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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; Beardon, Alan F.
External Links: MGP · Wikidata · GND
Documents Indexed: 164 Publications since 1965, including 10 Books
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

Publications by Year

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 0528.30001
Beardon, Alan F.
487
1983
Iteration of rational functions. Complex analytic dynamical systems. Zbl 0742.30002
Beardon, Alan F.
272
1991
Limit points of Kleinian groups and finite sided fundamental polyhedra. Zbl 0277.30017
Beardon, Alan F.; Maskit, Bernard
91
1974
The Poincaré metric of plane domains. Zbl 0399.30008
Beardon, A. F.; Pommerenke, Ch.
72
1978
The hyperbolic metric and geometric function theory. Zbl 1208.30001
Beardon, A. F.; Minda, D.
65
2007
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 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 components of a Julia set. Zbl 0757.30034
Beardon, A. F.
38
1991
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.
29
1995
The Apollonian metric of a domain in \(\mathbb{R}^ n\). Zbl 0890.30030
Beardon, A. F.
25
1998
A primer on Riemann surfaces. Zbl 0546.30001
Beardon, A. F.
22
1984
Inequalities for certain Fuchsian groups. Zbl 0235.30022
Beardon, A. F.
22
1971
The dynamics of contractions. Zbl 0952.54023
Beardon, A. F.
18
1997
Symmetries of Julia sets. Zbl 0694.30023
Beardon, Alan F.
18
1990
Sums of powers of integers. Zbl 0851.11012
Beardon, A. F.
17
1996
Sphere-preserving maps in inversive geometry. Zbl 0988.30005
Beardon, A. F.; Minda, D.
16
2002
Iteration of rational functions. Complex analytic dynamical systems. Paperback ed. Zbl 1120.30300
Beardon, Alan F.
16
2000
Iteration of contractions and analytic maps. Zbl 0662.30017
Beardon, A. F.
16
1990
Schwarzian derivatives, the Poincaré metric and the kernel function. Zbl 0438.30014
Beardon, A. F.; Gehring, F. W.
16
1980
A multi-point Schwarz-Pick lemma. Zbl 1055.30038
Beardon, A. F.; Minda, D.
15
2004
The Schwarz-Pick lemma for circle packings. Zbl 0753.30016
Beardon, Alan F.; Stephenson, Kenneth
15
1991
The zeros of linear combinations of orthogonal polynomials. Zbl 1088.42012
Beardon, A. F.; Driver, K. A.
14
2005
Continued fractions, discrete groups and complex dynamics. Zbl 1012.40003
Beardon, Alan F.
14
2001
Fibonacci, Chebyshev, and orthogonal polynomials. Zbl 1138.11308
Aharonov, Dov; Beardon, Alan; Driver, Kathy
13
2005
Complex analysis. The argument principle in analysis and topology. Zbl 0399.30001
Beardon, A. F.
13
1979
The theorems of Stieltjes and Favard. Zbl 1232.42023
Beardon, Alan F.
12
2011
Smale’s mean value conjecture and the hyperbolic metric. Zbl 1001.30007
Beardon, A. F.; Minda, D.; Ng, T. W.
12
2002
The utility theorems of Wold, Debreu, and Arrow-Hahn. Zbl 0797.90005
Beardon, Alan F.; Mehta, Ghanshyam B.
12
1994
Debreu’s gap theorem. Zbl 0808.90010
Beardon, A. F.
12
1992
Random iteration of analytic maps. Zbl 1055.37053
Beardon, A. F.; Carne, T. K.; Minda, D.; Ng, T. W.
10
2004
The geometry of Pringsheim’s continued fractions. Zbl 1002.30002
Beardon, A. F.
10
2001
Pell’s equation and two generator free Möbius groups. Zbl 0792.30031
Beardon, A. F.
10
1993
On the Hausdorff dimension of general Cantor sets. Zbl 0145.05502
Beardon, A. F.
10
1965
The metric dimension of metric spaces. Zbl 1282.51004
Bau, Sheng; Beardon, Alan F.
