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Beardon, Alan Frank

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Author ID: beardon.alan-f Recent zbMATH articles by "Beardon, Alan Frank"
Published as: Beardon, A. F.; Beardon, Alan F.; Beardon, Alan
External Links: MGP · Wikidata · GND
Documents Indexed: 165 Publications since 1965, including 10 Books
all top 5

Serials

16 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

Publications by Year

Citations contained in zbMATH Open

122 Publications have been cited 1,821 times in 1,508 Documents Cited by Year
The geometry of discrete groups. Zbl 0528.30001
Beardon, Alan F.
446
1983
Iteration of rational functions. Complex analytic dynamical systems. Zbl 0742.30002
Beardon, Alan F.
239
1991
Limit points of Kleinian groups and finite sided fundamental polyhedra. Zbl 0277.30017
Beardon, Alan F.; Maskit, Bernard
91
1974
The hyperbolic metric and geometric function theory. Zbl 1208.30001
Beardon, A. F.; Minda, D.
73
2007
The Poincaré metric of plane domains. Zbl 0399.30008
Beardon, A. F.; Pommerenke, Ch.
72
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 components of a Julia set. Zbl 0757.30034
Beardon, A. F.
38
1991
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.
38
2002
The exponent of convergence of Poincaré series. Zbl 0162.38801
Beardon, A. F.
35
1968
The uniformization theorem for circle packings. Zbl 0797.30008
Beardon, Alan F.; Stephenson, Kenneth
34
1990
The Hausdorff dimension of singular sets of properly discontinuous groups. Zbl 0145.28203
Beardon, A. F.
30
1966
Iteration of analytic Euclidean contractions. Zbl 0868.30027
Beardon, A. F.
28
1995
The Apollonian metric of a domain in \(\mathbb{R}^ n\). Zbl 0890.30030
Beardon, A. F.
26
1998
Inequalities for certain Fuchsian groups. Zbl 0235.30022
Beardon, A. F.
22
1971
A primer on Riemann surfaces. Zbl 0546.30001
Beardon, A. F.
21
1984
The dynamics of contractions. Zbl 0952.54023
Beardon, A. F.
19
1997
Symmetries of Julia sets. Zbl 0694.30023
Beardon, Alan F.
18
1990
Sums of powers of integers. Zbl 0851.11012
Beardon, A. F.
18
1996
Schwarzian derivatives, the Poincaré metric and the kernel function. Zbl 0438.30014
Beardon, A. F.; Gehring, F. W.
17
1980
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.
16
2002
The Schwarz-Pick lemma for circle packings. Zbl 0753.30016
Beardon, Alan F.; Stephenson, Kenneth
15
1991
Iteration of rational functions. Complex analytic dynamical systems. Paperback ed. Zbl 1120.30300
Beardon, Alan F.
15
2000
Complex analysis. The argument principle in analysis and topology. Zbl 0399.30001
Beardon, A. F.
14
1979
Continued fractions, discrete groups and complex dynamics. Zbl 1012.40003
Beardon, Alan F.
14
2001
A multi-point Schwarz-Pick lemma. Zbl 1055.30038
Beardon, A. F.; Minda, D.
14
2004
The zeros of linear combinations of orthogonal polynomials. Zbl 1088.42012
Beardon, A. F.; Driver, K. A.
14
2005
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
The utility theorems of Wold, Debreu, and Arrow-Hahn. Zbl 0797.90005
Beardon, Alan F.; Mehta, Ghanshyam B.
12
1994
Smale’s mean value conjecture and the hyperbolic metric. Zbl 1001.30007
Beardon, A. F.; Minda, D.; Ng, T. W.
12
2002
The theorems of Stieltjes and Favard. Zbl 1232.42023
Beardon, Alan F.
12
2011
Pell’s equation and two generator free Möbius groups. Zbl 0792.30031
Beardon, A. F.
10
1993
Random iteration of analytic maps. Zbl 1055.37053
Beardon, A. F.; Carne, T. K.; Minda, D.; Ng, T. W.
10
2004
The metric dimension of metric spaces. Zbl 1282.51004
Bau, Sheng; Beardon, Alan F.
10
2013
The geometry of Pringsheim’s continued fractions. Zbl 1002.30002
Beardon, A. F.
10
2001
On the Hausdorff dimension of general Cantor sets. Zbl 0145.05502
Beardon, A. F.
10
1965
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.
8
2002
On classical series associated with Kleinian groups. Zbl 0246.30018
Beardon, A. F.; Nicholls, P. J.
8
1972
The Schwarz-Pick Lemma for derivatives. Zbl 0883.30018
Beardon, A. F.
8
1997
Closed geodesics on a Riemann surface with application to the Markov spectrum. Zbl 0597.10024
Beardon, A. F.; Lehner, J.; Sheingorn, M.
8
1986
Utility theory and continuous monotonic functions. Zbl 0820.90005
Beardon, Alan F.
7
1994
Algebra and geometry. Zbl 1069.15001
Beardon, Alan F.
7
2005
On the convergence of Padé approximants. Zbl 0182.40501
Beardon, A. F.
7
1968
