Edit Profile (opens in new tab) Beardon, Alan Frank Compute Distance To: Compute Author ID: beardon.alan-f Published as: Beardon, A. F.; Beardon, Alan F.; Beardon, Alan more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 172 Publications since 1965, including 10 Books 3 Contributions as Editor · 1 Further Contribution Reviewing Activity: 8 Reviews Co-Authors: 38 Co-Authors with 67 Joint Publications 681 Co-Co-Authors all top 5 Co-Authors 106 single-authored 17 Minda, David 7 Short, Ian 6 Carne, Thomas Keith 5 Stephenson, Kenneth 4 Mehta, Ghanshyam Bhagvandas 3 Driver, Kathy A. 3 Rippon, Philip Jonathan 2 Candeal, Juan Carlos 2 Herden, Gerhard 2 Induráin, Esteban 2 Lehner, Joseph 2 Lorentzen, Lisa 2 Maskit, Bernard 2 Nicholls, Peter J. 2 Yang, Chung-Chun 1 Aharonov, Dov 1 AIMS Class 2013-14 1 Bárány, Imre 1 Bau, Sheng 1 Beardon, L. A. 1 Bullett, Shaun R. 1 Deshpande, M. N. 1 Dubejko, Tomasz 1 Earle, Clifford J. 1 Gehring, Frederick William 1 Gordon, Russell A. 1 Harvey, William James 1 Hockman, Meira 1 Jordaan, Kerstin 1 Jørgensen, Troels 1 Kodaira, Kunihiko 1 Lehto, Olli E. 1 Macbeath, A. Murray 1 Marden, Albert 1 McLean, K. Robin 1 Pommerenke, Christian 1 Rankin, Robert Alexander 1 Rhodes, A. D. 1 Rodríguez-Velazquez, Juan Alberto 1 Rowat, Colin 1 Sheingorn, Mark E. 1 Stephenson, Paul L. 1 Swinnerton-Dyer, Peter 1 Wakyiku, David 1 Waterman, Peter L. 1 Wilker, John B. all top 5 Serials 20 Computational Methods and Function Theory 14 The Mathematical Gazette 10 Journal of the London Mathematical Society. Second Series 9 American Mathematical Monthly 6 Mathematics Magazine 5 Bulletin of the London Mathematical Society 5 Journal of Mathematical Economics 5 Proceedings of the American Mathematical Society 4 Economic Theory 4 Annales Academiae Scientiarum Fennicae. Mathematica 4 Proceedings of the Cambridge Philosophical Society 3 Geometriae Dedicata 3 Illinois Journal of Mathematics 3 Journal of Computational and Applied Mathematics 3 The Australasian Journal of Combinatorics 3 The Bulletin of the Hong Kong Mathematical Society 3 Graduate Texts in Mathematics 2 Journal of Mathematical Analysis and Applications 2 Nonlinearity 2 Rocky Mountain Journal of Mathematics 2 Acta Mathematica 2 Canadian Mathematical Bulletin 2 The Fibonacci Quarterly 2 Glasgow Mathematical Journal 2 Michigan Mathematical Journal 2 Proceedings of the London Mathematical Society. Third Series 2 Ergodic Theory and Dynamical Systems 2 Complex Variables. Theory and Application 2 Irish Mathematical Society Bulletin 1 Discrete Applied Mathematics 1 Journal d’Analyse Mathématique 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 The Mathematical Intelligencer 1 American Journal of Mathematics 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 The Australian Mathematical Society Gazette 1 Canadian Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Econometrica 1 Indiana University Mathematics Journal 1 Journal of Approximation Theory 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Mathematika 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Constructive Approximation 1 Numerical Algorithms 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 The Journal of Analysis 1 Journal of the Australian Mathematical Society 1 Bulletin of the American Mathematical Society 1 Journal of the London Mathematical Society 1 Cambridge Studies in Advanced Mathematics 1 London Mathematical Society Lecture Note Series 1 Complex Analysis and Operator Theory 1 Ars Mathematica Contemporanea 1 Afrika Matematika 1 Undergraduate Texts in Mathematics all top 5 Fields 104 Functions of a complex variable (30-XX) 26 Geometry (51-XX) 19 Number theory (11-XX) 19 Group theory and generalizations (20-XX) 12 Sequences, series, summability (40-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Dynamical systems and ergodic theory (37-XX) 8 Combinatorics (05-XX) 8 Real functions (26-XX) 6 Algebraic geometry (14-XX) 6 Convex