Edit Profile (opens in new tab) Fournier, Richard Compute Distance To: Compute Author ID: fournier.richard Published as: Fournier, Richard; Fournier, R. Homepage: https://dms.umontreal.ca/en/departmental-directory/professors/portrait/fournier External Links: MGP · ResearchGate Documents Indexed: 70 Publications since 1983 Co-Authors: 51 Co-Authors with 40 Joint Publications 606 Co-Co-Authors all top 5 Co-Authors 29 single-authored 12 Ruscheweyh, Stephan 8 Blanco, Stéphane 8 Dryanov, Dimiter P. 4 Theraulaz, Guy 3 Fourcassié, Vincent 3 Gautrais, Jacques 2 Clifton, Michael J. 2 Dauchet, Jérémi 2 Deneubourg, Jean-Louis 2 El Hafi, Mouna 2 Jost, Christian 2 Piaud, Benjamin 2 Roth, Oliver 2 Silverman, Herb 1 Bonabeau, Eric 1 Bshouty, Daoud H. 1 Campo, Alexandre 1 Casellas, E. 1 Celaya, C. 1 Charon, Julien 1 Combé, M. B. 1 Coupez, Thierry 1 Dalle, Patrice 1 Dufresne, Jean-Louis 1 Eymet, Vincent 1 Farges, Olivier 1 Fernández, Pau 1 Giguêre, Jérôme-Melville 1 Grandpeix, Jean-Yves 1 Grimal, Anne 1 Ibarrart, L. 1 Jeanson, Raphaël 1 Joly, Jean-Louis 1 Kraus, Daniela 1 Lapeyre, P. 1 Lesage, Frédéric J. 1 Letac, Gérard G. 1 Ma, Jinxi 1 Mocanu, Petru T. 1 Motsch, Sébastien 1 Nestoridis, Vassili 1 Nicolis, Stamatios C. 1 Ponnusamy, Saminathan 1 Rangel-Huerta, Alejandro 1 Salinas C., L. 1 Salinas, Luis Carrasco 1 Serban, Marius 1 Solé, Ricard V. 1 Soria, Marc 1 Tregan, J.-M. 1 Villefranque, N. 1 Vincent, Michel 1 Weitz, Sebastian all top 5 Serials 8 Computational Methods and Function Theory 7 Rocky Mountain Journal of Mathematics 5 Proceedings of the American Mathematical Society 4 Journal of Mathematical Analysis and Applications 4 Mathematical Inequalities & Applications 3 Complex Variables. Theory and Application 2 Journal of Computational Physics 2 Mathematische Nachrichten 2 Mathematica 2 Analysis (München) 2 Journal of Theoretical Biology 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annales Polonici Mathematici 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Canadian Journal of Mathematics 1 Glasgow Mathematical Journal 1 Journal of Approximation Theory 1 Acta Mathematica Hungarica 1 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Revue Européenne des Éléments Finis 1 East Journal on Approximations 1 Journal of Applied Analysis 1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique, Physique, Astronomie 1 Journal of Computational Methods in Sciences and Engineering 1 Complex Variables and Elliptic Equations 1 Progress in Computational Fluid Dynamics all top 5 Fields 51 Functions of a complex variable (30-XX) 15 Approximations and expansions (41-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Biology and other natural sciences (92-XX) 3 Numerical analysis (65-XX) 3 Fluid mechanics (76-XX) 2 Real functions (26-XX) 2 Partial differential equations (35-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 216 times in 166 Documents Cited by ▼ Year ▼ A class of locally univalent functions defined by a differential inequality. Zbl 1110.30008Fournier, R.; Ponnusamy, S. 30 2007 On two extremal problems related to univalent functions. Zbl 0818.30013Fournier, Richard; Ruscheweyh, Stephan 30 1994 Analyzing fish movement as a persistent turning walker. Zbl 1153.92038Gautrais, Jacques; Jost, Christian; Soria, Marc; Campo, Alexandre; Motsch, Sébastien; Fournier, Richard; Blanco, Stéphane; Theraulaz, Guy 19 2009 On integrals of bounded analytic functions in the closed unit disc. Zbl 0639.30016Fournier, Richard 12 1989 Spatial patterns in ant colonies. Zbl 