Worpitzky’s theorem on continued fractions. Zbl 0981.40002
Beardon, A. F.
7
2001
The Klein, Hilbert and Poincaré metrics of a domain. Zbl 0951.51011
Beardon, A. F.
7
1999
Entire solutions of \(f(kz)=kf(z)f^\prime(z)\). Zbl 1252.34100
Beardon, Alan F.
7
2012
Polynomials with identical Julia sets. Zbl 0751.30026
Beardon, A. F.
6
1992
The hyperbolic metric in a rectangle. II. Zbl 1075.30510
Beardon, Alan F.
6
2003
The Seidel, Stern, Stolz and van Vleck theorems on continued fractions. Zbl 1198.30044
Beardon, Alan F.; Short, Ian
6
2010
Ford and Dirichlet regions for Fuchsian groups. Zbl 0478.30033
Beardon, A. F.; Nicholls, P. J.
6
1982
Parameterizations of algebraic curves. Zbl 1098.14519
Beardon, A. F.; Ng, T. W.
6
2006
Circle packings in different geometries. Zbl 0703.52007
Beardon, A. F.; Stephenson, K.
5
1991
Utility functions and the order type of the continuum. Zbl 0819.90005
Beardon, A. F.; Mehta, G. B.
5
1994
Periodic orbits of difference equations. Zbl 0835.39006
Beardon, A. F.; Bullett, S. R.; Rippon, P. J.
5
1995
Continued fractions, Möbius transformations and Clifford algebras. Zbl 1019.30003
Beardon, A. F.
5
2003
Integral means of subharmonic functions. Zbl 0207.11004
Beardon, A. F.
5
1971
Geodesic continued fractions. Zbl 1382.11023
Beardon, A. F.; Hockman, M.; Short, I.
5
2012
Analytic contraction of the unit disc. Zbl 0913.30014
Beardon, A. F.
5
1997
Barycentric subdivision of triangles and semigroups of Möbius maps. Zbl 0869.60006
Bárány, I.; Beardon, A. F.; Carne, T. K.
5
1996
On Ritt’s factorization of polynomials. Zbl 0960.30019
Beardon, A. F.; Ng, T. W.
5
2000
Normal families: a geometric perspective. Zbl 1307.30075
Beardon, A. F.; Minda, D.
4
2014
A strengthening of the Schwarz-Pick inequality. Zbl 0753.30015
Beardon, A. F.; Carne, T. K.
4
1992
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
Repeated compositions of analytic maps. Zbl 1018.30020
Beardon, Alan F.
4
2001
The hyperbolic metric of a rectangle. Zbl 1017.30054
Beardon, A. F.
4
2001
Continued fractions and restrained sequences of Möbius maps. Zbl 1051.40005
Beardon, A. F.; Lorentzen, L.
4
2004
The generalized capacity of Cantor sets. Zbl 0169.44404
Beardon, A. F.
4
1968
Resolving the hypercube. Zbl 1286.05111
Beardon, A. F.
4
2013
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
On the isometric circles of elements in a Fuchsian group. Zbl 0309.30018
Beardon, A. F.
3
1975
Totally ordered subsets of Euclidean space. Zbl 0819.90004
Beardon, Alan F.
3
1994
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
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
Fundamental domains for Kleinian groups. Zbl 0301.30014
Beardon, A. F.
3
1974
The uniformisation of a twice-punctured disc. Zbl 1262.30037
Beardon, Alan F.
3
2012
Composition factors of polynomials. Zbl 1032.12001
Beardon, A. F.
3
2001
Some remarks on non-discrete Möbius groups. Zbl 0856.30032
Beardon, A. F.
2
1996
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
A remark on the shape of quadratic Julia sets. Zbl 0803.30020
Beardon, A. F.; Rippon, P. J.
2
1994
Analysis and topology in mathematical economics. Zbl 0832.90009
Beardon, Alan F.
2
1994
Semi-groups of analytic maps. Zbl 1015.30010
Beardon, Alan F.
2
2001
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
On the location of poles of Padé approximants. Zbl 0176.02001
Beardon, A. F.
2
1968
Efficient sets are small. Zbl 1282.91080
Beardon, Alan F.; Rowat, Colin
2
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
Utility representation of continuous preferences. Zbl 0882.90006
Beardon, A. F.
2
1997
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
Fuchsian groups and \(n^{th}\) roots of parabolic generators. Zbl 0657.20042
Beardon, A. F.
2
1988
On the \(k\)-metric dimension of metric spaces. Zbl 1431.54016
Beardon, Alan F.; Rodríguez-Velázquez, Juan Alberto
2
2019
The Heron parameters of a triangle. Zbl 1384.11054
Beardon, Alan F.; Stephenson, Paul
1
2015
On the \(k\)-metric dimension of metric spaces. Zbl 1431.54016
Beardon, Alan F.; Rodríguez-Velázquez, Juan Alberto
2
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.
4
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.
10
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
Entire solutions of \(f(kz)=kf(z)f^\prime(z)\). Zbl 1252.34100
Beardon, Alan F.
7
2012
Geodesic continued fractions. Zbl 1382.11023
Beardon, A. F.; Hockman, M.; Short, I.
5