and discrete geometry (52-XX) 6 Differential geometry (53-XX) 5 Special functions (33-XX) 5 General topology (54-XX) 4 General and overarching topics; collections (00-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Potential theory (31-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Mathematics education (97-XX) 2 Topological groups, Lie groups (22-XX) 2 Ordinary differential equations (34-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 133 Publications have been cited 1,946 times in 1,605 Documents Cited by ▼ Year ▼ The geometry of discrete groups. Zbl 0528.30001Beardon, Alan F. 455 1983 Iteration of rational functions. Complex analytic dynamical systems. Zbl 0742.30002Beardon, Alan F. 249 1991 Limit points of Kleinian groups and finite sided fundamental polyhedra. Zbl 0277.30017Beardon, Alan F.; Maskit, Bernard 93 1974 The hyperbolic metric and geometric function theory. Zbl 1208.30001Beardon, A. F.; Minda, D. 89 2007 The Poincaré metric of plane domains. Zbl 0399.30008Beardon, A. F.; Pommerenke, Ch. 77 1978 The geometry of discrete groups. (Geometriya diskretnykh grupp). Transl. from the English by A. S. Solodovnikov. Zbl 0633.30044Beardon, A. F. 40 1986 The exponent of convergence of Poincaré series. Zbl 0162.38801Beardon, A. F. 39 1968 The non-existence of a utility function and the structure of non-representable preference relations. Zbl 1005.91033Beardon, Alan F.; Candeal, Juan C.; Herden, Gerhard; Induráin, Esteban; Mehta, Ghanshyam B. 39 2002 The components of a Julia set. Zbl 0757.30034Beardon, A. F. 38 1991 The uniformization theorem for circle packings. Zbl 0797.30008Beardon, Alan F.; Stephenson, Kenneth 35 1990 The Hausdorff dimension of singular sets of properly discontinuous groups. Zbl 0145.28203Beardon, A. F. 30 1966 The Apollonian metric of a domain in \(\mathbb{R}^ n\). Zbl 0890.30030Beardon, A. F. 27 1998 Iteration of analytic Euclidean contractions. Zbl 0868.30027Beardon, A. F. 25 1995 Symmetries of Julia sets. Zbl 0694.30023Beardon, Alan F. 23 1990 Inequalities for certain Fuchsian groups. Zbl 0235.30022Beardon, A. F. 22 1971 A primer on Riemann surfaces. Zbl 0546.30001Beardon, A. F. 22 1984 Sums of powers of integers. Zbl 0851.11012Beardon, A. F. 19 1996 The dynamics of contractions. Zbl 0952.54023Beardon, A. F. 19 1997 A multi-point Schwarz-Pick lemma. Zbl 1055.30038Beardon, A. F.; Minda, D. 18 2004 Schwarzian derivatives, the Poincaré metric and the kernel function. Zbl 0438.30014Beardon, A. F.; Gehring, F. W. 18 1980 Complex analysis. The argument principle in analysis and topology. Zbl 0399.30001Beardon, A. F. 18 1979 Iteration of rational functions. Complex analytic dynamical systems. Paperback ed. Zbl 1120.30300Beardon, Alan F. 17 2000 Iteration of contractions and analytic maps. Zbl 0662.30017Beardon, A. F. 17 1990 Sphere-preserving maps in inversive geometry. Zbl 0988.30005Beardon, A. F.; Minda, D. 17 2002 The Schwarz-Pick lemma for circle packings. Zbl 0753.30016Beardon, Alan F.; Stephenson, Kenneth 16 1991 Continued fractions, discrete groups and complex dynamics. Zbl 1012.40003Beardon, Alan F. 15 2001 The zeros of linear combinations of orthogonal polynomials. Zbl 1088.42012Beardon, A. F.; Driver, K. A. 15 2005 The utility theorems of Wold, Debreu, and Arrow-Hahn. Zbl 0797.90005Beardon, Alan F.; Mehta, Ghanshyam B. 13 1994 The theorems of Stieltjes and Favard. Zbl 1232.42023Beardon, Alan F. 13 2011 Fibonacci, Chebyshev, and orthogonal polynomials. Zbl 1138.11308Aharonov, Dov; Beardon, Alan; Driver, Kathy 13 2005 Debreu’s gap theorem. Zbl 0808.90010Beardon, A. F. 12 1992 Smale’s mean value conjecture and the hyperbolic metric. Zbl 1001.30007Beardon, A. F.; Minda, D.; Ng, T. W. 12 2002 The metric dimension of metric spaces. Zbl 1282.51004Bau, Sheng; Beardon, Alan F. 12 2013 On the Hausdorff dimension of general Cantor sets. Zbl 0145.05502Beardon, A. F. 11 1965 Random iteration of analytic maps. Zbl 