Edit Profile (opens in new tab) Beardon, Alan Frank Co-Author Distance 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: 177 Publications since 1965, including 10 Books and 1 Additional arXiv Preprint 3 Contributions as Editor · 1 Further Contribution Reviewing Activity: 8 Reviews Co-Authors: 41 Co-Authors with 70 Joint Publications 741 Co-Co-Authors all top 5 Co-Authors 108 single-authored 19 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 Krioukov, Dmitri 1 Lehto, Olli E. 1 Macbeath, A. Murray 1 Marden, Albert 1 McLean, K. Robin 1 Paton, Jeremy 1 Pommerenke, Christian 1 Rankin, Robert Alexander 1 Rhodes, Anthony D. 1 Rodríguez-Velazquez, Juan Alberto 1 Rowat, Colin 1 Sheingorn, Mark E. 1 Stepanyants, Huck 1 Stephenson, Paul L. 1 Swinnerton-Dyer, Peter 1 Wakyiku, David 1 Waterman, Peter L. 1 Wilker, John B. all top 5 Serials 22 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 The Fibonacci Quarterly 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 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 Archiv der Mathematik 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 Tôhoku 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 106 Functions of a complex variable (30-XX) 29 Geometry (51-XX) 20 Number theory (11-XX) 20 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) 7 Differential geometry (53-XX) 6 Algebraic geometry (14-XX) 6 Convex and discrete geometry (52-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 136 Publications have been cited 2,232 times in 1,854 Documents Cited by ▼ Year ▼ The geometry of discrete groups. Zbl 0528.30001 Beardon, Alan F. 536 1983 Iteration of rational functions. Complex analytic dynamical systems. Zbl 0742.30002 Beardon, Alan F. 313 1991 The hyperbolic metric and geometric function theory. Zbl 1208.30001 Beardon, A. F.; Minda, D. 112 2007 Limit points of Kleinian groups and finite sided fundamental polyhedra. Zbl 0277.30017 Beardon, Alan F.; Maskit, Bernard 99 1974 The Poincaré metric of plane domains. Zbl 0399.30008 Beardon, A. F.; Pommerenke, Ch. 82 1978 The exponent of convergence of Poincaré series. Zbl 0162.38801 Beardon, A. F. 41 1968 The non-existence of a utility function and the structure of non-representable preference relations. Zbl 1005.91033 Beardon, Alan F.; Candeal, Juan C.; Herden, Gerhard; Induráin, Esteban; Mehta, Ghanshyam B. 41 2002 The geometry of discrete groups. (Geometriya diskretnykh grupp). Transl. from the English by A. S. Solodovnikov. Zbl 0633.30044 Beardon, A. F. 40 1986 The uniformization theorem for circle packings. Zbl 0797.30008 Beardon, Alan F.; Stephenson, Kenneth 38 1990 The components of a Julia set. Zbl 0757.30034 Beardon, A. F. 37 1991 The Hausdorff dimension of singular sets of properly discontinuous groups. Zbl 0145.28203 Beardon, A. F. 30 1966 The Apollonian metric of a domain in \(\mathbb{R}^ n\). Zbl 0890.30030 Beardon, A. F. 30 1998 The dynamics of contractions. Zbl 0952.54023 Beardon, A. F. 26 1997 Symmetries of Julia sets. Zbl 0694.30023 Beardon, Alan F. 26 1990 Sums of powers of integers. Zbl 0851.11012 Beardon, A. F. 25 1996 Iteration of analytic Euclidean contractions. Zbl 0868.30027 Beardon, A. F. 25 1995 A multi-point Schwarz-Pick lemma. Zbl 1055.30038 Beardon, A. F.; Minda, D. 24 2004 A primer on Riemann surfaces. Zbl 0546.30001 Beardon, A. F. 23 1984 Inequalities for certain Fuchsian groups. Zbl 0235.30022 Beardon, A. F. 23 1971 Iteration of contractions and analytic maps. Zbl 0662.30017 Beardon, A. F. 22 1990 Iteration of rational functions. Complex analytic dynamical systems. Paperback ed. Zbl 1120.30300 