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Beardon, Alan Frank

Author ID: beardon.alan-f Recent zbMATH articles by "Beardon, Alan Frank"
Published as: Beardon, A. F.; Beardon, Alan F.; Beardon, Alan
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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

Publications by Year

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 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
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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
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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

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