1055.37053Beardon, A. F.; Carne, T. K.; Minda, D.; Ng, T. W. 11 2004 Pell’s equation and two generator free Möbius groups. Zbl 0792.30031Beardon, A. F. 11 1993 The geometry of Pringsheim’s continued fractions. Zbl 1002.30002Beardon, A. F. 10 2001 Lexicographic decomposition of chains and the concept of a planar chain. Zbl 1027.91019Beardon, Alan F.; Candeal, Juan C.; Herden, Gerhard; Induráin, Esteban; Mehta, Ghanshyam B. 9 2002 The critical values of a polynomial. Zbl 1018.30003Beardon, A. F.; Carne, T. K.; Ng, T. W. 9 2002 The Schwarz-Pick Lemma for derivatives. Zbl 0883.30018Beardon, A. F. 9 1997 Polynomials with identical Julia sets. Zbl 0751.30026Beardon, A. F. 9 1992 Parameterizations of algebraic curves. Zbl 1098.14519Beardon, A. F.; Ng, T. W. 9 2006 The Klein, Hilbert and Poincaré metrics of a domain. Zbl 0951.51011Beardon, A. F. 8 1999 Closed geodesics on a Riemann surface with application to the Markov spectrum. Zbl 0597.10024Beardon, A. F.; Lehner, J.; Sheingorn, M. 8 1986 On classical series associated with Kleinian groups. Zbl 0246.30018Beardon, A. F.; Nicholls, P. J. 8 1972 Discrete groups and automorphic functions. Proceedings of an instructional conference organized by the London Mathematical Society and the University of Cambridge (a NATO Advanced Study Institute). Zbl 0411.30033 8 1977 Geodesic continued fractions. Zbl 1382.11023Beardon, A. F.; Hockman, M.; Short, I. 8 2012 Algebra and geometry. Zbl 1069.15001Beardon, Alan F. 7 2005 Utility theory and continuous monotonic functions. Zbl 0820.90005Beardon, Alan F. 7 1994 Worpitzky’s theorem on continued fractions. Zbl 0981.40002Beardon, A. F. 7 2001 On the convergence of Padé approximants. Zbl 0182.40501Beardon, A. F. 7 1968 Integral means of subharmonic functions. Zbl 0207.11004Beardon, A. F. 7 1971 Entire solutions of \(f(kz)=kf(z)f^\prime(z)\). Zbl 1252.34100Beardon, Alan F. 7 2012 The Seidel, Stern, Stolz and van Vleck theorems on continued fractions. Zbl 1198.30044Beardon, Alan F.; Short, Ian 7 2010 On the \(k\)-metric dimension of metric spaces. Zbl 1431.54016Beardon, Alan F.; Rodríguez-Velázquez, Juan Alberto 7 2019 The hyperbolic metric in a rectangle. II. Zbl 1075.30510Beardon, Alan F. 6 2003 Barycentric subdivision of triangles and semigroups of Möbius maps. Zbl 0869.60006Bárány, I.; Beardon, A. F.; Carne, T. K. 6 1996 Periodic orbits of difference equations. Zbl 0835.39006Beardon, A. F.; Bullett, S. R.; Rippon, P. J. 6 1995 A strengthening of the Schwarz-Pick inequality. Zbl 0753.30015Beardon, A. F.; Carne, T. K. 6 1992 Circle packings in different geometries. Zbl 0703.52007Beardon, A. F.; Stephenson, K. 6 1991 Ford and Dirichlet regions for Fuchsian groups. Zbl 0478.30033Beardon, A. F.; Nicholls, P. J. 6 1982 Continued fractions, Möbius transformations and Clifford algebras. Zbl 1019.30003Beardon, A. F. 5 2003 Normal families: a geometric perspective. Zbl 1307.30075Beardon, A. F.; Minda, D. 5 2014 Utility functions and the order type of the continuum. Zbl 0819.90005Beardon, A. F.; Mehta, G. B. 5 1994 On Ritt’s factorization of polynomials. Zbl 0960.30019Beardon, A. F.; Ng, T. W. 5 2000 Analytic contraction of the unit disc. Zbl 0913.30014Beardon, A. F. 5 1997 Continued fractions and restrained sequences of Möbius maps. Zbl 1051.40005Beardon, A. F.; Lorentzen, L. 5 2004 The hyperbolic metric of a rectangle. Zbl 1017.30054Beardon, A. F. 4 2001 The generalized capacity of Cantor sets. Zbl 0169.44404Beardon, A. F. 4 1968 Repeated compositions of analytic maps. Zbl 1018.30020Beardon, Alan F. 4 2001 Resolving the hypercube. Zbl 1286.05111Beardon, A. F. 4 2013 Spiral hexagonal circle packings in the plane. Zbl 0796.52002Beardon, Alan F.; Dubejko, Tomasz; Stephenson, Kenneth 4 1994 Hyperbolic polygons and Fuchsian groups. Zbl 0407.51007Beardon, A. F. 4 1979 On the pointwise limit of complex analytic functions. Zbl 1187.30003Beardon, Alan F.; Minda, David 4 2003 The norm of a Möbius transformation. Zbl 0555.30032Beardon, A. F.; Wilker, J. B. 