Beardon, Alan F. 22 2000 Sphere-preserving maps in inversive geometry. Zbl 0988.30005 Beardon, A. F.; Minda, D. 19 2002 The zeros of linear combinations of orthogonal polynomials. Zbl 1088.42012 Beardon, A. F.; Driver, K. A. 19 2005 Complex analysis. The argument principle in analysis and topology. Zbl 0399.30001 Beardon, A. F. 19 1979 The Schwarz-Pick lemma for circle packings. Zbl 0753.30016 Beardon, Alan F.; Stephenson, Kenneth 18 1991 Schwarzian derivatives, the Poincaré metric and the kernel function. Zbl 0438.30014 Beardon, A. F.; Gehring, F. W. 18 1980 The utility theorems of Wold, Debreu, and Arrow-Hahn. Zbl 0797.90005 Beardon, Alan F.; Mehta, Ghanshyam B. 16 1994 The theorems of Stieltjes and Favard. Zbl 1232.42023 Beardon, Alan F. 15 2011 Random iteration of analytic maps. Zbl 1055.37053 Beardon, A. F.; Carne, T. K.; Minda, D.; Ng, T. W. 15 2004 Continued fractions, discrete groups and complex dynamics. Zbl 1012.40003 Beardon, Alan F. 15 2001 Smale’s mean value conjecture and the hyperbolic metric. Zbl 1001.30007 Beardon, A. F.; Minda, D.; Ng, T. W. 14 2002 The critical values of a polynomial. Zbl 1018.30003 Beardon, A. F.; Carne, T. K.; Ng, T. W. 14 2002 Pell’s equation and two generator free Möbius groups. Zbl 0792.30031 Beardon, A. F. 14 1993 The metric dimension of metric spaces. Zbl 1282.51004 Bau, Sheng; Beardon, Alan F. 14 2013 Fibonacci, Chebyshev, and orthogonal polynomials. Zbl 1138.11308 Aharonov, Dov; Beardon, Alan; Driver, Kathy 13 2005 On the Hausdorff dimension of general Cantor sets. Zbl 0145.05502 Beardon, A. F. 12 1965 Polynomials with identical Julia sets. Zbl 0751.30026 Beardon, A. F. 12 1992 Debreu’s gap theorem. Zbl 0808.90010 Beardon, A. F. 12 1992 Geodesic continued fractions. Zbl 1382.11023 Beardon, A. F.; Hockman, M.; Short, I. 12 2012 On the \(k\)-metric dimension of metric spaces. Zbl 1431.54016 Beardon, Alan F.; Rodríguez-Velázquez, Juan Alberto 12 2019 The Schwarz-Pick Lemma for derivatives. Zbl 0883.30018 Beardon, A. F. 11 1997 The geometry of Pringsheim’s continued fractions. Zbl 1002.30002 Beardon, A. F. 10 2001 Parameterizations of algebraic curves. Zbl 1098.14519 Beardon, A. F.; Ng, T. W. 10 2006 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 10 1977 Normal families: a geometric perspective. Zbl 1307.30075 Beardon, A. F.; Minda, D. 10 2014 Lexicographic decomposition of chains and the concept of a planar chain. Zbl 1027.91019 Beardon, Alan F.; Candeal, Juan C.; Herden, Gerhard; Induráin, Esteban; Mehta, Ghanshyam B. 9 2002 The Klein, Hilbert and Poincaré metrics of a domain. Zbl 0951.51011 Beardon, A. F. 8 1999 Worpitzky’s theorem on continued fractions. Zbl 0981.40002 Beardon, A. F. 8 2001 On classical series associated with Kleinian groups. Zbl 0246.30018 Beardon, A. F.; Nicholls, P. J. 8 1972 Closed geodesics on a Riemann surface with application to the Markov spectrum. Zbl 0597.10024 Beardon, A. F.; Lehner, J.; Sheingorn, M. 8 1986 A strengthening of the Schwarz-Pick inequality. Zbl 0753.30015 Beardon, A. F.; Carne, T. K. 8 1992 The Seidel, Stern, Stolz and van Vleck theorems on continued fractions. Zbl 1198.30044 Beardon, Alan F.; Short, Ian 7 2010 Periodic orbits of difference equations. Zbl 0835.39006 Beardon, A. F.; Bullett, S. R.; Rippon, P. J. 7 1995 Integral means of subharmonic functions. Zbl 0207.11004 Beardon, A. F. 7 1971 On the convergence of Padé approximants. Zbl 0182.40501 Beardon, A. F. 7 1968 Utility theory and continuous monotonic functions. Zbl 0820.90005 Beardon, Alan F. 7 1994 Entire solutions of \(f(kz)=kf(z)f^\prime(z)\). Zbl 1252.34100 