Christian Pommerenke

Christian Pommerenke's AcademicInfluence.com Rankings

Mathematics

#5693

World Rank

#7997

Historical Rank

Complex Analysis

World Rank

#20

Historical Rank

Measure Theory

#891

World Rank

#1166

Historical Rank

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Mathematics

Christian Pommerenke's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Christian Pommerenke's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Boundary Behaviour of Conformal Maps (1992) (1768)
On Bloch functions and normal functions. (1974) (451)
On Automorphic Functions (1981) (249)
On Analytic Functions of Bounded Mean Oscillation (1978) (229)
On the Coefficients and Hankel Determinants of Univalent Functions (1966) (207)
On the Hausdorff dimension of quasicircles (1987) (189)
The Poincaré Metric of Plane Domains (1978) (167)
Uniformly perfect sets and the Poincaré metric (1979) (150)
On the Hankel determinants of univalent functions (1967) (136)
On Bloch Functions (1970) (133)
Linear-invariante Familien analytischer Funktionen II (1964) (126)
Padé approximants and convergence in capacity (1973) (112)
Linear-invariante Familien analytischer Funktionen I (1964) (110)
On faber polynomials and faber expansions (1967) (95)
On the Iteration of Analytic Functions in a Halfplane, I (1979) (92)
On Starlike and Close‐to‐Convex Functions (1963) (92)
On close-to-convex analytic functions (1965) (91)
On meromorphic starlike functions (1963) (88)
On the Nehari univalence criterion and quasicircles (1984) (84)
On univalent functions, Bloch functions and VMOA (1978) (81)
On the Green's function of Fuchsian groups (1976) (78)
On boundary critical points for semigroups of analytic functions (2006) (71)
The de Branges theorem on univalent functions (1985) (70)
On the mean growth of the solutions of complex linear differential equations in the disk (1982) (68)
On the coefficients of close-to-convex functions. (1962) (66)
On the coefficients of univalent functions. (1967) (65)
Inequalities for the Angular Derivative of an Analytic Function in the Unit Disk (1982) (62)
On Starlike and Convex Functions (1962) (53)
ON UNIFORMLY PERFECT SETS AND FUCHSIAN CROUPS (1984) (53)
On the derivative of a polynomial. (1959) (50)
Hölder continuity of conformal mappings and non-quasiconformal Jordan curves (1982) (47)
On conformal mapping and iteration of rational functions (1986) (40)
On the boundary behavior of conformal maps. (1967) (40)
John domains, quasidisks, and the Nehari class. (1996) (40)
On the quantitative boundary behavior of conformal maps (1982) (39)
On normal meromorphic functions (1973) (39)
On the Integral Means of the Derivative of a Univalent Function (1985) (37)
Sharp inequalities for the coefficients of concave schlicht functions (2006) (36)
Fixed points and boundary behaviour of the Koenigs function (2004) (35)
Angular derivatives of bounded univalent functions and extremal partitions of the unit disk (2002) (34)
Problems in Complex Function Theory (1972) (34)
One-Sided Smoothness Conditions and Conformal Mapping (1982) (34)
On the coefficients of concave univalent functions (2004) (33)
Integral operators mapping into the space of bounded analytic functions (2016) (32)
On concave univalent functions (2007) (32)
Some remarks on the Abel equation in the unit disk (2007) (32)
On the Loewner differential equation. (1966) (30)
On metric properties of complex polynomials. (1961) (27)
Second angular derivatives and parabolic iteration in the unit disk (2009) (25)
Locally univalent functions, VMOA and the Dirichlet space (2013) (25)
On the logarithmic capacity and conformal mapping (1968) (25)
On ergodic properties of inner functions (1981) (23)
On conformal mapping and linear measure (1986) (23)
Hölder continuity of conformal maps with quasiconformal extension (1988) (22)
Intrinsic rotations of simply connected regions, II (1984) (21)
On normal and automorphic functions. (1975) (20)
ON COEFFICIENTS, BOUNDARY SIZE AND H ¨ OLDER DOMAINS (1997) (20)
Relations between the coefficients of a univalent function (1967) (19)
Characteristic properties of Nehari functions (1999) (18)
Lacunary power series and univalent functions. (1964) (18)
On hyperbolically convex functions (2000) (16)
On the Coefficients of Close‐to‐Convex Univalent Functions (1966) (16)
On Chebyshev polynomials and GL(2;Z=pZ) (2012) (15)
MULTIVALENT FUNCTIONS (Cambridge Tracts in Mathematics 110) (1996) (15)
On spherically convex univalent functions. (2000) (14)
On Fuchsian groups of accessible type (1982) (14)
Chapter 2 - Conformal Maps at the Boundary (2002) (14)
The Grunsky Norm and Some Coefficient Estimates for Bounded Functions (1997) (14)
On the radial limits of functions with Hadamard gaps. (1985) (13)
The Analytic Fixed Point Function in the Disk (2006) (13)
Distortion theorems for hyperbolically convex functions (2001) (13)
On bounded univalent functions and the angular derivative (2000) (12)