4 1984 Symmetries of Julia sets. Zbl 0847.30019Beardon, A. F. 3 1996 The Hillam-Thron theorem in higher dimensions. Zbl 1012.40004Beardon, Alan F. 3 2003 Totally ordered subsets of Euclidean space. Zbl 0819.90004Beardon, Alan F. 3 1994 Composition factors of polynomials. Zbl 1032.12001Beardon, A. F. 3 2001 Montel’s theorem for subharmonic functions and solutions of partial differential equations. Zbl 0207.11003Beardon, A. F. 3 1971 The differentiation of a composite function. Zbl 0227.26005Beardon, A. F. 3 1971 Semi-groups of analytic maps. Zbl 1015.30010Beardon, Alan F. 3 2001 The uniformisation of a twice-punctured disc. Zbl 1262.30037Beardon, Alan F. 3 2012 Fundamental domains for Kleinian groups. Zbl 0301.30014Beardon, A. F. 3 1974 On the isometric circles of elements in a Fuchsian group. Zbl 0309.30018Beardon, A. F. 3 1975 The pointwise convergence of Möbius maps. Zbl 1087.30040Beardon, A. F. 2 2004 Zeros of polynomials embedded in an orthogonal sequence. Zbl 1242.26013Beardon, Alan; Driver, Kathy; Jordaan, Kerstin 2 2011 Some remarks on non-discrete Möbius groups. Zbl 0856.30032Beardon, A. F. 2 1996 Analysis and topology in mathematical economics. Zbl 0832.90009Beardon, Alan F. 2 1994 Utility representation of continuous preferences. Zbl 0882.90006Beardon, A. F. 2 1997 On the location of poles of Padé approximants. Zbl 0176.02001Beardon, A. F. 2 1968 Fuchsian groups and \(n^{th}\) roots of parabolic generators. Zbl 0657.20042Beardon, A. F. 2 1988 Curvature, circles, and conformal maps. Zbl 0621.30006Beardon, Alan F. 2 1987 An introduction to hyperbolic geometry. Zbl 0755.30001Beardon, Alan F. 2 1991 Two examples of Julia sets. Zbl 0751.30027Beardon, A. F. 2 1992 Approximants of Śleszyński-Pringsheim continued fractions. Zbl 0989.40004Beardon, Alan; Lorentzen, Lisa 2 2001 Magic labellings of infinite graphs. Zbl 1061.05082Beardon, A. F. 2 2004 A remark on the shape of quadratic Julia sets. Zbl 0803.30020Beardon, A. F.; Rippon, P. J. 2 1994 Complex analysis. Transl. from the Japanese by A. Sevenster. Edited by A. F. Beardon and T. K. Carne. Combined 3-volume edition. Zbl 1140.30001Kodaira, Kunihiko 2 2007 Euclidean and hyperbolic lengths of images of arcs. Zbl 1153.30007Beardon, A. F.; Carne, T. K. 2 2008 The principal branch of the Lambert \(W\) function. Zbl 1476.30012Beardon, A. F. 1 2021 Normal families of Möbius maps. Zbl 1469.30072Beardon, A. F.; Minda, D.; Short, I. 1 2020 Topology and preference relations. Zbl 1452.91110Beardon, A. F. 1 2020 The convexity of the function \(y = E(x)\) defined by \(x^y=y^x\). Zbl 07429899Beardon, Alan F.; Gordon, Russell A. 1 2020 On the \(k\)-metric dimension of metric spaces. Zbl 1431.54016Beardon, Alan F.; Rodríguez-Velázquez, Juan Alberto 7 2019 The Heron parameters of a triangle. Zbl 1384.11054Beardon, Alan F.; Stephenson, Paul 1 2015 Normal families: a geometric perspective. Zbl 1307.30075Beardon, A. F.; Minda, D. 5 2014 A geometric representation of continued fractions. Zbl 1316.40002Beardon, Alan F.; Short, Ian 1 2014 The metric dimension of metric spaces. Zbl 1282.51004Bau, Sheng; Beardon, Alan F. 12 2013 Resolving the hypercube. Zbl 1286.05111Beardon, A. F. 4 2013 Efficient sets are small. Zbl 1282.91080Beardon, Alan F.; Rowat, Colin 2 2013 Frieze groups, cylinders, and quotient groups. Zbl 1384.20041Beardon, Alan F. 1 2013 Geodesic continued fractions. Zbl 1382.11023Beardon, A. F.; Hockman, M.; Short, I. 8 2012 Entire solutions of \(f(kz)=kf(z)f^\prime(z)\). Zbl 1252.34100Beardon, Alan F. 7 2012 The uniformisation of a twice-punctured disc. Zbl 1262.30037Beardon, Alan F. 3 2012 Conformal images and the angle of parallelism. Zbl 1317.30012Beardon, Alan F.; Minda, David 1 2012 The divergence of two hyperbolic geodesics. Zbl 1244.30065Beardon, Alan F.; Minda, David 1 2012 The theorems of Stieltjes and Favard. Zbl 1232.42023Beardon, Alan F. 13 2011 Zeros of polynomials embedded in an orthogonal sequence. Zbl 