Edit Profile Beardon, Alan Frank Compute Distance To: Compute Author ID: beardon.alan-f Published as: Beardon, A. F.; Beardon, Alan; Beardon, Alan F. External Links: MGP · Wikidata · GND Documents Indexed: 164 Publications since 1965, including 10 Books all top 5 Co-Authors 101 single-authored 14 Minda, David 7 Short, Ian 5 Carne, Thomas Keith 5 Ng, Teck Wee 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 Lorentzen, Lisa 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 Gehring, Frederick William 1 Hockman, Meira 1 Jordaan, Kerstin 1 Jørgensen, Troels 1 Lehner, Joseph 1 Maskit, Bernard 1 McLean, K. Robin 1 Pommerenke, Christian 1 Rhodes, A. D. 1 Rodríguez-Velazquez, Juan Alberto 1 Rowat, Colin 1 Sheingorn, Mark E. 1 Stephenson, Paul L. 1 Wakyiku, David 1 Waterman, Peter L. 1 Wilker, John B. all top 5 Serials 15 Computational Methods and Function Theory 10 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 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 Canadian Mathematical Bulletin 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 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 97 Functions of a complex variable (30-XX) 25 Geometry (51-XX) 18 Number theory (11-XX) 18 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) 7 Combinatorics (05-XX) 7 Real functions (26-XX) 6 Algebraic geometry (14-XX) 5 Convex and discrete geometry (52-XX) 5 Differential geometry (53-XX) 4 General and overarching topics; collections (00-XX) 4 Potential theory (31-XX) 4 General topology (54-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-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 122 Publications have been cited 1,885 times in 1,504 Documents Cited by ▼ Year ▼ The geometry of discrete groups. Zbl 0528.30001Beardon, Alan F. 487 1983 Iteration of rational functions. Complex analytic dynamical systems. Zbl 0742.30002Beardon, Alan F. 272 1991 Limit points of Kleinian groups and finite sided fundamental polyhedra. Zbl 0277.30017Beardon, Alan F.; Maskit, Bernard 91 1974 The Poincaré metric of plane domains. Zbl 0399.30008Beardon, A. F.; Pommerenke, Ch. 72 1978 The hyperbolic metric and geometric function theory. Zbl 1208.30001Beardon, A. F.; Minda, D. 65 2007 The geometry of discrete groups. (Geometriya diskretnykh grupp). Transl. from the English by A. S. Solodovnikov. Zbl 0633.30044Beardon, A. F. 40 1986 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. 38 2002 The components of a Julia set. Zbl 0757.30034Beardon, A. F. 38 1991 The exponent of convergence of Poincaré series. Zbl 0162.38801Beardon, A. F. 35 1968 The uniformization theorem for circle packings. Zbl 0797.30008Beardon, Alan F.; Stephenson, Kenneth 34 1990 The Hausdorff dimension of singular sets of properly discontinuous groups. Zbl 0145.28203Beardon, A. F. 30 1966 Iteration of analytic Euclidean contractions. Zbl 0868.30027Beardon, A. F. 29 1995 The Apollonian metric of a domain in \(\mathbb{R}^ n\). Zbl 0890.30030Beardon, A. F. 25 1998 A primer on Riemann surfaces. Zbl 0546.30001Beardon, A. F. 22 1984 Inequalities for certain Fuchsian groups. Zbl 0235.30022Beardon, A. F. 22 1971 The dynamics of contractions. Zbl 0952.54023Beardon, A. F. 18 1997 Symmetries of Julia sets. Zbl 0694.30023Beardon, Alan F. 18 1990 Sums of powers of integers. Zbl 0851.11012Beardon, A. F. 17 1996 Sphere-preserving maps in inversive geometry. Zbl 