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Beardon, Alan Frank

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Published as: Beardon, A. F.; Beardon, Alan F.; Beardon, Alan
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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

Publications by Year

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 0528.30001
Beardon, Alan F.
455
1983
Iteration of rational functions. Complex analytic dynamical systems. Zbl 0742.30002
Beardon, Alan F.
249
1991
Limit points of Kleinian groups and finite sided fundamental polyhedra. Zbl 0277.30017
Beardon, Alan F.; Maskit, Bernard
93
1974
The hyperbolic metric and geometric function theory. Zbl 1208.30001
Beardon, A. F.; Minda, D.
89
2007
The Poincaré metric of plane domains. Zbl 0399.30008
Beardon, A. F.; Pommerenke, Ch.
77
1978
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 exponent of convergence of Poincaré series. Zbl 0162.38801
Beardon, A. F.
39
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.
39
2002
The components of a Julia set. Zbl 0757.30034
Beardon, A. F.
38
1991
The uniformization theorem for circle packings. Zbl 0797.30008
Beardon, Alan F.; Stephenson, Kenneth
35
1990
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.
27
1998
Iteration of analytic Euclidean contractions. Zbl 0868.30027
Beardon, A. F.
25
1995
Symmetries of Julia sets. Zbl 0694.30023
Beardon, Alan F.
23
1990
Inequalities for certain Fuchsian groups. Zbl 0235.30022
Beardon, A. F.
22
1971
A primer on Riemann surfaces. Zbl 0546.30001
Beardon, A. F.
22
1984
Sums of powers of integers. Zbl 0851.11012
Beardon, A. F.
19
1996
The dynamics of contractions. Zbl 0952.54023
Beardon, A. F.
19
1997
A multi-point Schwarz-Pick lemma. Zbl 1055.30038
Beardon, A. F.; Minda, D.
18
2004
Schwarzian derivatives, the Poincaré metric and the kernel function. Zbl 0438.30014
Beardon, A. F.; Gehring, F. W.
18
1980
Complex analysis. The argument principle in analysis and topology. Zbl 0399.30001
Beardon, A. F.
18
1979
Iteration of rational functions. Complex analytic dynamical systems. Paperback ed. Zbl 1120.30300
Beardon, Alan F.
17
2000
Iteration of contractions and analytic maps. Zbl 0662.30017
Beardon, A. F.
17
1990
Sphere-preserving maps in inversive geometry. Zbl 0988.30005
Beardon, A. F.; Minda, D.
17
2002
The Schwarz-Pick lemma for circle packings. Zbl 0753.30016
Beardon, Alan F.; Stephenson, Kenneth
16
1991
Continued fractions, discrete groups and complex dynamics. Zbl 1012.40003
Beardon, Alan F.
15
2001
The zeros of linear combinations of orthogonal polynomials. Zbl 1088.42012
Beardon, A. F.; Driver, K. A.
15
2005
The utility theorems of Wold, Debreu, and Arrow-Hahn. Zbl 0797.90005
Beardon, Alan F.; Mehta, Ghanshyam B.
13
1994
The theorems of Stieltjes and Favard. Zbl 1232.42023
Beardon, Alan F.
13
2011
Fibonacci, Chebyshev, and orthogonal polynomials. Zbl 1138.11308
Aharonov, Dov; Beardon, Alan; Driver, Kathy
13
2005
Debreu’s gap theorem. Zbl 0808.90010
Beardon, A. F.
12
1992
Smale’s mean value conjecture and the hyperbolic metric. Zbl 1001.30007
Beardon, A. F.; Minda, D.; Ng, T. W.
12
2002
The metric dimension of metric spaces. Zbl 1282.51004
Bau, Sheng; Beardon, Alan F.
12
2013
On the Hausdorff dimension of general Cantor sets. Zbl 0145.05502
Beardon, A. F.
11
1965
Random iteration of analytic maps. Zbl 1055.37053
Beardon, A. F.; Carne, T. K.; Minda, D.; Ng, T. W.
11
2004
Pell’s equation and two generator free Möbius groups. Zbl 0792.30031
Beardon, A. F.
11
1993
The geometry of Pringsheim’s continued fractions. Zbl 1002.30002
Beardon, A. F.
10
2001
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 critical values of a polynomial. Zbl 1018.30003
Beardon, A. F.; Carne, T. K.; Ng, T. W.
9
2002
The Schwarz-Pick Lemma for derivatives. Zbl 0883.30018
Beardon, A. F.
9
1997
Polynomials with identical Julia sets. Zbl 0751.30026
Beardon, A. F.
9
1992
Parameterizations of algebraic curves. Zbl 1098.14519
Beardon, A. F.; Ng, T. W.
9
2006
The Klein, Hilbert and Poincaré metrics of a domain. Zbl 0951.51011
Beardon, A. F.
8
1999
Closed geodesics on a Riemann surface with application to the Markov spectrum. Zbl 0597.10024
Beardon, A. F.; Lehner, J.; Sheingorn, M.
8
1986
On classical series associated with Kleinian groups. Zbl 0246.30018
Beardon, 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 1382.11023
Beardon, A. F.; Hockman, M.; Short, I.