1242.26013Beardon, Alan; Driver, Kathy; Jordaan, Kerstin 2 2011 The diameter of a hyperbolic disc. Zbl 1275.30010Beardon, A. F.; Minda, D. 1 2011 The Seidel, Stern, Stolz and van Vleck theorems on continued fractions. Zbl 1198.30044Beardon, Alan F.; Short, Ian 7 2010 Norms of Möbius maps. Zbl 1198.30045Beardon, Alan F.; Short, Ian 2 2010 Creative mathematics. A gateway to research. Zbl 1194.00001Beardon, Alan F. 1 2009 Euclidean and hyperbolic lengths of images of arcs. Zbl 1153.30007Beardon, A. F.; Carne, T. K. 2 2008 Dieudonné points of holomorphic self-maps of regions. Zbl 1153.30022Beardon, A. F.; Minda, D. 2 2008 Conformal automorphisms of finitely connected regions. Zbl 1156.30007Beardon, A. F.; Minda, D. 2 2008 The hyperbolic metric and geometric function theory. Zbl 1208.30001Beardon, A. F.; Minda, D. 89 2007 Complex analysis. Transl. from the Japanese by A. Sevenster. Edited by A. F. Beardon and T. K. Carne. Combined 3-volume edition. Zbl 1140.30001Kodaira, Kunihiko 2 2007 Parameterizations of algebraic curves. Zbl 1098.14519Beardon, A. F.; Ng, T. W. 9 2006 Contractions of the real line. Zbl 1110.26003Beardon, A. F. 1 2006 The zeros of linear combinations of orthogonal polynomials. Zbl 1088.42012Beardon, A. F.; Driver, K. A. 15 2005 Fibonacci, Chebyshev, and orthogonal polynomials. Zbl 1138.11308Aharonov, Dov; Beardon, Alan; Driver, Kathy 13 2005 Algebra and geometry. Zbl 1069.15001Beardon, Alan F. 7 2005 A multi-point Schwarz-Pick lemma. Zbl 1055.30038Beardon, A. F.; Minda, D. 18 2004 Random iteration of analytic maps. Zbl 1055.37053Beardon, A. F.; Carne, T. K.; Minda, D.; Ng, T. W. 11 2004 Continued fractions and restrained sequences of Möbius maps. Zbl 1051.40005Beardon, A. F.; Lorentzen, L. 5 2004 The pointwise convergence of Möbius maps. Zbl 1087.30040Beardon, A. F. 2 2004 Magic labellings of infinite graphs. Zbl 1061.05082Beardon, A. F. 2 2004 The maximum degree in a vertex-magic graph. Zbl 1053.05107Beardon, A. F. 1 2004 The hyperbolic metric in a rectangle. II. Zbl 1075.30510Beardon, Alan F. 6 2003 Continued fractions, Möbius transformations and Clifford algebras. Zbl 1019.30003Beardon, A. F. 5 2003 On the pointwise limit of complex analytic functions. Zbl 1187.30003Beardon, Alan F.; Minda, David 4 2003 The Hillam-Thron theorem in higher dimensions. Zbl 1012.40004Beardon, Alan F. 3 2003 Even and odd entire functions. Zbl 1038.30003Beardon, A. F. 1 2003 Sums and differences of values of a quadratic polynomial. Zbl 1046.11013Beardon, Alan F. 1 2003 The non-existence of a utility function and the structure of non-representable preference relations. Zbl 1005.91033Beardon, Alan F.; Candeal, Juan C.; Herden, Gerhard; Induráin, Esteban; Mehta, Ghanshyam B. 39 2002 Sphere-preserving maps in inversive geometry. Zbl 0988.30005Beardon, A. F.; Minda, D. 17 2002 Smale’s mean value conjecture and the hyperbolic metric. Zbl 1001.30007Beardon, A. F.; Minda, D.; Ng, T. W. 12 2002 Lexicographic decomposition of chains and the concept of a planar chain. Zbl 1027.91019Beardon, Alan F.; Candeal, Juan C.; Herden, Gerhard; Induráin, Esteban; Mehta, Ghanshyam B. 9 2002 The critical values of a polynomial. Zbl 1018.30003Beardon, A. F.; Carne, T. K.; Ng, T. W. 9 2002 Continued fractions, discrete groups and complex dynamics. Zbl 1012.40003Beardon, Alan F. 15 2001 The geometry of Pringsheim’s continued fractions. Zbl 1002.30002Beardon, A. F. 10 2001 Worpitzky’s theorem on continued fractions. Zbl 0981.40002Beardon, A. F. 7 2001 The hyperbolic metric of a rectangle. Zbl 1017.30054Beardon, A. F. 4 2001 Repeated compositions of analytic maps. Zbl 1018.30020Beardon, Alan F. 4 2001 Composition factors of polynomials. Zbl 1032.12001Beardon, A. F. 3 2001 Semi-groups of analytic maps. Zbl 1015.30010Beardon, Alan F. 3 2001 Approximants of Śleszyński-Pringsheim continued fractions. Zbl 0989.40004Beardon, Alan; Lorentzen, Lisa 2 2001 The geometry of Riemann surfaces. Zbl 1014.30028Beardon, A. F. 