0988.30005Beardon, A. F.; Minda, D. 16 2002 Iteration of rational functions. Complex analytic dynamical systems. Paperback ed. Zbl 1120.30300Beardon, Alan F. 16 2000 Iteration of contractions and analytic maps. Zbl 0662.30017Beardon, A. F. 16 1990 Schwarzian derivatives, the Poincaré metric and the kernel function. Zbl 0438.30014Beardon, A. F.; Gehring, F. W. 16 1980 A multi-point Schwarz-Pick lemma. Zbl 1055.30038Beardon, A. F.; Minda, D. 15 2004 The Schwarz-Pick lemma for circle packings. Zbl 0753.30016Beardon, Alan F.; Stephenson, Kenneth 15 1991 The zeros of linear combinations of orthogonal polynomials. Zbl 1088.42012Beardon, A. F.; Driver, K. A. 14 2005 Continued fractions, discrete groups and complex dynamics. Zbl 1012.40003Beardon, Alan F. 14 2001 Fibonacci, Chebyshev, and orthogonal polynomials. Zbl 1138.11308Aharonov, Dov; Beardon, Alan; Driver, Kathy 13 2005 Complex analysis. The argument principle in analysis and topology. Zbl 0399.30001Beardon, A. F. 13 1979 The theorems of Stieltjes and Favard. Zbl 1232.42023Beardon, Alan F. 12 2011 Smale’s mean value conjecture and the hyperbolic metric. Zbl 1001.30007Beardon, A. F.; Minda, D.; Ng, T. W. 12 2002 The utility theorems of Wold, Debreu, and Arrow-Hahn. Zbl 0797.90005Beardon, Alan F.; Mehta, Ghanshyam B. 12 1994 Debreu’s gap theorem. Zbl 0808.90010Beardon, A. F. 12 1992 Random iteration of analytic maps. Zbl 1055.37053Beardon, A. F.; Carne, T. K.; Minda, D.; Ng, T. W. 10 2004 The geometry of Pringsheim’s continued fractions. Zbl 1002.30002Beardon, A. F. 10 2001 Pell’s equation and two generator free Möbius groups. Zbl 0792.30031Beardon, A. F. 10 1993 On the Hausdorff dimension of general Cantor sets. Zbl 0145.05502Beardon, A. F. 10 1965 The metric dimension of metric spaces. Zbl 1282.51004Bau, Sheng; Beardon, Alan F. 9 2013 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. 8 2002 The Schwarz-Pick Lemma for derivatives. Zbl 0883.30018Beardon, A. F. 8 1997 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 Entire solutions of \(f(kz)=kf(z)f^\prime(z)\). Zbl 1252.34100Beardon, Alan F. 7 2012 Algebra and geometry. Zbl 1069.15001Beardon, Alan F. 7 2005 Worpitzky’s theorem on continued fractions. Zbl 0981.40002Beardon, A. F. 7 2001 Utility theory and continuous monotonic functions. Zbl 0820.90005Beardon, Alan F. 7 1994 On the convergence of Padé approximants. Zbl 0182.40501Beardon, A. F. 7 1968 The Seidel, Stern, Stolz and van Vleck theorems on continued fractions. Zbl 1198.30044Beardon, Alan F.; Short, Ian 6 2010 Parameterizations of algebraic curves. Zbl 1098.14519Beardon, A. F.; Ng, T. W. 6 2006 The hyperbolic metric in a rectangle. II. Zbl 1075.30510Beardon, Alan F. 6 2003 The Klein, Hilbert and Poincaré metrics of a domain. Zbl 0951.51011Beardon, A. F. 6 1999 Polynomials with identical Julia sets. Zbl 0751.30026Beardon, A. F. 6 1992 Ford and Dirichlet regions for Fuchsian groups. Zbl 0478.30033Beardon, A. F.; Nicholls, P. J. 6 1982 Geodesic continued fractions. Zbl 1382.11023Beardon, A. F.; Hockman, M.; Short, I. 5 2012 Continued fractions, Möbius transformations and Clifford algebras. Zbl 1019.30003Beardon, A. F. 5 2003 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 Barycentric subdivision of triangles and semigroups of Möbius maps. Zbl 0869.60006Bárány, I.; Beardon, A. F.; Carne, T. K. 5 1996 Periodic orbits of difference equations. Zbl 