Beardon, Alan F. 7 2012 Algebra and geometry. Zbl 1069.15001 Beardon, Alan F. 7 2005 Ford and Dirichlet regions for Fuchsian groups. Zbl 0478.30033 Beardon, A. F.; Nicholls, P. J. 6 1982 Circle packings in different geometries. Zbl 0703.52007 Beardon, A. F.; Stephenson, K. 6 1991 Barycentric subdivision of triangles and semigroups of Möbius maps. Zbl 0869.60006 Bárány, I.; Beardon, A. F.; Carne, T. K. 6 1996 The hyperbolic metric in a rectangle. II. Zbl 1075.30510 Beardon, Alan F. 6 2003 Resolving the hypercube. Zbl 1286.05111 Beardon, A. F. 6 2013 On the pointwise limit of complex analytic functions. Zbl 1187.30003 Beardon, Alan F.; Minda, David 5 2003 On Ritt’s factorization of polynomials. Zbl 0960.30019 Beardon, A. F.; Ng, T. W. 5 2000 Analytic contraction of the unit disc. Zbl 0913.30014 Beardon, A. F. 5 1997 Continued fractions and restrained sequences of Möbius maps. Zbl 1051.40005 Beardon, A. F.; Lorentzen, L. 5 2004 Spiral hexagonal circle packings in the plane. Zbl 0796.52002 Beardon, Alan F.; Dubejko, Tomasz; Stephenson, Kenneth 5 1994 Utility functions and the order type of the continuum. Zbl 0819.90005 Beardon, A. F.; Mehta, G. B. 5 1994 Continued fractions, Möbius transformations and Clifford algebras. Zbl 1019.30003 Beardon, A. F. 5 2003 The norm of a Möbius transformation. Zbl 0555.30032 Beardon, A. F.; Wilker, J. B. 4 1984 The generalized capacity of Cantor sets. Zbl 0169.44404 Beardon, A. F. 4 1968 An introduction to hyperbolic geometry. Zbl 0755.30001 Beardon, Alan F. 4 1991 Hyperbolic polygons and Fuchsian groups. Zbl 0407.51007 Beardon, A. F. 4 1979 The hyperbolic metric of a rectangle. Zbl 1017.30054 Beardon, A. F. 4 2001 Repeated compositions of analytic maps. Zbl 1018.30020 Beardon, Alan F. 4 2001 Fuchsian groups and \(n^{th}\) roots of parabolic generators. Zbl 0657.20042 Beardon, A. F. 3 1988 Symmetries of Julia sets. Zbl 0847.30019 Beardon, A. F. 3 1996 Some remarks on non-discrete Möbius groups. Zbl 0856.30032 Beardon, A. F. 3 1996 Montel’s theorem for subharmonic functions and solutions of partial differential equations. Zbl 0207.11003 Beardon, A. F. 3 1971 Composition factors of polynomials. Zbl 1032.12001 Beardon, A. F. 3 2001 The differentiation of a composite function. Zbl 0227.26005 Beardon, A. F. 3 1971 Fundamental domains for Kleinian groups. Zbl 0301.30014 Beardon, A. F. 3 1974 On the isometric circles of elements in a Fuchsian group. Zbl 0309.30018 Beardon, A. F. 3 1975 Utility representation of continuous preferences. Zbl 0882.90006 Beardon, A. F. 3 1997 Totally ordered subsets of Euclidean space. Zbl 0819.90004 Beardon, Alan F. 3 1994 The Hillam-Thron theorem in higher dimensions. Zbl 1012.40004 Beardon, Alan F. 3 2003 The Heron parameters of a triangle. Zbl 1384.11054 Beardon, Alan F.; Stephenson, Paul 3 2015 Euclidean and hyperbolic lengths of images of arcs. Zbl 1153.30007 Beardon, A. F.; Carne, T. K. 3 2008 Dieudonné points of holomorphic self-maps of regions. Zbl 1153.30022 Beardon, A. F.; Minda, D. 3 2008 Semi-groups of analytic maps. Zbl 1015.30010 Beardon, Alan F. 3 2001 The uniformisation of a twice-punctured disc. Zbl 1262.30037 Beardon, Alan F. 3 2012 Efficient sets are small. Zbl 1282.91080 Beardon, Alan F.; Rowat, Colin 3 2013 Zeros of polynomials embedded in an orthogonal sequence. Zbl 1242.26013 Beardon, Alan; Driver, Kathy; Jordaan, Kerstin 2 2011 Norms of Möbius maps. Zbl 1198.30045 Beardon, Alan F.; Short, Ian 2 2010 Analysis and topology in mathematical economics. Zbl 0832.90009 Beardon, Alan F. 2 1994 Approximants of Śleszyński-Pringsheim continued fractions. Zbl 0989.40004 