1001.92011Theraulaz, Guy; Bonabeau, Eric; Nicolis, Stamatios C.; Solé, Ricard V.; Fourcassié, Vincent; Blanco, Stéphane; Fournier, Richard; Joly, Jean-Louis; Fernández, Pau; Grimal, Anne; Dalle, Patrice; Deneubourg, Jean-Louis 12 2002 Free boundary value problems for analytic functions in the closed unit disk. Zbl 0923.30006Fournier, Richard; Ruscheweyh, Stephan 10 1999 On the Bohr radius for simply connected plane domains. Zbl 1206.30004Fournier, Richard; Ruscheweyh, Stephan 8 2010 Differential inequalities and starlikeness. Zbl 1034.30008Fournier, Richard; Mocanu, Petru 7 2003 A note of neighbourhoods of univalent functions. Zbl 0518.30015Fournier, Richard 6 1983 Bound preserving operators over classes of polynomials. Zbl 1331.41027Dryanov, Dimiter; Fournier, Richard 6 2002 On neighbourhoods of univalent starlike functions. Zbl 0631.30008Fournier, Richard 5 1986 A note on Bernstein and Markov type inequalities. Zbl 1085.41007Dryanov, D.; Fournier, R. 5 2005 Asymptotics of the Bohr radius for polynomials of fixed degree. Zbl 1155.30002Fournier, Richard 5 2008 Cases of equality for a class of bound-preserving operators over \(P_n\). Zbl 1051.30010Fournier, Richard 5 2004 The range of a continuous linear functional over a class of functions defined by subordination. Zbl 0715.30010Fournier, Richard 4 1990 From individual to collective displacements in heterogeneous environments. Zbl 1397.92751Casellas, E.; Gautrais, J.; Fournier, R.; Blanco, S.; Combe, M.; Fourcassié, V.; Theraulaz, G.; Jost, C. 4 2008 On neighbourhoods of univalent convex functions. Zbl 0611.30016Fournier, Richard 4 1986 A generalization of the Schwarz-Carathéodory reflection principle and spaces of pseudo-metrics. Zbl 0973.30003Fournier, Richard; Ruscheweyh, Stephan 4 2001 Some remarks on Jack’s Lemma. Zbl 1097.30512Fournier, Richard 4 2001 Cases of equality for refinements of Bernstein’s inequality. Zbl 1105.41010Fournier, Richard; Lesage, Frédéric 3 2006 On two inequalities for polynomials in the unit disk. Zbl 1369.41016Fournier, Richard; Ruscheweyh, Stephan 3 2017 Some extensions of the Markov inequality for polynomials. Zbl 1138.41004Dryanov, D.; Fournier, R.; Ruscheweyh, S. 3 2007 Bound-preserving operators and the maximum modulus of extremal polynomials. Zbl 1302.30005Fournier, Richard 3 2014 On a new proof and an extension of Jack’s lemma. Zbl 1364.30009Fournier, Richard 3 2017 Refinement of an inequality of P. L. Chebyshev. Zbl 1199.30005Dryanov, D.; Fournier, R. 3 2009 Extensions of the geometric-arithmetic means inequality to a disc of the complex plane. Zbl 0922.30012Fournier, Richard 2 1999 Remarks on a multiplier conjecture for univalent functions. Zbl 0848.30005Fournier, Richard; Ruscheweyh, Stephan 2 1992 On a discrete norm for polynomials. Zbl 1257.42002Fournier, R.; Ruscheweyh, S.; Salinas C., L. 2 2012 A Schwarz lemma for locally univalent meromorphic functions. Zbl 1446.30041Fournier, Richard; Kraus, Daniela; Roth, Oliver 2 2020 Radii problems for generalized sections of convex functions. Zbl 0725.30007Fournier, Richard; Silverman, Herb 1 1991 On two interpolation formulas for complex polynomials. Zbl 1421.30048Fournier, Richard; Ruscheweyh, Stephan 1 2018 Inequalities involving weighted means in a disc of the complex plane. Zbl 0948.30001Fournier, Richard 1 2000 On a discrete variant of Bernstein’s polynomial inequality. Zbl 1077.30003Dryanov, Dimiter; Fournier, Richard 1 2005 A new class of inequalities for polynomials. Zbl 1321.30004Fournier, Richard 1 2014 A model of animal movements in a bounded space. Zbl 