0835.39006Beardon, A. F.; Bullett, S. R.; Rippon, P. J. 5 1995 Utility functions and the order type of the continuum. Zbl 0819.90005Beardon, A. F.; Mehta, G. B. 5 1994 Circle packings in different geometries. Zbl 0703.52007Beardon, A. F.; Stephenson, K. 5 1991 The norm of a Möbius transformation. Zbl 0555.30032Beardon, A. F.; Wilker, J. B. 5 1984 Resolving the hypercube. Zbl 1286.05111Beardon, A. F. 4 2013 Continued fractions and restrained sequences of Möbius maps. Zbl 1051.40005Beardon, A. F.; Lorentzen, L. 4 2004 On the pointwise limit of complex analytic functions. Zbl 1187.30003Beardon, Alan F.; Minda, David 4 2003 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 Spiral hexagonal circle packings in the plane. Zbl 0796.52002Beardon, Alan F.; Dubejko, Tomasz; Stephenson, Kenneth 4 1994 A strengthening of the Schwarz-Pick inequality. Zbl 0753.30015Beardon, A. F.; Carne, T. K. 4 1992 Lie products, closed geodesics and Fuchsian groups. Zbl 0494.53040Beardon, Alan F. 4 1982 Hyperbolic polygons and Fuchsian groups. Zbl 0407.51007Beardon, A. F. 4 1979 Integral means of subharmonic functions. Zbl 0207.11004Beardon, A. F. 4 1971 The generalized capacity of Cantor sets. Zbl 0169.44404Beardon, A. F. 4 1968 Normal families: a geometric perspective. Zbl 1307.30075Beardon, A. F.; Minda, D. 3 2014 The Hillam-Thron theorem in higher dimensions. Zbl 1012.40004Beardon, Alan F. 3 2003 Composition factors of polynomials. Zbl 1032.12001Beardon, A. F. 3 2001 Symmetries of Julia sets. Zbl 0847.30019Beardon, A. F. 3 1996 Totally ordered subsets of Euclidean space. Zbl 0819.90004Beardon, Alan F. 3 1994 An introduction to hyperbolic geometry. Zbl 0755.30001Beardon, Alan F. 3 1991 Fuchsian groups and \(n^{th}\) roots of parabolic generators. Zbl 0657.20042Beardon, A. F. 3 1988 On the isometric circles of elements in a Fuchsian group. Zbl 0309.30018Beardon, A. F. 3 1975 Fundamental domains for Kleinian groups. Zbl 0301.30014Beardon, A. F. 3 1974 The differentiation of a composite function. Zbl 0227.26005Beardon, A. F. 3 1971 Montel’s theorem for subharmonic functions and solutions of partial differential equations. Zbl 0207.11003Beardon, A. F. 3 1971 On the \(k\)-metric dimension of metric spaces. Zbl 1431.54016Beardon, Alan F.; Rodríguez-Velázquez, Juan Alberto 2 2019 Efficient sets are small. Zbl 1282.91080Beardon, Alan F.; Rowat, Colin 2 2013 The uniformisation of a twice-punctured disc. Zbl 1262.30037Beardon, Alan F. 2 2012 Zeros of polynomials embedded in an orthogonal sequence. Zbl 1242.26013Beardon, Alan; Driver, Kathy; Jordaan, Kerstin 2 2011 Norms of Möbius maps. Zbl 1198.30045Beardon, Alan F.; Short, Ian 2 2010 Conformal automorphisms of finitely connected regions. Zbl 1156.30007Beardon, A. F.; Minda, D. 2 2008 Dieudonné points of holomorphic self-maps of regions. Zbl 1153.30022Beardon, A. F.; Minda, D. 2 2008 The pointwise convergence of Möbius maps. Zbl 1087.30040Beardon, A. F. 2 2004 Semi-groups of analytic maps. Zbl 1015.30010Beardon, Alan F. 2 2001 Utility representation of continuous preferences. Zbl 0882.90006Beardon, A. F. 2 1997 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 A remark on the shape of quadratic Julia sets. Zbl 0803.30020Beardon, A. F.; Rippon, P. J. 2 1994 Two examples of Julia sets. Zbl 0751.30027Beardon, A. F. 2 1992 On the location of poles of Padé approximants. Zbl 0176.02001Beardon, A. F. 2 1968 A geometric representation of continued fractions. Zbl 1316.40002Beardon, Alan F.; Short, Ian 1 2014 On the \(k\)-metric dimension of metric spaces. Zbl 1431.54016Beardon, Alan F.; Rodríguez-Velázquez, Juan Alberto 2 2019 Normal families: a geometric perspective. Zbl 1307.30075Beardon, A. F.; Minda, D. 3 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. 