Beardon, Alan; Lorentzen, Lisa 2 2001 Magic labellings of infinite graphs. Zbl 1061.05082 Beardon, A. F. 2 2004 Complex analysis. Transl. from the Japanese by A. Sevenster. Edited by A. F. Beardon and T. K. Carne. Combined 3-volume edition. Zbl 1140.30001 Kodaira, Kunihiko 2 2007 On the location of poles of Padé approximants. Zbl 0176.02001 Beardon, A. F. 2 1968 The uniformisation of the equation \(z^w=w^z\). Zbl 1486.30076 Beardon, A. F. 1 2022 The principal branch of the Lambert \(W\) function. Zbl 1476.30012 Beardon, A. F. 2 2021 An extension of Montel’s three omitted values theorem. Zbl 1462.30063 Beardon, A. F.; Minda, D. 1 2021 Normal families of Möbius maps. Zbl 1469.30072 Beardon, A. F.; Minda, D.; Short, I. 1 2020 The convexity of the function \(y = E(x)\) defined by \(x^y=y^x\). Zbl 1507.26020 Beardon, Alan F.; Gordon, Russell A. 1 2020 Topology and preference relations. Zbl 1452.91110 Beardon, A. F. 1 2020 On the \(k\)-metric dimension of metric spaces. Zbl 1431.54016 Beardon, Alan F.; Rodríguez-Velázquez, Juan Alberto 12 2019 The Heron parameters of a triangle. Zbl 1384.11054 Beardon, Alan F.; Stephenson, Paul 3 2015 Normal families: a geometric perspective. Zbl 1307.30075 Beardon, A. F.; Minda, D. 10 2014 A geometric representation of continued fractions. Zbl 1316.40002 Beardon, Alan F.; Short, Ian 1 2014 The metric dimension of metric spaces. Zbl 1282.51004 Bau, Sheng; Beardon, Alan F. 14 2013 Resolving the hypercube. Zbl 1286.05111 Beardon, A. F. 6 2013 Efficient sets are small. Zbl 1282.91080 Beardon, Alan F.; Rowat, Colin 3 2013 Frieze groups, cylinders, and quotient groups. Zbl 1384.20041 Beardon, Alan F. 1 2013 Geodesic continued fractions. Zbl 1382.11023 Beardon, A. F.; Hockman, M.; Short, I. 12 2012 Entire solutions of \(f(kz)=kf(z)f^\prime(z)\). Zbl 1252.34100 Beardon, Alan F. 7 2012 The uniformisation of a twice-punctured disc. Zbl 1262.30037 Beardon, Alan F. 3 2012 Conformal images and the angle of parallelism. Zbl 1317.30012 Beardon, Alan F.; Minda, David 1 2012 The divergence of two hyperbolic geodesics. Zbl 1244.30065 Beardon, Alan F.; Minda, David 1 2012 The theorems of Stieltjes and Favard. Zbl 1232.42023 Beardon, Alan F. 15 2011 Zeros of polynomials embedded in an orthogonal sequence. Zbl 1242.26013 Beardon, Alan; Driver, Kathy; Jordaan, Kerstin 2 2011 The diameter of a hyperbolic disc. Zbl 1275.30010 Beardon, A. F.; Minda, D. 1 2011 The Seidel, Stern, Stolz and van Vleck theorems on continued fractions. Zbl 1198.30044 Beardon, Alan F.; Short, Ian 7 2010 Norms of Möbius maps. Zbl 1198.30045 Beardon, Alan F.; Short, Ian 2 2010 Creative mathematics. A gateway to research. Zbl 1194.00001 Beardon, Alan F. 1 2009 Euclidean and hyperbolic lengths of images of arcs. Zbl 1153.30007 Beardon, A. F.; Carne, T. K. 3 2008 Dieudonné points of holomorphic self-maps of regions. Zbl 1153.30022 Beardon, A. F.; Minda, D. 3 2008 Conformal automorphisms of finitely connected regions. Zbl 1156.30007 Beardon, A. F.; Minda, D. 2 2008 The hyperbolic metric and geometric function theory. Zbl 1208.30001 Beardon, A. F.; Minda, D. 112 2007 Complex analysis. Transl. from the Japanese by A. Sevenster. Edited by A. F. Beardon and T. K. Carne. Combined 3-volume edition. Zbl 1140.30001 Kodaira, Kunihiko 2 2007 Parameterizations of algebraic curves. Zbl 1098.14519 Beardon, A. F.; Ng, T. W. 10 2006 Contractions of the real line. Zbl 1110.26003 Beardon, A. F. 1 2006 The zeros of linear combinations of orthogonal polynomials. Zbl 1088.42012 Beardon, A. F.; Driver, K. A. 19 2005 Fibonacci, Chebyshev, and orthogonal polynomials. Zbl 