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.
12
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
6
2010
Norms of Möbius maps. Zbl 1198.30045
Beardon, Alan F.; Short, Ian
2
2010
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
Euclidean and hyperbolic lengths of images of arcs. Zbl 1153.30007
Beardon, A. F.; Carne, T. K.
1
2008
The hyperbolic metric and geometric function theory. Zbl 1208.30001
Beardon, A. F.; Minda, D.
73
2007
Parameterizations of algebraic curves. Zbl 1098.14519
Beardon, A. F.; Ng, T. W.
6
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.
14
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.
14
2004
Random iteration of analytic maps. Zbl 1055.37053
Beardon, A. F.; Carne, T. K.; Minda, D.; Ng, T. W.
10
2004
Continued fractions and restrained sequences of Möbius maps. Zbl 1051.40005
Beardon, A. F.; Lorentzen, L.
4
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
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
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.
38
2002
Sphere-preserving maps in inversive geometry. Zbl 0988.30005
Beardon, A. F.; Minda, D.
16
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.
8
2002
Continued fractions, discrete groups and complex dynamics. Zbl 1012.40003
Beardon, Alan F.
14
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
Repeated compositions of analytic maps. Zbl 1018.30020
Beardon, Alan F.
4
2001
The hyperbolic metric of a rectangle. Zbl 1017.30054
Beardon, A. 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.
2
2001
Approximants of Śleszyński-Pringsheim continued fractions. Zbl 0989.40004
Beardon, Alan; Lorentzen, Lisa
1
2001
The Worpitzky-Pringsheim theorem on continued fractions. Zbl 0984.30004
Beardon, A. F.
1
2001
The geometry of Riemann surfaces. Zbl 1014.30028
Beardon, A. F.
1
2001
Iteration of rational functions. Complex analytic dynamical systems. Paperback ed. Zbl 1120.30300
Beardon, Alan F.
15
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.
7
1999
The Apollonian metric of a domain in \(\mathbb{R}^ n\). Zbl 0890.30030
Beardon, A. F.
26
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.
8
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.
18
1996
Barycentric subdivision of triangles and semigroups of Möbius maps. Zbl 0869.60006
Bárány, I.; Beardon, A. F.; Carne, T. K.
5
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.
28
1995
Periodic orbits of difference equations. Zbl 0835.39006
Beardon, A. F.; Bullett, S. R.; Rippon, P. J.
5
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.
12
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
A remark on the shape of quadratic Julia sets. Zbl 0803.30020
Beardon, A. F.; Rippon, P. J.
2
1994
Analysis and topology in mathematical economics. Zbl 0832.90009
Beardon, Alan F.
2
1994
Pell’s equation and two generator free Möbius groups. Zbl 0792.30031
Beardon, A. F.
10
1993
Debreu’s gap theorem. Zbl 0808.90010
Beardon, A. F.
12
1992
Polynomials with identical Julia sets. Zbl 0751.30026
Beardon, A. F.
6
1992
A strengthening of the Schwarz-Pick inequality. Zbl 0753.30015
Beardon, A. F.; Carne, T. K.
4
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.
239
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
15
1991
Circle packings in different geometries. Zbl 0703.52007
Beardon, A. F.; Stephenson, K.
5
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
34
1990
Symmetries of Julia sets. Zbl 0694.30023
Beardon, Alan F.
18
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.
1
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
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 primer on Riemann surfaces. Zbl 0546.30001
Beardon, A. F.
21
1984
The norm of a Möbius transformation. Zbl 0555.30032
Beardon, A. F.; Wilker, J. B.
4
1984
The geometry of discrete groups. Zbl 0528.30001
Beardon, Alan F.
446
1983
Ford and Dirichlet regions for Fuchsian groups. Zbl 0478.30033
Beardon, A. F.; Nicholls, P. J.
6
1982
Canonical generators of Fuchsian groups. Zbl 0456.30037
Beardon, A. F.
1
1981
Strongly discrete subgroups of SL(2,C). Zbl 0469.30039
Beardon, A. F.; Waterman, P. L.
1
1981
Schwarzian derivatives, the Poincaré metric and the kernel function. Zbl 0438.30014
Beardon, A. F.; Gehring, F. W.
17
1980
Fundamental domains and cyclic subgroups of Fuchsian groups. Zbl 0436.30036
Beardon, A. F.
1
1980
...and 22 more Documents
all top 5