8
2012
Algebra and geometry. Zbl 1069.15001
Beardon, Alan F.
7
2005
Utility theory and continuous monotonic functions. Zbl 0820.90005
Beardon, Alan F.
7
1994
Worpitzky’s theorem on continued fractions. Zbl 0981.40002
Beardon, A. F.
7
2001
On the convergence of Padé approximants. Zbl 0182.40501
Beardon, A. F.
7
1968
Integral means of subharmonic functions. Zbl 0207.11004
Beardon, A. F.
7
1971
Entire solutions of \(f(kz)=kf(z)f^\prime(z)\). Zbl 1252.34100
Beardon, Alan F.
7
2012
The Seidel, Stern, Stolz and van Vleck theorems on continued fractions. Zbl 1198.30044
Beardon, Alan F.; Short, Ian
7
2010
On the \(k\)-metric dimension of metric spaces. Zbl 1431.54016
Beardon, Alan F.; Rodríguez-Velázquez, Juan Alberto
7
2019
The hyperbolic metric in a rectangle. II. Zbl 1075.30510
Beardon, Alan F.
6
2003
Barycentric subdivision of triangles and semigroups of Möbius maps. Zbl 0869.60006
Bárány, I.; Beardon, A. F.; Carne, T. K.
6
1996
Periodic orbits of difference equations. Zbl 0835.39006
Beardon, A. F.; Bullett, S. R.; Rippon, P. J.
6
1995
A strengthening of the Schwarz-Pick inequality. Zbl 0753.30015
Beardon, A. F.; Carne, T. K.
6
1992
Circle packings in different geometries. Zbl 0703.52007
Beardon, A. F.; Stephenson, K.
6
1991
Ford and Dirichlet regions for Fuchsian groups. Zbl 0478.30033
Beardon, A. F.; Nicholls, P. J.
6
1982
Continued fractions, Möbius transformations and Clifford algebras. Zbl 1019.30003
Beardon, A. F.
5
2003
Normal families: a geometric perspective. Zbl 1307.30075
Beardon, A. F.; Minda, D.
5
2014
Utility functions and the order type of the continuum. Zbl 0819.90005
Beardon, A. F.; Mehta, G. B.
5
1994
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
The hyperbolic metric of a rectangle. Zbl 1017.30054
Beardon, A. F.
4
2001
The generalized capacity of Cantor sets. Zbl 0169.44404
Beardon, A. F.
4
1968
Repeated compositions of analytic maps. Zbl 1018.30020
Beardon, Alan F.
4
2001
Resolving the hypercube. Zbl 1286.05111
Beardon, A. F.
4
2013
Spiral hexagonal circle packings in the plane. Zbl 0796.52002
Beardon, Alan F.; Dubejko, Tomasz; Stephenson, Kenneth
4
1994
Hyperbolic polygons and Fuchsian groups. Zbl 0407.51007
Beardon, A. F.
4
1979
On the pointwise limit of complex analytic functions. Zbl 1187.30003
Beardon, Alan F.; Minda, David
4
2003
The norm of a Möbius transformation. Zbl 0555.30032
Beardon, A. F.; Wilker, J. B.
4
1984
Symmetries of Julia sets. Zbl 0847.30019
Beardon, A. F.
3
1996
The Hillam-Thron theorem in higher dimensions. Zbl 1012.40004
Beardon, Alan F.
3
2003
Totally ordered subsets of Euclidean space. Zbl 0819.90004
Beardon, Alan F.
3
1994
Composition factors of polynomials. Zbl 1032.12001
Beardon, A. F.
3
2001
Montel’s theorem for subharmonic functions and solutions of partial differential equations. Zbl 0207.11003
Beardon, A. F.
3
1971
The differentiation of a composite function. Zbl 0227.26005
Beardon, A. F.
3
1971
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
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
The pointwise convergence of Möbius maps. Zbl 1087.30040
Beardon, A. F.
2
2004
Zeros of polynomials embedded in an orthogonal sequence. Zbl 1242.26013
Beardon, Alan; Driver, Kathy; Jordaan, Kerstin
2
2011
Some remarks on non-discrete Möbius groups. Zbl 0856.30032
Beardon, A. F.
2
1996
Analysis and topology in mathematical economics. Zbl 0832.90009
Beardon, Alan F.
2
1994
Utility representation of continuous preferences. Zbl 0882.90006
Beardon, A. F.
2
1997
On the location of poles of Padé approximants. Zbl 0176.02001
Beardon, A. F.
2
1968
Fuchsian groups and \(n^{th}\) roots of parabolic generators. Zbl 0657.20042
Beardon, A. F.
2
1988
Curvature, circles, and conformal maps. Zbl 0621.30006
Beardon, Alan F.
2
1987
An introduction to hyperbolic geometry. Zbl 0755.30001
Beardon, Alan F.
2
1991
Two examples of Julia sets. Zbl 0751.30027
Beardon, A. F.
2
1992
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
A remark on the shape of quadratic Julia sets. Zbl 0803.30020
Beardon, 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 1140.30001
Kodaira, Kunihiko
2
2007
Euclidean and hyperbolic lengths of images of arcs. Zbl 1153.30007
Beardon, A. F.; Carne, T. K.