1138.11308 Aharonov, Dov; Beardon, Alan; Driver, Kathy 13 2005 Algebra and geometry. Zbl 1069.15001 Beardon, Alan F. 7 2005 A multi-point Schwarz-Pick lemma. Zbl 1055.30038 Beardon, A. F.; Minda, D. 24 2004 Random iteration of analytic maps. Zbl 1055.37053 Beardon, A. F.; Carne, T. K.; Minda, D.; Ng, T. W. 15 2004 Continued fractions and restrained sequences of Möbius maps. Zbl 1051.40005 Beardon, A. F.; Lorentzen, L. 5 2004 Magic labellings of infinite graphs. Zbl 1061.05082 Beardon, A. F. 2 2004 The pointwise convergence of Möbius maps. Zbl 1087.30040 Beardon, A. F. 2 2004 The maximum degree in a vertex-magic graph. Zbl 1053.05107 Beardon, A. F. 1 2004 The hyperbolic metric in a rectangle. II. Zbl 1075.30510 Beardon, Alan F. 6 2003 On the pointwise limit of complex analytic functions. Zbl 1187.30003 Beardon, Alan F.; Minda, David 5 2003 Continued fractions, Möbius transformations and Clifford algebras. Zbl 1019.30003 Beardon, A. F. 5 2003 The Hillam-Thron theorem in higher dimensions. Zbl 1012.40004 Beardon, Alan F. 3 2003 Sums and differences of values of a quadratic polynomial. Zbl 1046.11013 Beardon, Alan F. 1 2003 Even and odd entire functions. Zbl 1038.30003 Beardon, A. F. 1 2003 The non-existence of a utility function and the structure of non-representable preference relations. Zbl 1005.91033 Beardon, Alan F.; Candeal, Juan C.; Herden, Gerhard; Induráin, Esteban; Mehta, Ghanshyam B. 41 2002 Sphere-preserving maps in inversive geometry. Zbl 0988.30005 Beardon, A. F.; Minda, D. 19 2002 Smale’s mean value conjecture and the hyperbolic metric. Zbl 1001.30007 Beardon, A. F.; Minda, D.; Ng, T. W. 14 2002 The critical values of a polynomial. Zbl 1018.30003 Beardon, A. F.; Carne, T. K.; Ng, T. W. 14 2002 Lexicographic decomposition of chains and the concept of a planar chain. Zbl 1027.91019 Beardon, Alan F.; Candeal, Juan C.; Herden, Gerhard; Induráin, Esteban; Mehta, Ghanshyam B. 9 2002 Continued fractions, discrete groups and complex dynamics. Zbl 1012.40003 Beardon, Alan F. 15 2001 The geometry of Pringsheim’s continued fractions. Zbl 1002.30002 Beardon, A. F. 10 2001 Worpitzky’s theorem on continued fractions. Zbl 0981.40002 Beardon, A. F. 8 2001 The hyperbolic metric of a rectangle. Zbl 1017.30054 Beardon, A. F. 4 2001 Repeated compositions of analytic maps. Zbl 1018.30020 Beardon, Alan F. 4 2001 Composition factors of polynomials. Zbl 1032.12001 Beardon, A. F. 3 2001 Semi-groups of analytic maps. Zbl 1015.30010 Beardon, Alan F. 3 2001 Approximants of Śleszyński-Pringsheim continued fractions. Zbl 0989.40004 Beardon, Alan; Lorentzen, Lisa 2 2001 The geometry of Riemann surfaces. Zbl 1014.30028 Beardon, A. F. 1 2001 The Worpitzky-Pringsheim theorem on continued fractions. Zbl 0984.30004 Beardon, A. F. 1 2001 Iteration of rational functions. Complex analytic dynamical systems. Paperback ed. Zbl 1120.30300 Beardon, Alan F. 22 2000 On Ritt’s factorization of polynomials. Zbl 0960.30019 Beardon, A. F.; Ng, T. W. 5 2000 The Klein, Hilbert and Poincaré metrics of a domain. Zbl 0951.51011 Beardon, A. F. 8 1999 The Apollonian metric of a domain in \(\mathbb{R}^ n\). Zbl 0890.30030 Beardon, A. F. 30 1998 Schwarz lemma for harmonic functions. Zbl 0910.31004 Beardon, A. F.; Rhodes, A. D.; Rippon, P. J. 1 1998 The dynamics of contractions. Zbl 0952.54023 Beardon, A. F. 26 1997 The Schwarz-Pick Lemma for derivatives. Zbl 0883.30018 Beardon, A. F. 11 1997 Analytic contraction of the unit disc. Zbl 0913.30014 Beardon, A. F. 5 1997 Utility representation of continuous preferences. Zbl 0882.90006 Beardon, A. F. 3 1997 Sums of powers of