1 2001 The Worpitzky-Pringsheim theorem on continued fractions. Zbl 0984.30004Beardon, A. F. 1 2001 Iteration of rational functions. Complex analytic dynamical systems. Paperback ed. Zbl 1120.30300Beardon, Alan F. 17 2000 On Ritt’s factorization of polynomials. Zbl 0960.30019Beardon, A. F.; Ng, T. W. 5 2000 The Klein, Hilbert and Poincaré metrics of a domain. Zbl 0951.51011Beardon, A. F. 8 1999 The Apollonian metric of a domain in \(\mathbb{R}^ n\). Zbl 0890.30030Beardon, A. F. 27 1998 Schwarz lemma for harmonic functions. Zbl 0910.31004Beardon, A. F.; Rhodes, A. D.; Rippon, P. J. 1 1998 The dynamics of contractions. Zbl 0952.54023Beardon, A. F. 19 1997 The Schwarz-Pick Lemma for derivatives. Zbl 0883.30018Beardon, A. F. 9 1997 Analytic contraction of the unit disc. Zbl 0913.30014Beardon, A. F. 5 1997 Utility representation of continuous preferences. Zbl 0882.90006Beardon, A. F. 2 1997 Sums of powers of integers. Zbl 0851.11012Beardon, A. F. 19 1996 Barycentric subdivision of triangles and semigroups of Möbius maps. Zbl 0869.60006Bárány, I.; Beardon, A. F.; Carne, T. K. 6 1996 Symmetries of Julia sets. Zbl 0847.30019Beardon, A. F. 3 1996 Some remarks on non-discrete Möbius groups. Zbl 0856.30032Beardon, A. F. 2 1996 Iteration of analytic Euclidean contractions. Zbl 0868.30027Beardon, A. F. 25 1995 Periodic orbits of difference equations. Zbl 0835.39006Beardon, A. F.; Bullett, S. R.; Rippon, P. J. 6 1995 Quasi-indifference classes in utility theory. Zbl 0836.90016Beardon, Alan F. 1 1995 The utility theorems of Wold, Debreu, and Arrow-Hahn. Zbl 0797.90005Beardon, Alan F.; Mehta, Ghanshyam B. 13 1994 Utility theory and continuous monotonic functions. Zbl 0820.90005Beardon, Alan F. 7 1994 Utility functions and the order type of the continuum. Zbl 0819.90005Beardon, A. F.; Mehta, G. B. 5 1994 Spiral hexagonal circle packings in the plane. Zbl 0796.52002Beardon, Alan F.; Dubejko, Tomasz; Stephenson, Kenneth 4 1994 Totally ordered subsets of Euclidean space. Zbl 0819.90004Beardon, Alan F. 3 1994 Analysis and topology in mathematical economics. Zbl 0832.90009Beardon, Alan F. 2 1994 A remark on the shape of quadratic Julia sets. Zbl 0803.30020Beardon, A. F.; Rippon, P. J. 2 1994 Pell’s equation and two generator free Möbius groups. Zbl 0792.30031Beardon, A. F. 11 1993 Debreu’s gap theorem. Zbl 0808.90010Beardon, A. F. 12 1992 Polynomials with identical Julia sets. Zbl 0751.30026Beardon, A. F. 9 1992 A strengthening of the Schwarz-Pick inequality. Zbl 0753.30015Beardon, A. F.; Carne, T. K. 6 1992 Two examples of Julia sets. Zbl 0751.30027Beardon, A. F. 2 1992 Iteration of rational functions. Complex analytic dynamical systems. Zbl 0742.30002Beardon, Alan F. 249 1991 The components of a Julia set. Zbl 0757.30034Beardon, A. F. 38 1991 The Schwarz-Pick lemma for circle packings. Zbl 0753.30016Beardon, Alan F.; Stephenson, Kenneth 16 1991 Circle packings in different geometries. Zbl 0703.52007Beardon, A. F.; Stephenson, K. 6 1991 An introduction to hyperbolic geometry. Zbl 0755.30001Beardon, Alan F. 2 1991 The uniformization theorem for circle packings. Zbl 0797.30008Beardon, Alan F.; Stephenson, Kenneth 35 1990 Symmetries of Julia sets. Zbl 0694.30023Beardon, Alan F. 23 1990 Iteration of contractions and analytic maps. Zbl 0662.30017Beardon, A. F. 17 1990 Circles, chords and epicycloids. Zbl 0684.51016Beardon, A. F.; Beardon, L. A. 1 1989 Fuchsian groups and \(n^{th}\) roots of parabolic generators. Zbl 0657.20042Beardon, A. F. 2 1988 Curvature, circles, and conformal maps. Zbl 0621.30006Beardon, Alan F. 2 1987 The geometry of discrete groups. (Geometriya diskretnykh grupp). Transl. from the English by A. S. Solodovnikov. Zbl 0633.30044Beardon, A. F. 40 1986 ...and 33 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,640 Authors 41 Beardon, Alan Frank 28 Vuorinen, Matti Keijo Kustaa 19 Martin, Gaven J. 17 Induráin, Esteban 15 Minda, David 15 Wang, Xiantao 14 Candeal, Juan