9 2013 Resolving the hypercube. Zbl 1286.05111Beardon, A. F. 4 2013 Efficient sets are small. Zbl 1282.91080Beardon, Alan F.; Rowat, Colin 2 2013 Entire solutions of \(f(kz)=kf(z)f^\prime(z)\). Zbl 1252.34100Beardon, Alan F. 7 2012 Geodesic continued fractions. Zbl 1382.11023Beardon, A. F.; Hockman, M.; Short, I. 5 2012 The uniformisation of a twice-punctured disc. Zbl 1262.30037Beardon, Alan F. 2 2012 The divergence of two hyperbolic geodesics. Zbl 1244.30065Beardon, Alan F.; Minda, David 1 2012 Conformal images and the angle of parallelism. Zbl 1317.30012Beardon, Alan F.; Minda, David 1 2012 The theorems of Stieltjes and Favard. Zbl 1232.42023Beardon, Alan F. 12 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 6 2010 Norms of Möbius maps. Zbl 1198.30045Beardon, Alan F.; Short, Ian 2 2010 Conformal automorphisms of finitely connected regions. Zbl 1156.30007Beardon, A. F.; Minda, D. 2 2008 Dieudonné points of holomorphic self-maps of regions. Zbl 1153.30022Beardon, A. F.; Minda, D. 2 2008 Euclidean and hyperbolic lengths of images of arcs. Zbl 1153.30007Beardon, A. F.; Carne, T. K. 1 2008 The hyperbolic metric and geometric function theory. Zbl 1208.30001Beardon, A. F.; Minda, D. 65 2007 Parameterizations of algebraic curves. Zbl 1098.14519Beardon, A. F.; Ng, T. W. 6 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. 14 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. 15 2004 Random iteration of analytic maps. Zbl 1055.37053Beardon, A. F.; Carne, T. K.; Minda, D.; Ng, T. W. 10 2004 Continued fractions and restrained sequences of Möbius maps. Zbl 1051.40005Beardon, A. F.; Lorentzen, L. 4 2004 The pointwise convergence of Möbius maps. Zbl 1087.30040Beardon, A. F. 2 2004 Magic labellings of infinite graphs. Zbl 1061.05082Beardon, A. F. 1 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 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. 38 2002 Sphere-preserving maps in inversive geometry. Zbl 0988.30005Beardon, A. F.; Minda, D. 16 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. 8 2002 Continued fractions, discrete groups and complex dynamics. Zbl 1012.40003Beardon, Alan F. 14 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. 2 2001 The Worpitzky-Pringsheim theorem on continued fractions. Zbl 0984.30004Beardon, A. F. 1 2001 Approximants of Śleszyński-Pringsheim continued fractions. Zbl 0989.40004Beardon, Alan; Lorentzen, Lisa 1 2001 The geometry of Riemann surfaces. Zbl 1014.30028Beardon, A. F. 1 2001 Iteration of rational functions. Complex analytic dynamical systems. Paperback ed. Zbl 1120.30300Beardon, Alan F. 16 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. 6 1999 The Apollonian metric of a domain in \(\mathbb{R}^ n\). Zbl 0890.30030Beardon, A. F. 25 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. 18 1997 The Schwarz-Pick Lemma for derivatives. Zbl 0883.30018Beardon, A. F. 8 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. 