integers. Zbl 0851.11012 Beardon, A. F. 25 1996 Barycentric subdivision of triangles and semigroups of Möbius maps. Zbl 0869.60006 Bárány, I.; Beardon, A. F.; Carne, T. K. 6 1996 Symmetries of Julia sets. Zbl 0847.30019 Beardon, A. F. 3 1996 Some remarks on non-discrete Möbius groups. Zbl 0856.30032 Beardon, A. F. 3 1996 Iteration of analytic Euclidean contractions. Zbl 0868.30027 Beardon, A. F. 25 1995 Periodic orbits of difference equations. Zbl 0835.39006 Beardon, A. F.; Bullett, S. R.; Rippon, P. J. 7 1995 Quasi-indifference classes in utility theory. Zbl 0836.90016 Beardon, Alan F. 1 1995 The utility theorems of Wold, Debreu, and Arrow-Hahn. Zbl 0797.90005 Beardon, Alan F.; Mehta, Ghanshyam B. 16 1994 Utility theory and continuous monotonic functions. Zbl 0820.90005 Beardon, Alan F. 7 1994 Spiral hexagonal circle packings in the plane. Zbl 0796.52002 Beardon, Alan F.; Dubejko, Tomasz; Stephenson, Kenneth 5 1994 Utility functions and the order type of the continuum. Zbl 0819.90005 Beardon, A. F.; Mehta, G. B. 5 1994 Totally ordered subsets of Euclidean space. Zbl 0819.90004 Beardon, Alan F. 3 1994 Analysis and topology in mathematical economics. Zbl 0832.90009 Beardon, Alan F. 2 1994 A remark on the shape of quadratic Julia sets. Zbl 0803.30020 Beardon, A. F.; Rippon, P. J. 2 1994 Pell’s equation and two generator free Möbius groups. Zbl 0792.30031 Beardon, A. F. 14 1993 Polynomials with identical Julia sets. Zbl 0751.30026 Beardon, A. F. 12 1992 Debreu’s gap theorem. Zbl 0808.90010 Beardon, A. F. 12 1992 A strengthening of the Schwarz-Pick inequality. Zbl 0753.30015 Beardon, A. F.; Carne, T. K. 8 1992 Two examples of Julia sets. Zbl 0751.30027 Beardon, A. F. 2 1992 Iteration of rational functions. Complex analytic dynamical systems. Zbl 0742.30002 Beardon, Alan F. 313 1991 The components of a Julia set. Zbl 0757.30034 Beardon, A. F. 37 1991 The Schwarz-Pick lemma for circle packings. Zbl 0753.30016 Beardon, Alan F.; Stephenson, Kenneth 18 1991 Circle packings in different geometries. Zbl 0703.52007 Beardon, A. F.; Stephenson, K. 6 1991 An introduction to hyperbolic geometry. Zbl 0755.30001 Beardon, Alan F. 4 1991 The uniformization theorem for circle packings. Zbl 0797.30008 Beardon, Alan F.; Stephenson, Kenneth 38 1990 Symmetries of Julia sets. Zbl 0694.30023 Beardon, Alan F. 26 1990 Iteration of contractions and analytic maps. Zbl 0662.30017 Beardon, A. F. 22 1990 Circles, chords and epicycloids. Zbl 0684.51016 Beardon, A. F.; Beardon, L. A. 1 1989 Fuchsian groups and \(n^{th}\) roots of parabolic generators. Zbl 0657.20042 Beardon, A. F. 3 1988 ...and 36 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,912 Authors 44 Beardon, Alan Frank 34 Vuorinen, Matti Keijo Kustaa 23 Martin, Gaven J. 17 Induráin, Esteban 17 Minda, David 17 Sugawa, Toshiyuki 16 Wang, Yuefei 15 Ponnusamy, Saminathan 15 Wang, Xiantao 14 Candeal, Juan Carlos 14 Short, Ian 13 Bergweiler, Walter 11 Betsakos, Dimitrios 11 Mehta, Ghanshyam Bhagvandas 11 Rodríguez García, José Manuel 10 Campión, María Jesús 10 Driver, Kathy A. 10 Giarlotta, Alfio 10 Gol’dshtein, Vladimir Mikhailovich 10 Jordaan, Kerstin 10 Ukhlov, Alexander Dadar-Oolovich 9 Canary, Richard D. 9 Gao, Junyang 9 Kim, Young Ik 9 Stephenson, Kenneth 9 Sun, Taixiang 8 Basmajian, Ara S. 8 Herron, David A. 8 Lins, Brian 8 Sumi, Hiroki 8 Xi, Hongjian 7 Apanasov, Boris Nikolaevich 7 Avkhadiev, Farit Gabidinovich 7 Fletcher, Alastair N. 7 Gongopadhyay, Krishnendu 7 Gutiérrez, José Manuel 7 Hästö, Peter A. 7 Hawkins, Jane M. 7 Ibragimov, Zair 7 Kapovich, Michael 7 Liu, Gang 7 Lorentzen, Lisa 7 Rainio, Oona 