zbl 0186.30101Cartier, P.; Foata, D. 228 1969 Propriétés arithmétiques des polynômes d’Euler. Zbl 0272.05006Foata, Dominique 1 1969 On the Netto inversion number of a sequence. Zbl 0157.03403Foata, Dominique 81 1968 Étude algébrique de certains problèmes d’analyse combinatoire et du calcul des probabilités. Zbl 0133.41304Foata, D. 21 1965 Sur un enonce de MacMahon. Zbl 0121.25906Foata, D. 1 1964 all cited Publications top 5 cited Publications all top 5 Cited by 871 Authors 42 Sato, Iwao 41 Zeng, Jiang 40 Foata, Dominique C. 31 Han, Guo-Niu 22 Lin, Zhicong 21 Zeilberger, Doron 16 Chen, William Yong-Chuan 16 Gessel, Ira Martin 15 Ma, Shi-Mei 14 Mizuno, Hirobumi 13 Eu, Sen-Peng 13 Yeh, Yeong-Nan 12 Fu, Shishuo 11 Remmel, Jeffrey B. 10 Duchamp, Gerard Henry Edmond 10 Fu, Tung-Shan 10 Ismail, Mourad El-Houssieny 10 Konno, Norio 10 Rawlings, Don 9 Jackson, David M. 9 Roichman, Yuval 9 Strehl, Volker 8 Abbes, Samy 8 Adin, Ron M. 8 Diekert, Volker 8 Haglund, James 8 Ma, Jun 8 Mitsuhashi, Hideo 8 Stanton, Dennis W. 8 Viennot, Xavier Gérard 7 Biagioli, Riccardo 7 Brenti, Francesco 7 Cori, Robert 7 Labelle, Jacques 7 Morita, Hideaki 7 Petersen, T. Kyle 7 Vajnovszki, Vincent 7 Wachs, Michelle Lynn 7 White, Dennis E. 6 Corteel, Sylvie 6 Désarménien, Jacques 6 Ehrenborg, Richard 6 Flajolet, Philippe 6 Goulden, Ian P. 6 Loehr, Nicholas A. 6 Mansour, Toufik 6 Muscholl, Anca 6 Sivasubramanian, Sivaramakrishnan 6 Stanley, Richard Peter 6 Steingrímsson, Einar 6 Thibon, Jean-Yves 6 Yan, Catherine Huafei 5 Bagno, Eli 5 Chow, Chak-On 5 Clerbout, Mireille 5 Ding, Kequan 5 Francon, Jean 5 Garsia, Adriano M. 5 Guo, Victor J. W. 5 Kim, Dongsu 5 Konvalinka, Matjaž 5 Loebl, Martin 5 Mairesse, Jean 5 Randrianarivony, Arthur 5 Reiner, Victor 5 Reutenauer, Christophe 5 Sagan, Bruce Eli 5 Shin, Heesung 5 Williams, Lauren K. 5 Zhuang, Yan 4 Athanasiadis, Christos A. 4 Barnabei, Marilena 4 Billey, Sara C. 4 Bousquet-Mélou, Mireille 4 Clarke, Robert J. 4 Dumont, Dominique 4 Gastin, Paul 4 Guaiana, Giovanna 4 Harris, Pamela E. 4 Hsu, Hsiang-Chun 4 Janicki, Ryszard 4 Jones, Brant C. 4 Joni, S. A. 4 Josuat-Vergès, Matthieu 4 Jouhet, Frédéric 4 Kim, Jang Soo 4 Komatsu, Takashi 4 Lass, Bodo 4 Liu, Lily Li 4 Lo, Yuan-Hsun 4 Mantaci, Roberto 4 Mao, Jianxi 4 Nadeau, Philippe 4 Nagar, Mukesh Kumar 4 Pan, Qiongqiong 4 Poznanović, Svetlana 4 Simion, Rodica E. 4 Srivastava, Hari Mohan 4 Wang, David Guo-Liang 4 Wang, Yi ...and 771 more Authors all top 5 Cited in 174 Serials 135 Discrete Mathematics 111 Journal of Combinatorial Theory. Series A 81 Advances in Applied Mathematics 78 European Journal of Combinatorics 53 Theoretical Computer Science 41 The Electronic Journal of Combinatorics 34 Linear Algebra and its Applications 29 Advances in Mathematics 20 Annals of Combinatorics 19 Journal of Algebraic Combinatorics 18 Journal of Algebra 13 The Ramanujan Journal 12 Transactions of the American Mathematical Society 11 Séminaire Lotharingien de Combinatoire 10 Discrete Applied Mathematics 10 Graphs and Combinatorics 9 Journal of Pure and Applied Algebra 9 Proceedings of the American Mathematical Society 8 Information Processing Letters 8 International Journal of Algebra and Computation 8 RAIRO. Informatique Théorique et Applications 7 Journal of Mathematical Analysis and Applications 7 Semigroup Forum 6 Journal of Combinatorial Theory. Series B 5 Linear and Multilinear Algebra 5 Applied Mathematics and Computation 5 Journal of Computational and Applied Mathematics 5 Studies in Applied Mathematics 5 Information and Computation 4 Israel Journal of Mathematics 4 Journal of Statistical Planning and Inference 4 Mathematical Systems Theory 4 Journal of Symbolic Computation 4 