1464.92284Jeanson, Raphaël; Blanco, Stéphane; Fournier, Richard; Deneubourg, Jean-Louis; Fourcassié, Vincent; Theraulaz, Guy 1 2003 Estimates for the uniform norm of complex polynomials in the unit disk. Zbl 1184.30034Fournier, Richard; Letac, Gérard; Ruscheweyh, Stephan 1 2010 An extension of Jack’s Lemma to polynomials of fixed degree. Zbl 1135.30310Fournier, Richard; Serban, Marius 1 2007 Non-normal sequences of holomorphic functions and universality. Zbl 1267.30085Fournier, Richard; Nestoridis, Vassili 1 2011 Bound-preserving operators and Bernstein type inequalities. Zbl 1061.41007Dryanov, Dimiter; Fournier, Richard 1 2002 A Schwarz lemma for locally univalent meromorphic functions. Zbl 1446.30041Fournier, Richard; Kraus, Daniela; Roth, Oliver 2 2020 On two interpolation formulas for complex polynomials. Zbl 1421.30048Fournier, Richard; Ruscheweyh, Stephan 1 2018 On two inequalities for polynomials in the unit disk. Zbl 1369.41016Fournier, Richard; Ruscheweyh, Stephan 3 2017 On a new proof and an extension of Jack’s lemma. Zbl 1364.30009Fournier, Richard 3 2017 Bound-preserving operators and the maximum modulus of extremal polynomials. Zbl 1302.30005Fournier, Richard 3 2014 A new class of inequalities for polynomials. Zbl 1321.30004Fournier, Richard 1 2014 On a discrete norm for polynomials. Zbl 1257.42002Fournier, R.; Ruscheweyh, S.; Salinas C., L. 2 2012 Non-normal sequences of holomorphic functions and universality. Zbl 1267.30085Fournier, Richard; Nestoridis, Vassili 1 2011 On the Bohr radius for simply connected plane domains. Zbl 1206.30004Fournier, Richard; Ruscheweyh, Stephan 8 2010 Estimates for the uniform norm of complex polynomials in the unit disk. Zbl 1184.30034Fournier, Richard; Letac, Gérard; Ruscheweyh, Stephan 1 2010 Analyzing fish movement as a persistent turning walker. Zbl 1153.92038Gautrais, Jacques; Jost, Christian; Soria, Marc; Campo, Alexandre; Motsch, Sébastien; Fournier, Richard; Blanco, Stéphane; Theraulaz, Guy 19 2009 Refinement of an inequality of P. L. Chebyshev. Zbl 1199.30005Dryanov, D.; Fournier, R. 3 2009 Asymptotics of the Bohr radius for polynomials of fixed degree. Zbl 1155.30002Fournier, Richard 5 2008 From individual to collective displacements in heterogeneous environments. Zbl 1397.92751Casellas, E.; Gautrais, J.; Fournier, R.; Blanco, S.; Combe, M.; Fourcassié, V.; Theraulaz, G.; Jost, C. 4 2008 A class of locally univalent functions defined by a differential inequality. Zbl 1110.30008Fournier, R.; Ponnusamy, S. 30 2007 Some extensions of the Markov inequality for polynomials. Zbl 1138.41004Dryanov, D.; Fournier, R.; Ruscheweyh, S. 3 2007 An extension of Jack’s Lemma to polynomials of fixed degree. Zbl 1135.30310Fournier, Richard; Serban, Marius 1 2007 Cases of equality for refinements of Bernstein’s inequality. Zbl 1105.41010Fournier, Richard; Lesage, Frédéric 3 2006 A note on Bernstein and Markov type inequalities. Zbl 1085.41007Dryanov, D.; Fournier, R. 5 2005 On a discrete variant of Bernstein’s polynomial inequality. Zbl 1077.30003Dryanov, Dimiter; Fournier, Richard 1 2005 Cases of equality for a class of bound-preserving operators over \(P_n\). Zbl 1051.30010Fournier, Richard 5 2004 Differential inequalities and starlikeness. Zbl 1034.30008Fournier, Richard; Mocanu, Petru 7 2003 A model of animal movements in a bounded space. Zbl 1464.92284Jeanson, Raphaël; Blanco, Stéphane; Fournier, Richard; Deneubourg, Jean-Louis; Fourcassié, Vincent; Theraulaz, Guy 1 2003 Spatial patterns in ant colonies. Zbl 1001.92011Theraulaz, Guy; Bonabeau, Eric; Nicolis, Stamatios