7 Rippon, Philip Jonathan 7 Stallard, Gwyneth Mary 7 Stratmann, Bernd O. 7 Tukia, Pekka 7 Wang, Gendi 7 Williams, G. Brock 6 Bishop, Christopher James 6 Bobenko, Alexander Ivanovich 6 Campos, Beatriz 6 Falk, Kurt 6 Fang, Ainong 6 Fraser, Jonathan MacDonald 6 Garijo, Antonio 6 Gehring, Frederick William 6 Geum, Young Hee 6 Herden, Gerhard 6 Hidalgo, Rubén Antonio 6 Hinkkanen, Aimo 6 Jaerisch, Johannes 6 Jørgensen, Palle E. T. 6 Kourou, Maria 6 Magreñán, Ángel Alberto 6 Ng, Tuen-Wai 6 Palazzo, Reginaldo jun. 6 Paulin, Frédéric 6 Portilla, Ana 6 Qiu, Weiyuan 6 Roth, Oliver 6 Šarić, Dragomir 6 Schmidt, Thomas A. 6 Touris, Eva 6 Vindel, Pura 6 Watson, William Stephen 6 Xiao, Yingqing 6 Zhang, Chaohui 6 Zhang, Xiaohui 5 Akaza, Tohru 5 Anderson, Glen Douglas 5 Bode, Benjamin 5 Bonfert-Taylor, Petra 5 Bosi, Gianni 5 Bowers, Philip L. 5 Canela, Jordi 5 Cao, Chunlei 5 Ferreira, Gustavo Rodrigues 5 Furusawa, Harushi 5 Gilman, Jane P. 5 Gusevskii, N. A. 5 Haas, Andrew 5 Hernández Paricio, Luis Javier 5 Hockman, Meira 5 Huang, Manzi 5 Jorgenson, Jay Alan 5 Kalantari, Bahman 5 Karafyllia, Christina 5 Keen, Linda 5 Kim, YoungJu ...and 1,812 more Authors all top 5 Cited in 374 Serials 74 Transactions of the American Mathematical Society 74 Computational Methods and Function Theory 72 Proceedings of the American Mathematical Society 56 Conformal Geometry and Dynamics 49 Journal of Mathematical Analysis and Applications 39 Journal d’Analyse Mathématique 35 Geometriae Dedicata 29 Advances in Mathematics 27 Duke Mathematical Journal 23 Mathematische Zeitschrift 22 Mathematical Proceedings of the Cambridge Philosophical Society 21 Topology and its Applications 20 Tôhoku Mathematical Journal. Second Series 19 Israel Journal of Mathematics 19 Journal of Computational and Applied Mathematics 19 Mathematische Annalen 18 Applied Mathematics and Computation 18 Inventiones Mathematicae 18 The Journal of Geometric Analysis 18 Bulletin of the American Mathematical Society. New Series 18 Complex Variables and Elliptic Equations 17 Annales de l’Institut Fourier 17 Ergodic Theory and Dynamical Systems 16 Siberian Mathematical Journal 15 Acta Mathematica 14 Linear Algebra and its Applications 13 Rocky Mountain Journal of Mathematics 13 Complex Analysis and Operator Theory 12 Journal of Approximation Theory 12 Journal of Mathematical Economics 12 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 12 Journal of Difference Equations and Applications 12 Geometry & Topology 12 Acta Mathematica Sinica. English Series 12 Qualitative Theory of Dynamical Systems 12 Annales Fennici Mathematici 11 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 10 Communications in Mathematical Physics 10 Discrete Mathematics 10 Chaos, Solitons and Fractals 10 Journal of the London Mathematical Society. Second Series 10 Journal of Number Theory 10 Michigan Mathematical Journal 10 Monatshefte für Mathematik 10 Groups, Geometry, and Dynamics 9 Bulletin of the London Mathematical Society 9 Mathematische Nachrichten 9 Proceedings of the Japan Academy. Series A 9 Indagationes Mathematicae. New Series 9 Discrete and Continuous Dynamical Systems 8 Kodai Mathematical Journal 8 Results in Mathematics 8 Numerical Algorithms 8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 8 Experimental Mathematics 8 The Journal of Analysis 8 Journal of Mathematical Sciences (New York) 8 Annals of Mathematics. Second Series 8 Science China. Mathematics 7 Arkiv för Matematik 7 Publications Mathématiques 7 Journal of Algebra 7 Journal of Functional Analysis 7 Discrete & Computational Geometry 7 