Discrete & Computational Geometry 4 Journal of Difference Equations and Applications 4 Electronic Research Archive 3 Acta Informatica 3 Bulletin of the Australian Mathematical Society 3 Communications in Algebra 3 Computers & Mathematics with Applications 3 Journal of Number Theory 3 Mathematische Zeitschrift 3 RAIRO, Informatique Théorique 3 Combinatorics, Probability and Computing 3 Journal of Integer Sequences 2 Communications in Mathematical Physics 2 Mathematics of Computation 2 Journal of Geometry and Physics 2 The Mathematical Intelligencer 2 Functional Analysis and its Applications 2 Journal of Applied Probability 2 Journal of Approximation Theory 2 Journal of Functional Analysis 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 Acta Applicandae Mathematicae 2 Order 2 SIAM Journal on Discrete Mathematics 2 Aequationes Mathematicae 2 International Journal of Computer Mathematics 2 Proceedings of the National Academy of Sciences of the United States of America 2 Integral Transforms and Special Functions 2 Theory of Computing Systems 2 Taiwanese Journal of Mathematics 2 Discrete Mathematics and Theoretical Computer Science. DMTCS 2 Quantum Information Processing 2 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge 2 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 2 Algebraic Combinatorics 1 American Mathematical Monthly 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Studia Mathematica 1 Theoretical and Mathematical Physics 1 Mathematics Magazine 1 Theory of Probability and its Applications 1 Algebra and Logic 1 Annales de l’Institut Fourier 1 Annals of the Institute of Statistical Mathematics 1 The Annals of Probability 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques 1 Automatica 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Graph Theory 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Results in Mathematics 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Ergodic Theory and Dynamical Systems ...and 74 more Serials all top 5 Cited in 49 Fields 751 Combinatorics (05-XX) 217 Number theory (11-XX) 146 Group theory and generalizations (20-XX) 125 Computer science (68-XX) 107 Special functions (33-XX) 60 Linear and multilinear algebra; matrix theory (15-XX) 51 Probability theory and stochastic processes (60-XX) 42 Order, lattices, ordered algebraic structures (06-XX) 38 Associative rings and algebras (16-XX) 25 Nonassociative rings and algebras (17-XX) 22 Convex and discrete geometry (52-XX) 22 Quantum theory (81-XX) 13 Functions of a complex variable (30-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Mathematical logic and foundations (03-XX) 12 Manifolds and cell complexes (57-XX) 11 Commutative algebra (13-XX) 9 Algebraic geometry (14-XX) 9 Category theory; homological algebra (18-XX) 9 Functional analysis (46-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Ordinary differential equations (34-XX) 6 History and biography (01-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Statistics (62-XX) 6 Operations research, mathematical programming (90-XX) 6 Systems theory; control (93-XX) 6 Information and communication theory, circuits (94-XX) 5 Real functions (26-XX) 5 Difference and functional equations (39-XX) 4 Field theory and polynomials (12-XX) 4 Approximations and expansions (41-XX) 4 Algebraic topology (55-XX) 3 General and overarching topics; collections (00-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Numerical analysis (65-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Biology and other natural sciences (92-XX) 1 General algebraic systems (08-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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