Cited by 1,536 Authors

35 Beardon, Alan Frank
22 Vuorinen, Matti Keijo Kustaa
19 Martin, Gaven J.
17 Induráin, Esteban
14 Candeal, Juan Carlos
14 Sugawa, Toshiyuki
14 Wang, Xiantao
13 Bergweiler, Walter
13 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 Ukhlov, Alexander Dadar-Oolovich
9 Canary, Richard D.
9 Gao, Junyang
9 Jordaan, Kerstin
9 Stephenson, Kenneth
9 Sun, Taixiang
9 Wang, Yuefei
8 Betsakos, Dimitrios
8 Ibragimov, Zair
8 Kim, Young Ik
8 Rodríguez García, José Manuel
8 Xi, Hongjian
7 Apanasov, Boris Nikolaevich
7 Basmajian, Ara S.
7 Gutiérrez, José Manuel
7 Lins, Brian
7 Lorentzen, Lisa
7 Stratmann, Bernd O.
7 Tukia, Pekka
6 Bishop, Christopher James
6 Campos, Beatriz
6 Fang, Ainong
6 Gehring, Frederick William
6 Geum, Young Hee
6 Gongopadhyay, Krishnendu
6 Hästö, Peter A.
6 Hawkins, Jane M.
6 Herden, Gerhard
6 Herron, David A.
6 Hinkkanen, Aimo
6 Jaerisch, Johannes
6 Kapovich, Michael
6 Magreñán, Ángel Alberto
6 Paulin, Frédéric
6 Schmidt, Thomas A.
6 Sumi, Hiroki
6 Vindel, Pura
6 Watson, William Stephen
6 Williams, G. Brock
6 Zhang, Chaohui
5 Akaza, Tohru
5 Avkhadiev, Farit Gabidinovich
5 Bobenko, Alexander Ivanovich
5 Bonfert-Taylor, Petra
5 Bosi, Gianni
5 Cordero, Alicia
5 Falk, Kurt
5 Fletcher, Alastair N.
5 Furusawa, Harushi
5 Gilman, Jane P.
5 Haas, Andrew
5 Hidalgo, Rubén Antonio
5 Hockman, Meira
5 Huang, Manzi
5 Jørgensen, Palle E. T.
5 Jorgenson, Jay Alan
5 Klén, Riku
5 Maskit, Bernard
5 Matsuzaki, Katsuhiko
5 Mejía, Diego Alejandro
5 Palazzo, Reginaldo jun.
5 Parkkonen, Jouni
5 Pommerenke, Christian
5 Qiao, Jianyong
5 Reid, Alan W.
5 Rippon, Philip Jonathan
5 Roth, Oliver
5 Stallard, Gwyneth Mary
5 Taylor, Edward C.
5 Torregrosa Sanchez, Juan Ramón
5 Touris, Eva
5 Vamanamurthy, Mavina Krishna
5 Wang, Gendi
5 Wegert, Elias
5 Xiao, Yingqing
5 Yang, Shihai
4 Abu-Muhanna, Yusuf
4 Aseev, Vladislav Vasil’evich
4 Boskoff, Wladimir-Georges
4 Bowers, Philip L.
4 Bridgeman, Martin J.
4 Crane, Edward
4 Crowdy, Darren Gregory
4 Cui, Guizhen
...and 1,436 more Authors
all top 5