9
2013
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
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
On classical series associated with Kleinian groups. Zbl 0246.30018
Beardon, A. F.; Nicholls, P. J.
8
1972
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
Worpitzky’s theorem on continued fractions. Zbl 0981.40002
Beardon, A. F.
7
2001
Utility theory and continuous monotonic functions. Zbl 0820.90005
Beardon, Alan F.
7
1994
On the convergence of Padé approximants. Zbl 0182.40501
Beardon, A. F.
7
1968
The Seidel, Stern, Stolz and van Vleck theorems on continued fractions. Zbl 1198.30044
Beardon, Alan F.; Short, Ian
6
2010
Parameterizations of algebraic curves. Zbl 1098.14519
Beardon, A. F.; Ng, T. W.
6
2006
The hyperbolic metric in a rectangle. II. Zbl 1075.30510
Beardon, Alan F.
6
2003
The Klein, Hilbert and Poincaré metrics of a domain. Zbl 0951.51011
Beardon, A. F.
6
1999
Polynomials with identical Julia sets. Zbl 0751.30026
Beardon, A. F.
6
1992
Ford and Dirichlet regions for Fuchsian groups. Zbl 0478.30033
Beardon, A. F.; Nicholls, P. J.
6
1982
Geodesic continued fractions. Zbl 1382.11023
Beardon, A. F.; Hockman, M.; Short, I.
5
2012
Continued fractions, Möbius transformations and Clifford algebras. Zbl 1019.30003
Beardon, A. F.
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
Barycentric subdivision of triangles and semigroups of Möbius maps. Zbl 0869.60006
Bárány, I.; Beardon, A. F.; Carne, T. K.
5
1996
Periodic orbits of difference equations. Zbl 0835.39006
Beardon, A. F.; Bullett, S. R.; Rippon, P. J.
5
1995
Utility functions and the order type of the continuum. Zbl 0819.90005
Beardon, A. F.; Mehta, G. B.
5
1994
Circle packings in different geometries. Zbl 0703.52007
Beardon, A. F.; Stephenson, K.
5
1991
The norm of a Möbius transformation. Zbl 0555.30032
Beardon, A. F.; Wilker, J. B.
5
1984
Resolving the hypercube. Zbl 1286.05111
Beardon, A. F.
4
2013
Continued fractions and restrained sequences of Möbius maps. Zbl 1051.40005
Beardon, A. F.; Lorentzen, L.
4
2004
On the pointwise limit of complex analytic functions. Zbl 1187.30003
Beardon, Alan F.; Minda, David
4
2003
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
Spiral hexagonal circle packings in the plane. Zbl 0796.52002
Beardon, Alan F.; Dubejko, Tomasz; Stephenson, Kenneth
4
1994
A strengthening of the Schwarz-Pick inequality. Zbl 0753.30015
Beardon, A. F.; Carne, T. K.
4
1992
Lie products, closed geodesics and Fuchsian groups. Zbl 0494.53040
Beardon, Alan F.
4
1982
Hyperbolic polygons and Fuchsian groups. Zbl 0407.51007
Beardon, A. F.
4
1979
Integral means of subharmonic functions. Zbl 0207.11004
Beardon, A. F.
4
1971
The generalized capacity of Cantor sets. Zbl 0169.44404
Beardon, A. F.
4
1968
Normal families: a geometric perspective. Zbl 1307.30075
Beardon, A. F.; Minda, D.
3
2014
The Hillam-Thron theorem in higher dimensions. Zbl 1012.40004
Beardon, Alan F.
3
2003
Composition factors of polynomials. Zbl 1032.12001
Beardon, A. F.
3
2001
Symmetries of Julia sets. Zbl 0847.30019
Beardon, A. F.
3
1996
Totally ordered subsets of Euclidean space. Zbl 0819.90004
Beardon, Alan F.
3
1994
An introduction to hyperbolic geometry. Zbl 0755.30001
Beardon, Alan F.
3
1991
Fuchsian groups and \(n^{th}\) roots of parabolic generators. Zbl 0657.20042
Beardon, A. F.