Science in China. Series A 7 The Ramanujan Journal 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Archiv der Mathematik 6 Journal of Mathematical Psychology 6 Journal of Pure and Applied Algebra 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Mathematical Social Sciences 6 Annals of Global Analysis and Geometry 6 Physica D 6 Order 6 Geometric and Functional Analysis. GAFA 6 Expositiones Mathematicae 6 Annales Academiae Scientiarum Fennicae. Mathematica 5 Bulletin of the Australian Mathematical Society 5 Discrete Applied Mathematics 5 Journal of Mathematical Physics 5 The Mathematical Gazette 5 The Mathematical Intelligencer 5 Canadian Mathematical Bulletin 5 Manuscripta Mathematica 5 Osaka Journal of Mathematics 5 Constructive Approximation 5 Journal of the American Mathematical Society 5 Journal of Knot Theory and its Ramifications 5 Potential Analysis 5 Turkish Journal of Mathematics 5 Advances in Applied Clifford Algebras 5 Abstract and Applied Analysis 5 Dynamical Systems 5 Journal of the Australian Mathematical Society 5 Acta Mathematica Scientia. Series B. (English Edition) 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Complex Analysis and its Synergies 4 American Mathematical Monthly ...and 274 more Serials all top 5 Cited in 59 Fields 908 Functions of a complex variable (30-XX) 460 Dynamical systems and ergodic theory (37-XX) 230 Group theory and generalizations (20-XX) 176 Number theory (11-XX) 158 Manifolds and cell complexes (57-XX) 144 Differential geometry (53-XX) 135 Several complex variables and analytic spaces (32-XX) 134 Geometry (51-XX) 82 Combinatorics (05-XX) 77 Convex and discrete geometry (52-XX) 74 Numerical analysis (65-XX) 60 Measure and integration (28-XX) 60 Potential theory (31-XX) 56 Topological groups, Lie groups (22-XX) 54 General topology (54-XX) 54 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 52 Algebraic geometry (14-XX) 50 Special functions (33-XX) 46 Probability theory and stochastic processes (60-XX) 45 Partial differential equations (35-XX) 45 Operator theory (47-XX) 44 Global analysis, analysis on manifolds (58-XX) 43 Harmonic analysis on Euclidean spaces (42-XX) 42 Functional analysis (46-XX) 38 Difference and functional equations (39-XX) 36 Linear and multilinear algebra; matrix theory (15-XX) 29 Quantum theory (81-XX) 28 Real functions (26-XX) 27 Order, lattices, ordered algebraic structures (06-XX) 25 Ordinary differential equations (34-XX) 21 Computer science (68-XX) 20 Approximations and expansions (41-XX) 19 Sequences, series, summability (40-XX) 16 Statistical mechanics, structure of matter (82-XX) 12 Mathematical logic and foundations (03-XX) 12 Field theory and polynomials (12-XX) 10 Abstract harmonic analysis (43-XX) 10 Information and communication theory, circuits (94-XX) 9 Relativity and gravitational theory (83-XX) 9 Biology and other natural sciences (92-XX) 8 General and overarching topics; collections (00-XX) 8 Associative rings and algebras (16-XX) 7 History and biography (01-XX) 7 Nonassociative rings and algebras (17-XX) 6 Operations research, mathematical programming (90-XX) 6 Systems theory; control (93-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Algebraic topology (55-XX) 5 Mathematics education (97-XX) 4 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 Commutative algebra (13-XX) 2 Integral transforms, operational calculus (44-XX) 2 Optics, electromagnetic theory (78-XX) 1 \(K\)-theory (19-XX) 1 Integral equations (45-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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