C.; Solé, Ricard V.; Fourcassié, Vincent; Blanco, Stéphane; Fournier, Richard; Joly, Jean-Louis; Fernández, Pau; Grimal, Anne; Dalle, Patrice; Deneubourg, Jean-Louis 12 2002 Bound preserving operators over classes of polynomials. Zbl 1331.41027Dryanov, Dimiter; Fournier, Richard 6 2002 Bound-preserving operators and Bernstein type inequalities. Zbl 1061.41007Dryanov, Dimiter; Fournier, Richard 1 2002 A generalization of the Schwarz-Carathéodory reflection principle and spaces of pseudo-metrics. Zbl 0973.30003Fournier, Richard; Ruscheweyh, Stephan 4 2001 Some remarks on Jack’s Lemma. Zbl 1097.30512Fournier, Richard 4 2001 Inequalities involving weighted means in a disc of the complex plane. Zbl 0948.30001Fournier, Richard 1 2000 Free boundary value problems for analytic functions in the closed unit disk. Zbl 0923.30006Fournier, Richard; Ruscheweyh, Stephan 10 1999 Extensions of the geometric-arithmetic means inequality to a disc of the complex plane. Zbl 0922.30012Fournier, Richard 2 1999 On two extremal problems related to univalent functions. Zbl 0818.30013Fournier, Richard; Ruscheweyh, Stephan 30 1994 Remarks on a multiplier conjecture for univalent functions. Zbl 0848.30005Fournier, Richard; Ruscheweyh, Stephan 2 1992 Radii problems for generalized sections of convex functions. Zbl 0725.30007Fournier, Richard; Silverman, Herb 1 1991 The range of a continuous linear functional over a class of functions defined by subordination. Zbl 0715.30010Fournier, Richard 4 1990 On integrals of bounded analytic functions in the closed unit disc. Zbl 0639.30016Fournier, Richard 12 1989 On neighbourhoods of univalent starlike functions. Zbl 0631.30008Fournier, Richard 5 1986 On neighbourhoods of univalent convex functions. Zbl 0611.30016Fournier, Richard 4 1986 A note of neighbourhoods of univalent functions. Zbl 0518.30015Fournier, Richard 6 1983 all cited Publications top 5 cited Publications all top 5 Cited by 188 Authors 35 Ponnusamy, Saminathan 25 Fournier, Richard 13 Obradović, Milutin 10 Ali, Rosihan Mohamed 10 Swaminathan, Anbhu 9 Degond, Pierre 7 Motsch, Sébastien 7 Roth, Oliver 6 Ruscheweyh, Stephan 5 Kraus, Daniela 5 Verma, Sarika 5 Wirths, Karl-Joachim 4 Allu, Vasudevarao 4 Balasubramanian, Ramachandran 4 Bhowmik, Bappaditya 4 Gupta, Sushma 4 Parveen, Firdoshi 4 Porfiri, Maurizio 4 Ravichandran, Vaithiyanathan 4 Rønning, Frode 4 Singh, Sukhjit 4 Subramanian, Kumbakonam Govindarajan 3 Černe, Miran 3 Devi, Satwanti 3 Dryanov, Dimiter P. 3 Lee, See Keong 3 Prabhakaran, Devasirvatham John 2 Arora, Vibhuti 2 Barton, David A. W. 2 Blanco, Stéphane 2 Chandrashekar, Ramasamy 2 Defant, Andreas 2 di Bernardo, Mario 2 Frouvelle, Amic 2 Gautrais, Jacques 2 Grahl, Jürgen 2 Halder, Himadri 2 Jost, Christian 2 Li, Jianlin 2 Li, Liulan 2 Navoret, Laurent 2 Nicolis, Stamatios C. 2 Peng, Zhigang 2 Silverman, Herb 2 Silvia, Evelyn Marie 2 Singh, Vikramaditya 2 Sokolov, Igor’ Mikhaĭlovich 2 Srivastava, Hari Mohan 2 Theraulaz, Guy 2 Vasundhra, P. 2 Vuorinen, Matti Keijo Kustaa 2 Wegert, Elias 2 Yanagihara, Hiroshi 2 Zienkiewicz, Adam K. 1 Abbas, Lamia 1 Abu-Muhanna, Yusuf 1 Ahamed, Molla Basir 1 Ahuja, Om Prakash 1 Alarifi, Najla M. 1 Albano, Ezequiel V. 1 Ali, Md Firoz 1 Aliaga, Edmond 1 Anderson, Ross P. 1 Badghaish, Abeer O. 1 Baglietto, Gabriel 1 Bao, Gejun 1 Barnard, Roger W. 1 Bauer, Florian 1 Beiba, El Moctar Ould 1 Ben Cheikh, Youssèf 1 Bodi, Michael 1 Boissard, Emmanuel 1 Bon, Richard 1 Brown, Alexander A. 1 Brown, Johnny E. 1 Brown, Michael F. 1 Burbano-L., Daniel