Carlos 14 Ponnusamy, Saminathan 14 Sugawa, Toshiyuki 13 Bergweiler, Walter 13 Short, Ian 11 Mehta, Ghanshyam Bhagvandas 10 Campión, María Jesús 10 Driver, Kathy A. 10 Giarlotta, Alfio 10 Gol’dshtein, Vladimir Mikhailovich 10 Ukhlov, Alexander Dadar-Oolovich 9 Canary, Richard D. 9 Gao, Junyang 9 Jordaan, Kerstin 9 Kim, Young Ik 9 Stephenson, Kenneth 9 Sun, Taixiang 9 Wang, Yuefei 8 Betsakos, Dimitrios 8 Herron, David A. 8 Rodríguez García, José Manuel 8 Xi, Hongjian 7 Apanasov, Boris Nikolaevich 7 Basmajian, Ara S. 7 Gutiérrez, José Manuel 7 Hästö, Peter A. 7 Ibragimov, Zair 7 Lins, Brian 7 Lorentzen, Lisa 7 Stratmann, Bernd O. 7 Sumi, Hiroki 7 Tukia, Pekka 7 Williams, G. Brock 6 Avkhadiev, Farit Gabidinovich 6 Bishop, Christopher James 6 Campos, Beatriz 6 Falk, Kurt 6 Fang, Ainong 6 Fletcher, Alastair N. 6 Gehring, Frederick William 6 Geum, Young Hee 6 Gongopadhyay, Krishnendu 6 Hawkins, Jane M. 6 Herden, Gerhard 6 Hidalgo, Rubén Antonio 6 Hinkkanen, Aimo 6 Jaerisch, Johannes 6 Kapovich, Michael 6 Magreñán, Ángel Alberto 6 Paulin, Frédéric 6 Schmidt, Thomas A. 6 Vindel, Pura 6 Wang, Gendi 6 Watson, William Stephen 6 Zhang, Chaohui 5 Akaza, Tohru 5 Anderson, Glen Douglas 5 Bobenko, Alexander Ivanovich 5 Bonfert-Taylor, Petra 5 Bowers, Philip L. 5 Furusawa, Harushi 5 Gilman, Jane P. 5 Haas, Andrew 5 Hockman, Meira 5 Huang, Manzi 5 Jørgensen, Palle E. T. 5 Jorgenson, Jay Alan 5 Klén, Riku 5 Kourou, Maria 5 Maskit, Bernard 5 Matsuzaki, Katsuhiko 5 Mejía, Diego Alejandro 5 Palazzo, Reginaldo jun. 5 Parkkonen, Jouni 5 Pommerenke, Christian 5 Qiao, Jianyong 5 Qiu, Weiyuan 5 Rainio, Oona 5 Reid, Alan W. 5 Rippon, Philip Jonathan 5 Roth, Oliver 5 Stallard, Gwyneth Mary 5 Stankewitz, Rich 5 Taylor, Edward C. 5 Touris, Eva 5 Vamanamurthy, Mavina Krishna 5 Wegert, Elias 5 Xiao, Yingqing 5 Yang, Shihai 5 Zhang, Xiaohui 4 Abu-Muhanna, Yusuf 4 Aseev, Vladislav Vasil’evich 4 Bode, Benjamin 4 Bosi, Gianni ...and 1,540 more Authors all top 5 Cited in 335 Serials 69 Proceedings of the American Mathematical Society 67 Transactions of the American Mathematical Society 66 Computational Methods and Function Theory 52 Conformal Geometry and Dynamics 47 Journal of Mathematical Analysis and Applications 38 Journal d’Analyse Mathématique 31 Geometriae Dedicata 27 Duke Mathematical Journal 23 Advances in Mathematics 21 Mathematical Proceedings of the Cambridge Philosophical Society 21 Mathematische Zeitschrift 20 Tohoku Mathematical Journal. Second Series 18 Israel Journal of Mathematics 18 Inventiones Mathematicae 18 Journal of Computational and Applied Mathematics 18 Mathematische Annalen 18 Topology and its Applications 17 Annales de l’Institut Fourier 17 Applied Mathematics and Computation 17 Bulletin of the American Mathematical Society. New Series 15 Acta Mathematica 15 Siberian Mathematical Journal 14 The Journal of Geometric Analysis 13 Complex Variables and Elliptic Equations 13 Complex Analysis and Operator Theory 12 Journal of Approximation Theory 12 Ergodic Theory and Dynamical Systems 12 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 12 Acta Mathematica Sinica. English Series 11 Rocky Mountain Journal of Mathematics 11 Linear Algebra and its Applications 11 Geometry & Topology 10 Journal of Mathematical Economics 10 Monatshefte für Mathematik 10 Journal of Difference Equations and Applications 9 Communications in Mathematical Physics 9 Discrete Mathematics 9 Chaos, Solitons and Fractals 9 Michigan Mathematical Journal 9 Proceedings of the Japan Academy. Series A 8 Kodai Mathematical Journal 8 Results in Mathematics 8 Indagationes Mathematicae. New Series 8 Experimental Mathematics 8 The Journal of Analysis 8 Qualitative Theory of Dynamical Systems 8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 8 Science China. Mathematics 7 Arkiv för Matematik 7 Publications Mathématiques 7 Journal of Functional Analysis 7 Journal of Number Theory 7 Discrete & Computational Geometry 7 