2
2008
The principal branch of the Lambert \(W\) function. Zbl 1476.30012
Beardon, A. F.
1
2021
Normal families of Möbius maps. Zbl 1469.30072
Beardon, A. F.; Minda, D.; Short, I.
1
2020
Topology and preference relations. Zbl 1452.91110
Beardon, A. F.
1
2020
The convexity of the function \(y = E(x)\) defined by \(x^y=y^x\). Zbl 07429899
Beardon, Alan F.; Gordon, Russell A.
1
2020
On the \(k\)-metric dimension of metric spaces. Zbl 1431.54016
Beardon, Alan F.; Rodríguez-Velázquez, Juan Alberto
7
2019
The Heron parameters of a triangle. Zbl 1384.11054
Beardon, Alan F.; Stephenson, Paul
1
2015
Normal families: a geometric perspective. Zbl 1307.30075
Beardon, A. F.; Minda, D.
5
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.
12
2013
Resolving the hypercube. Zbl 1286.05111
Beardon, A. F.
4
2013
Efficient sets are small. Zbl 1282.91080
Beardon, Alan F.; Rowat, Colin
2
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.
8
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.
13
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.
2
2008
Dieudonné points of holomorphic self-maps of regions. Zbl 1153.30022
Beardon, A. F.; Minda, D.
2
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.
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 1140.30001
Kodaira, Kunihiko
2
2007
Parameterizations of algebraic curves. Zbl 1098.14519
Beardon, A. F.; Ng, T. W.
9
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.
15
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.
18
2004
Random iteration of analytic maps. Zbl 1055.37053
Beardon, A. F.; Carne, T. K.; Minda, D.; Ng, T. W.
11
2004
Continued fractions and restrained sequences of Möbius maps. Zbl 1051.40005
Beardon, A. F.; Lorentzen, L.
5
2004
The pointwise convergence of Möbius maps. Zbl 1087.30040
Beardon, A. F.
2
2004
Magic labellings of infinite graphs. Zbl 1061.05082
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
Continued fractions, Möbius transformations and Clifford algebras. Zbl 1019.30003
Beardon, A. F.
5
2003
On the pointwise limit of complex analytic functions. Zbl 1187.30003
Beardon, Alan F.; Minda, David
4
2003
The Hillam-Thron theorem in higher dimensions. Zbl 1012.40004
Beardon, Alan F.
3
2003
Even and odd entire functions. Zbl 1038.30003
Beardon, A. F.
1
2003
Sums and differences of values of a quadratic polynomial. Zbl 1046.11013
Beardon, Alan 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.
39
2002
Sphere-preserving maps in inversive geometry. Zbl 0988.30005
Beardon, A. F.; Minda, D.
17
2002
Smale’s mean value conjecture and the hyperbolic metric. Zbl 1001.30007
Beardon, A. F.; Minda, D.; Ng, T. W.
12
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
The critical values of a polynomial. Zbl 1018.30003
Beardon, A. F.; Carne, T. K.; Ng, T. W.
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.
7
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.
17
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.
27
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.
19
1997
The Schwarz-Pick Lemma for derivatives. Zbl 0883.30018
Beardon, A. F.
9
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.
2
1997
Sums of powers of integers. Zbl 0851.11012
Beardon, A. F.
19
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.
2
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.
6
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.
13
1994
Utility theory and continuous monotonic functions. Zbl 0820.90005
Beardon, Alan F.
7
1994
Utility functions and the order type of the continuum. Zbl 0819.90005
Beardon, A. F.; Mehta, G. B.
5
1994
Spiral hexagonal circle packings in the plane. Zbl 0796.52002
Beardon, Alan F.; Dubejko, Tomasz; Stephenson, Kenneth
4
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.
11
1993
Debreu’s gap theorem. Zbl 0808.90010
Beardon, A. F.
12
1992
Polynomials with identical Julia sets. Zbl 0751.30026
Beardon, A. F.
9
1992
A strengthening of the Schwarz-Pick inequality. Zbl 0753.30015
Beardon, A. F.; Carne, T. K.
6
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.
249
1991
The components of a Julia set. Zbl 0757.30034
Beardon, A. F.
38
1991
The Schwarz-Pick lemma for circle packings. Zbl 0753.30016
Beardon, Alan F.; Stephenson, Kenneth
16
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.
2
1991
The uniformization theorem for circle packings. Zbl 0797.30008
Beardon, Alan F.; Stephenson, Kenneth
35
1990
Symmetries of Julia sets. Zbl 0694.30023
Beardon, Alan F.
23
1990
Iteration of contractions and analytic maps. Zbl 0662.30017
Beardon, A. F.
17
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.
2
1988
Curvature, circles, and conformal maps. Zbl 0621.30006
Beardon, Alan F.
2
1987
The geometry of discrete groups. (Geometriya diskretnykh grupp). Transl. from the English by A. S. Solodovnikov. Zbl 0633.30044
Beardon, A. F.
40
1986
...and 33 more Documents
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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
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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
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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)

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