Cited in 317 Serials

65 Proceedings of the American Mathematical Society
64 Transactions of the American Mathematical Society
62 Computational Methods and Function Theory
51 Conformal Geometry and Dynamics
44 Journal of Mathematical Analysis and Applications
37 Journal d’Analyse Mathématique
30 Geometriae Dedicata
27 Duke Mathematical Journal
23 Advances in Mathematics
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
18 Topology and its Applications
17 Bulletin of the American Mathematical Society. New Series
16 Annales de l’Institut Fourier
15 Acta Mathematica
15 Applied Mathematics and Computation
15 Siberian Mathematical Journal
13 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 Journal of Approximation Theory
11 Ergodic Theory and Dynamical Systems
11 Linear Algebra and its Applications
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 Chaos, Solitons and Fractals
9 Michigan Mathematical Journal
9 Monatshefte für Mathematik
9 Proceedings of the Japan Academy. Series A
9 Journal of Difference Equations and Applications
8 Indagationes Mathematicae. New Series
8 Experimental Mathematics
8 Science China. Mathematics
7 Arkiv för Matematik
7 Publications Mathématiques
7 Journal of Functional Analysis
7 Journal of Number Theory
7 Kodai Mathematical Journal
7 Results in Mathematics
7 Discrete & Computational Geometry
7 Science in China. Series A
7 The Journal of Analysis
7 Discrete and Continuous Dynamical Systems
7 Annals of Mathematics. Second Series
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 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 Manuscripta Mathematica
5 Constructive Approximation
5 Journal of the American Mathematical Society
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Expositiones Mathematicae
5 Annales Academiae Scientiarum Fennicae. Mathematica
5 Journal of the Australian Mathematical Society
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 International Journal of Theoretical Physics
4 Journal of Mathematical Physics
4 Mathematical Notes
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 Osaka Journal of Mathematics
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Chinese Annals of Mathematics. Series B
4 Differential Geometry and its Applications
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
...and 217 more Serials
all top 5

Cited in 59 Fields

743 Functions of a complex variable (30-XX)
360 Dynamical systems and ergodic theory (37-XX)
201 Group theory and generalizations (20-XX)
146 Number theory (11-XX)
139 Manifolds and cell complexes (57-XX)
126 Differential geometry (53-XX)
110 Geometry (51-XX)
102 Several complex variables and analytic spaces (32-XX)
66 Convex and discrete geometry (52-XX)
61 Combinatorics (05-XX)
58 Numerical analysis (65-XX)
49 General topology (54-XX)
48 Topological groups, Lie groups (22-XX)
45 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)
41 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 Difference and functional equations (39-XX)
31 Linear and multilinear algebra; matrix theory (15-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)
18 Sequences, series, summability (40-XX)
18 Approximations and expansions (41-XX)
16 Statistical mechanics, structure of matter (82-XX)
14 Computer science (68-XX)
12 Mathematical logic and foundations (03-XX)
9 Field theory and polynomials (12-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)
7 Associative rings and algebras (16-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)
4 Mathematics education (97-XX)
3 Algebraic topology (55-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 Mechanics of deformable solids (74-XX)
2 Fluid mechanics (76-XX)
1 \(K\)-theory (19-XX)
1 Integral equations (45-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Citations by Year

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