17 1996 Barycentric subdivision of triangles and semigroups of Möbius maps. Zbl 0869.60006Bárány, I.; Beardon, A. F.; Carne, T. K. 5 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. 29 1995 Periodic orbits of difference equations. Zbl 0835.39006Beardon, A. F.; Bullett, S. R.; Rippon, P. J. 5 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. 12 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. 10 1993 Debreu’s gap theorem. Zbl 0808.90010Beardon, A. F. 12 1992 Polynomials with identical Julia sets. Zbl 0751.30026Beardon, A. F. 6 1992 A strengthening of the Schwarz-Pick inequality. Zbl 0753.30015Beardon, A. F.; Carne, T. K. 4 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. 272 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 15 1991 Circle packings in different geometries. Zbl 0703.52007Beardon, A. F.; Stephenson, K. 5 1991 An introduction to hyperbolic geometry. Zbl 0755.30001Beardon, Alan F. 3 1991 The uniformization theorem for circle packings. Zbl 0797.30008Beardon, Alan F.; Stephenson, Kenneth 34 1990 Symmetries of Julia sets. Zbl 0694.30023Beardon, Alan F. 18 1990 Iteration of contractions and analytic maps. Zbl 0662.30017Beardon, A. F. 16 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. 3 1988 Curvature, circles, and conformal maps. Zbl 0621.30006Beardon, Alan F. 1 1987 The geometry of discrete groups. (Geometriya diskretnykh grupp). Transl. from the English by A. S. Solodovnikov. Zbl 0633.30044Beardon, A. F. 40 1986 Closed geodesics on a Riemann surface with application to the Markov spectrum. Zbl 0597.10024Beardon, A. F.; Lehner, J.; Sheingorn, M. 8 1986 A primer on Riemann surfaces. Zbl 0546.30001Beardon, A. F. 22 1984 The norm of a Möbius transformation. Zbl 0555.30032Beardon, A. F.; Wilker, J. B. 5 1984 The geometry of discrete groups. Zbl 0528.30001Beardon, Alan F. 487 1983 Ford and Dirichlet regions for Fuchsian groups. Zbl 0478.30033Beardon, A. F.; Nicholls, P. J. 6 1982 Lie products, closed geodesics and Fuchsian groups. Zbl 0494.53040Beardon, Alan F. 4 1982 Strongly discrete subgroups of SL(2,C). Zbl 0469.30039Beardon, A. F.; Waterman, P. L. 1 1981 Canonical generators of Fuchsian groups. Zbl 0456.30037Beardon, A. F. 1 1981 Schwarzian derivatives, the Poincaré metric and the kernel function. Zbl 0438.30014Beardon, A. F.; Gehring, F. W. 16 1980 Fundamental domains and cyclic subgroups of Fuchsian groups. Zbl 0436.30036Beardon, A. F. 1 1980 ...and 22 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,575 Authors 34 Beardon, Alan Frank 19 Vuorinen, Matti Keijo Kustaa 18 Martin, Gaven J. 17 Induráin, Esteban 14 Candeal, Juan Carlos 14 Sugawa, Toshiyuki 14 Wang, Xiantao 13 Bergweiler, Walter 12 Minda, David 12 Ponnusamy, Saminathan 11 Mehta, Ghanshyam Bhagvandas 11 Short, Ian 10 Campión, María Jesús 10 Driver, Kathy A. 10 Giarlotta, Alfio 10 Gol’dshtein, Vladimir Mikhailovich 10 Huang, Manzi 10 Ukhlov, Alexander Dadar-Oolovich 9 Canary, Richard D. 9 Gao, Junyang 9 Jordaan, Kerstin 9 Stephenson, Kenneth 9 Sun, Taixiang 9 Wang, Yuefei 8 Ibragimov, Zair 8 Kim, Young Ik 8 Rodríguez García, José Manuel 8 Xi, Hongjian 7 Apanasov, Boris Nikolaevich 7 Basmajian, Ara S. 7 Betsakos, Dimitrios 7 Gutiérrez, José Manuel 7 Lins, Brian 7 Lorentzen, Lisa 7 Schmidt, Thomas A. 7 Stratmann, Bernd O. 7 Sumi, Hiroki 7 Tukia, Pekka 6 Bishop, Christopher James 6 Fang, Ainong 6 Gehring, Frederick William 6 Geum, Young Hee 6 Gilman, Jane P. 6 