Science in China. Series A 7 Discrete and Continuous Dynamical Systems 7 Annals of Mathematics. Second Series 7 Groups, Geometry, and Dynamics 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Journal of Algebra 6 Journal of Pure and Applied Algebra 6 Mathematische Nachrichten 6 Mathematical Social Sciences 6 Annals of Global Analysis and Geometry 6 Physica D 6 Order 6 Numerical Algorithms 6 Geometric and Functional Analysis. GAFA 6 Expositiones Mathematicae 6 Journal of Mathematical Sciences (New York) 6 The Ramanujan Journal 5 Bulletin of the Australian Mathematical Society 5 The Mathematical Gazette 5 Archiv der Mathematik 5 Journal of Mathematical Psychology 5 Manuscripta Mathematica 5 Osaka Journal of Mathematics 5 Constructive Approximation 5 Journal of the American Mathematical Society 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Annales Academiae Scientiarum Fennicae. Mathematica 5 Dynamical Systems 5 Journal of the Australian Mathematical Society 5 Complex Analysis and its Synergies 5 Annales Fennici Mathematici 4 International Journal of Theoretical Physics 4 Journal of Mathematical Physics 4 Mathematical Notes 4 Nonlinearity 4 Nuclear Physics. B 4 Mathematics of Computation 4 Journal of Geometry and Physics 4 The Mathematical Intelligencer 4 Beiträge zur Algebra und Geometrie 4 Compositio Mathematica 4 International Journal of Mathematics and Mathematical Sciences 4 Journal of the London Mathematical Society. Second Series 4 Journal of Soviet Mathematics 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Chinese Annals of Mathematics. Series B 4 Differential Geometry and its Applications ...and 235 more Serials all top 5 Cited in 59 Fields 791 Functions of a complex variable (30-XX) 382 Dynamical systems and ergodic theory (37-XX) 202 Group theory and generalizations (20-XX) 154 Number theory (11-XX) 140 Manifolds and cell complexes (57-XX) 126 Differential geometry (53-XX) 115 Geometry (51-XX) 110 Several complex variables and analytic spaces (32-XX) 74 Convex and discrete geometry (52-XX) 67 Combinatorics (05-XX) 61 Numerical analysis (65-XX) 52 General topology (54-XX) 49 Topological groups, Lie groups (22-XX) 49 Measure and integration (28-XX) 47 Potential theory (31-XX) 46 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 44 Algebraic geometry (14-XX) 43 Special functions (33-XX) 43 Partial differential equations (35-XX) 42 Probability theory and stochastic processes (60-XX) 41 Functional analysis (46-XX) 41 Global analysis, analysis on manifolds (58-XX) 37 Harmonic analysis on Euclidean spaces (42-XX) 36 Operator theory (47-XX) 33 Difference and functional equations (39-XX) 30 Linear and multilinear algebra; matrix theory (15-XX) 26 Quantum theory (81-XX) 25 Order, lattices, ordered algebraic structures (06-XX) 25 Real functions (26-XX) 23 Ordinary differential equations (34-XX) 19 Sequences, series, summability (40-XX) 19 Approximations and expansions (41-XX) 16 Computer science (68-XX) 16 Statistical mechanics, structure of matter (82-XX) 12 Mathematical logic and foundations (03-XX) 11 Field theory and polynomials (12-XX) 9 Abstract harmonic analysis (43-XX) 9 Information and communication theory, circuits (94-XX) 8 General and overarching topics; collections (00-XX) 8 Relativity and gravitational theory (83-XX) 7 Biology and other natural sciences (92-XX) 6 Associative rings and algebras (16-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Operations research, mathematical programming (90-XX) 5 Systems theory; control (93-XX) 4 History and biography (01-XX) 4 Nonassociative rings and algebras (17-XX) 4 Algebraic topology (55-XX) 4 Mathematics education (97-XX) 3 Mechanics of deformable solids (74-XX) 2 Commutative algebra (13-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 1 \(K\)-theory (19-XX) 1 Integral equations (45-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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