3
1988
On the isometric circles of elements in a Fuchsian group. Zbl 0309.30018
Beardon, A. F.
3
1975
Fundamental domains for Kleinian groups. Zbl 0301.30014
Beardon, A. F.
3
1974
The differentiation of a composite function. Zbl 0227.26005
Beardon, A. F.
3
1971
Montel’s theorem for subharmonic functions and solutions of partial differential equations. Zbl 0207.11003
Beardon, A. F.
3
1971
On the \(k\)-metric dimension of metric spaces. Zbl 1431.54016
Beardon, Alan F.; Rodríguez-Velázquez, Juan Alberto
2
2019
Efficient sets are small. Zbl 1282.91080
Beardon, Alan F.; Rowat, Colin
2
2013
The uniformisation of a twice-punctured disc. Zbl 1262.30037
Beardon, Alan F.
2
2012
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
Conformal automorphisms of finitely connected regions. Zbl 1156.30007
Beardon, A. F.; Minda, D.
2
2008
Dieudonné points of holomorphic self-maps of regions. Zbl 1153.30022
Beardon, A. F.; Minda, D.
2
2008
The pointwise convergence of Möbius maps. Zbl 1087.30040
Beardon, A. F.
2
2004
Semi-groups of analytic maps. Zbl 1015.30010
Beardon, Alan F.
2
2001
Utility representation of continuous preferences. Zbl 0882.90006
Beardon, A. F.
2
1997
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
A remark on the shape of quadratic Julia sets. Zbl 0803.30020
Beardon, A. F.; Rippon, P. J.
2
1994
Two examples of Julia sets. Zbl 0751.30027
Beardon, A. F.
2
1992
On the location of poles of Padé approximants. Zbl 0176.02001
Beardon, A. F.
2
1968
A geometric representation of continued fractions. Zbl 1316.40002
Beardon, Alan F.; Short, Ian
1
2014
On the \(k\)-metric dimension of metric spaces. Zbl 1431.54016
Beardon, Alan F.; Rodríguez-Velázquez, Juan Alberto
2
2019
Normal families: a geometric perspective. Zbl 1307.30075
Beardon, A. F.; Minda, D.
3
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.
9
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.
2
2012
The divergence of two hyperbolic geodesics. Zbl 1244.30065
Beardon, Alan F.; Minda, David
1
2012
Conformal images and the angle of parallelism. Zbl 1317.30012
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
Conformal automorphisms of finitely connected regions. Zbl 1156.30007
Beardon, A. F.; Minda, D.
2
2008
Dieudonné points of holomorphic self-maps of regions. Zbl 1153.30022
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.
65
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.
15
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
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.
1
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
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.
2
2001
The Worpitzky-Pringsheim theorem on continued fractions. Zbl 0984.30004
Beardon, A. F.
1
2001
Approximants of Śleszyński-Pringsheim continued fractions. Zbl 0989.40004
Beardon, Alan; Lorentzen, Lisa
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.
16
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.
6
1999
The Apollonian metric of a domain in \(\mathbb{R}^ n\). Zbl 0890.30030
Beardon, A. F.
25
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.
18
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.
17
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.
29
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
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.
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.
272
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.
3
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.
16
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
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.
22
1984
The norm of a Möbius transformation. Zbl 0555.30032
Beardon, A. F.; Wilker, J. B.
5
1984
The geometry of discrete groups. Zbl 0528.30001
Beardon, Alan F.
487
1983
Ford and Dirichlet regions for Fuchsian groups. Zbl 0478.30033
Beardon, A. F.; Nicholls, P. J.
6
1982
Lie products, closed geodesics and Fuchsian groups. Zbl 0494.53040
Beardon, Alan F.
4
1982
Strongly discrete subgroups of SL(2,C). Zbl 0469.30039
Beardon, A. F.; Waterman, P. L.
1
1981
Canonical generators of Fuchsian groups. Zbl 0456.30037
Beardon, A. F.
1
1981
Schwarzian derivatives, the Poincaré metric and the kernel function. Zbl 0438.30014
Beardon, A. F.; Gehring, F. W.
16
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 1,575 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
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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

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