Gongopadhyay, Krishnendu 6 Hästö, Peter A. 6 Hawkins, Jane M. 6 Herden, Gerhard 6 Herron, David A. 6 Hinkkanen, Aimo 6 Kapovich, Michael 6 Magreñán, Ángel Alberto 6 Palazzo, Reginaldo jun. 6 Paulin, Frédéric 6 Watson, William Stephen 6 Williams, G. Brock 6 Yang, Shihai 6 Zhang, Chaohui 5 Akaza, Tohru 5 Avkhadiev, Farit Gabidinovich 5 Bobenko, Alexander Ivanovich 5 Bonfert-Taylor, Petra 5 Bosi, Gianni 5 Campos, Beatriz 5 Cordero, Alicia 5 Encinas, Andrés M. 5 Falk, Kurt 5 Fletcher, Alastair N. 5 Furusawa, Harushi 5 Haas, Andrew 5 Hidalgo, Rubén Antonio 5 Hockman, Meira 5 Jaerisch, Johannes 5 Jiménez, María José 5 Jørgensen, Palle E. T. 5 Klén, Riku 5 Maskit, Bernard 5 Matsuzaki, Katsuhiko 5 Mejía, Diego Alejandro 5 Parkkonen, Jouni 5 Pommerenke, Christian 5 Qiao, Jianyong 5 Reid, Alan W. 5 Rippon, Philip Jonathan 5 Roth, Oliver 5 Sheingorn, Mark E. 5 Stallard, Gwyneth Mary 5 Taylor, Edward C. 5 Torregrosa Sanchez, Juan Ramón 5 Touris, Eva 5 Urbański, Mariusz 5 Vamanamurthy, Mavina Krishna 5 Vindel, Pura 5 Wang, Yuefei 5 Wegert, Elias 5 Xiao, Yingqing 4 Abu-Muhanna, Yusuf 4 Aseev, Vladislav Vasil’evich 4 Boskoff, Wladimir-Georges 4 Bowers, Philip L. 4 Bridgeman, Martin J. ...and 1,475 more Authors all top 5 Cited in 310 Serials 65 Proceedings of the American Mathematical Society 65 Transactions of the American Mathematical Society 61 Computational Methods and Function Theory 50 Conformal Geometry and Dynamics 46 Journal of Mathematical Analysis and Applications 37 Journal d’Analyse Mathématique 30 Geometriae Dedicata 28 Advances in Mathematics 27 Duke Mathematical Journal 22 Topology and its Applications 21 Mathematische Zeitschrift 20 Mathematical Proceedings of the Cambridge Philosophical Society 20 Tohoku Mathematical Journal. Second Series 18 Israel Journal of Mathematics 18 Inventiones Mathematicae 18 Journal of Computational and Applied Mathematics 18 Mathematische Annalen 17 Bulletin of the American Mathematical Society. New Series 15 Acta Mathematica 15 Annales de l’Institut Fourier 15 Applied Mathematics and Computation 15 Siberian Mathematical Journal 14 Linear Algebra and its Applications 12 The Journal of Geometric Analysis 12 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 12 Acta Mathematica Sinica. English Series 12 Complex Analysis and Operator Theory 11 Chaos, Solitons and Fractals 11 Journal of Approximation Theory 11 Ergodic Theory and Dynamical Systems 11 Geometry & Topology 11 Complex Variables and Elliptic Equations 10 Communications in Mathematical Physics 10 Rocky Mountain Journal of Mathematics 10 Journal of Mathematical Economics 9 Discrete Mathematics 9 Michigan Mathematical Journal 9 Proceedings of the Japan Academy. Series A 9 Journal of Difference Equations and Applications 8 Journal of Functional Analysis 8 Journal of Number Theory 8 Monatshefte für Mathematik 8 Indagationes Mathematicae. New Series 8 Science China. Mathematics 7 Arkiv för Matematik 7 Publications Mathématiques 7 Kodai Mathematical Journal 7 Results in Mathematics 7 Discrete & Computational Geometry 7 Science in China. Series A 7 Experimental Mathematics 7 The Journal of Analysis 7 Discrete and Continuous Dynamical Systems 7 Annals of Mathematics. Second Series 6 Mathematics of Computation 6 Journal of Geometry and Physics 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Journal of Algebra 6 Journal of Pure and