Alberto 1 Campo, Alexandre 1 Candia, Julián 1 Casellas, E. 1 Chapman, Stephen Jonathan 1 Choi, Jaeho 1 Christensen, Kim 1 Cocconi, Luca 1 Combé, M. B. 1 Crailsheim, Karl 1 Demongeot, Jacques 1 Dimarco, Giacomo 1 Długosz, Renata 1 Dmitrishin, Dmitry 1 Evdoridis, Stavros 1 Ferrante, Eliseo 1 Fitri, Sa’adatul 1 Flores, Manuel T. 1 Folk, Spencer R. 1 Fourcassié, Vincent 1 Garnier, Simon 1 Gauthier, Paul M. 1 Glade, Nicolas 1 Graham, Jason M. ...and 88 more Authors all top 5 Cited in 66 Serials 16 Journal of Mathematical Analysis and Applications 12 Computational Methods and Function Theory 9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 8 Complex Variables and Elliptic Equations 6 Rocky Mountain Journal of Mathematics 6 Journal of Computational and Applied Mathematics 5 Journal of Statistical Physics 5 Integral Transforms and Special Functions 4 Bulletin of Mathematical Biology 4 Applied Mathematics and Computation 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Abstract and Applied Analysis 4 Journal of Theoretical Biology 3 Israel Journal of Mathematics 3 Journal d’Analyse Mathématique 3 Journal of Mathematical Biology 3 Proceedings of the American Mathematical Society 3 Results in Mathematics 3 Journal of Inequalities and Applications 2 Indian Journal of Pure & Applied Mathematics 2 Mathematische Nachrichten 2 Transactions of the American Mathematical Society 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Journal of Nonlinear Science 2 Filomat 2 Lobachevskii Journal of Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Biological Cybernetics 1 Computers & Mathematics with Applications 1 Advances in Mathematics 1 Czechoslovak Mathematical Journal 1 Demonstratio Mathematica 1 Glasgow Mathematical Journal 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Mathematische Zeitschrift 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Siberian Mathematical Journal 1 Bulletin of the Korean Mathematical Society 1 Constructive Approximation 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Journal of the Ramanujan Mathematical Society 1 Journal of Mathematical Sciences (New York) 1 Bulletin des Sciences Mathématiques 1 Journal of Applied Analysis 1 Mathematical Inequalities & Applications 1 Mathematical and Computer Modelling of Dynamical Systems 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications of the Korean Mathematical Society 1 Acta Mathematica Sinica. English Series 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Mediterranean Journal of Mathematics 1 Journal of Statistical Mechanics: Theory and Experiment 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Complex Analysis and Operator Theory 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Mathematical Inequalities 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Problemy Analiza. Issues of Analysis 1 Journal of Complex Analysis 1 Séminaire Laurent Schwartz. EDP et Applications 1 Moroccan Journal of Pure and Applied Analysis 1 Korean Journal of Mathematics 1 Annales Fennici Mathematici all top 5 Cited in 28 Fields 123 Functions of a complex variable (30-XX) 24 Biology and other natural sciences (92-XX) 13 Statistical mechanics, structure of matter (82-XX) 11 Special functions (33-XX) 11 Approximations and expansions (41-XX) 10 Partial differential equations (35-XX) 7 Probability theory and stochastic processes (60-XX) 6 Potential theory (31-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Systems theory; control (93-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year