Applied Algebra 6 Manuscripta Mathematica 6 Mathematische Nachrichten 6 Mathematical Social Sciences 6 Annals of Global Analysis and Geometry 6 Physica D 6 Order 6 Numerical Algorithms 6 Expositiones Mathematicae 6 Journal of Mathematical Sciences (New York) 6 The Ramanujan Journal 6 Qualitative Theory of Dynamical Systems 6 Groups, Geometry, and Dynamics 5 Bulletin of the Australian Mathematical Society 5 Archiv der Mathematik 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 Journal of the Australian Mathematical Society 4 International Journal of Theoretical Physics 4 Journal of Mathematical Physics 4 Mathematical Notes 4 Nuclear Physics. B 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 Osaka Journal of Mathematics 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Chinese Annals of Mathematics. Series B 4 Geometric and Functional Analysis. GAFA 4 Aequationes Mathematicae 4 Acta Mathematica Sinica. New Series 4 Journal of Knot Theory and its Ramifications 4 Potential Analysis 4 Abstract and Applied Analysis 4 Journal of Inequalities and Applications 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM ...and 210 more Serials all top 5 Cited in 59 Fields 738 Functions of a complex variable (30-XX) 362 Dynamical systems and ergodic theory (37-XX) 202 Group theory and generalizations (20-XX) 143 Number theory (11-XX) 141 Manifolds and cell complexes (57-XX) 124 Differential geometry (53-XX) 110 Geometry (51-XX) 101 Several complex variables and analytic spaces (32-XX) 68 Convex and discrete geometry (52-XX) 60 Combinatorics (05-XX) 59 Numerical analysis (65-XX) 51 General topology (54-XX) 50 Topological groups, Lie groups (22-XX) 47 Measure and integration (28-XX) 44 Algebraic geometry (14-XX) 43 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 42 Functional analysis (46-XX) 41 Special functions (33-XX) 40 Partial differential equations (35-XX) 40 Probability theory and stochastic processes (60-XX) 39 Global analysis, analysis on manifolds (58-XX) 38 Potential theory (31-XX) 36 Operator theory (47-XX) 35 Harmonic analysis on Euclidean spaces (42-XX) 32 Linear and multilinear algebra; matrix theory (15-XX) 31 Difference and functional equations (39-XX) 27 Quantum theory (81-XX) 22 Order, lattices, ordered algebraic structures (06-XX) 22 Real functions (26-XX) 22 Ordinary differential equations (34-XX) 19 Approximations and expansions (41-XX) 18 Sequences, series, summability (40-XX) 16 Statistical mechanics, structure of matter (82-XX) 13 Computer science (68-XX) 12 Mathematical logic and foundations (03-XX) 9 Field theory and polynomials (12-XX) 9 Associative rings and algebras (16-XX) 9 Relativity and gravitational theory (83-XX) 9 Information and communication theory, circuits (94-XX) 8 General and overarching topics; collections (00-XX) 8 Abstract harmonic analysis (43-XX) 6 Biology and other natural sciences (92-XX) 4 History and biography (01-XX) 4 Nonassociative rings and algebras (17-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Operations research, mathematical programming (90-XX) 4 Systems theory; control (93-XX) 3 Algebraic topology (55-XX) 3 Mathematics education (97-XX) 2 Commutative algebra (13-XX) 2 \(K\)-theory (19-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-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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