On the Epstein Univalence Criterion (1986) (12)
On inclusion relations for spaces of automorphic forms (1976) (12)
Polymorphic functions for groups of divergence type (1982) (11)
Holomorphic families of Riemann mapping functions (1986) (11)
On the derivative of hyperbolically convex functions (2002) (11)
On Asymptotic Iteration of Analytic Functions in the Disk (1981) (10)
On the angular derivative and univalence (1977) (10)
The integral means spectrum of univalent functions (1999) (10)
On analytic functions with cluster sets of finite linear measure. (1987) (10)
On automorphic forms and Carleson sets. (1976) (9)
On some problems by Erdős, Herzog and Piranian. (1959) (9)
On Prime Ends and Plane Continua (2002) (9)
On some metric properties of polynomials with real zeros. II. (1959) (8)
The growth of the derivative of a univalent function (1986) (8)
Images of convex domains under convex conformal mappings. (1962) (8)
On a variational method for univalent functions. (1970) (8)
The bieberbach conjecture (1985) (8)
Hyperbolically Convex Functions, Dimension and Capacity (2002) (7)
On the hyperbolic capacity and conformal mapping (1963) (7)
On the Integral means of the Derivative of a Univalent Function, II (1985) (7)
On the coefficients of certain automorphic functions (1977) (7)
Locally Univalent Functions and the Bloch and Dirichlet Norm (2016) (6)
On the Absolute Convergence of Power Series with Hadamard Gaps (1983) (6)
On the boundary behavior of Bloch functions (1988) (6)
The grunsky operator and coefficient differences (1997) (6)
On the Two-Parabolic Subgroups of SL(2,C) (2011) (6)
Circular distortion of curves and quasicircles (1989) (6)
Analytic self-mappings of infinite order of Riemann surfaces (1980) (6)
ON THE BOUNDARY CONTINUITY OF CONFORMAL MAPS (1985) (6)
On a function-theoretic ruin problem (2007) (6)
Decomposition of Continua and Prime Ends (2004) (6)
On sequences of subordinate functions. (1960) (6)
On the path properties of a lacunary power series (2014) (6)
Angular Derivatives for Holomorphic Self-Maps of the Disk (2017) (6)
On the Growth of the Coefficients of Analytic Functions (1972) (6)
On some universal bounds for Fuchsian groups (1983) (6)
Borel images and analytic functions (2004) (5)
Two Examples of Covering Surf Aces (1981) (5)
THE ANALYTIC FIXED POINT FUNCTION II (2006) (5)
On the boundary behavior of analytic functions without Koebe arcs (1970) (5)
Capacities and Bergman kernels for Riemann surfaces and Fuchsian groups (1984) (5)
On hyperbolic capacity and hyperbolic length. (1963) (5)
Analytic Families of Homomorphisms into PSL(2, ℂ) (2010) (5)
The Gehring-Hayman Inequality in Conformal Mapping (1998) (5)
On the Lower Order of Locally Univalent Functions (2008) (5)
On Bloch functions and gap series. (1986) (4)
The radial growth of univalent functions (2004) (4)
On the grunsky inequalities for univalent functions (1969) (4)
On Meromorphic Functions with Growth Conditions (1988) (4)
On conformal mapping and linear measure (1986) (4)
On the coefficients of small univalent functions (1998) (4)
On the argument oscillation of conformal maps. (1999) (4)
Some Basic Facts (1992) (4)
On the angular limits of Bloch functions. (1988) (3)
On the stationary measures of critical branching processes (1981) (3)
On dominance in hadamard gap series (1987) (3)
Conformal Images of Borel Sets (2003) (3)
On boundary size and conformal mapping (1989) (3)
On Fuchsian groups of divergence type. (1981) (3)
On Graphical Representation and Conformal Mapping (1987) (3)
Hankel determinants and meromorphic functions (1969) (3)
On the Growth of Functions with Hadamard Gaps (1984) (3)
A Möbius-Invariant Family of Conformal Maps (2004) (3)
Twisting Behaviour of Conformal Maps (1997) (3)
On the boundary derivative for univalent functions (1987) (2)
Boundary behavior of the iterates of a self-map of the unit disk (2012) (2)
On the parametrized modular group (2015) (2)
Discrete Space-time and Lorentz Transformations (2016) (2)
On the Green's fundamental domain (1977) (2)
On the Two-Parabolic Subgroups of (2011) (2)
On bloch functions and conformal mapping (1993) (2)
LINEAR INVARIANT FAMILIES OF ANALYTIC FUNCTIONS, PART II (LINEAR-INVARIANTE FAMILIEN ANALYTISCHER FUNKTIONEN II), (1963) (2)
An Integral Representation Formula of the Schwarzian Derivative (2001) (2)
On the growth of univalent functions. (1968) (2)
Free subgroups of the parametrized modular group (2016) (2)
On the growth of normal analytic functions (1979) (2)
On the Angular Boundedness of Bloch functions. (1989) (1)
On radial behaviour and balanced Bloch functions (1999) (1)
Some examples of power series with non-Hadamard gaps (1984) (1)
Local Boundary Behaviour (1992) (1)
A generalization of the parametrized modular group (2018) (1)
On composition sequences in the unit disk. (1994) (1)
Horocyclically convex univalent functions (2005) (1)
On the asymptotic values of locally univalent meromorphic functions. (1971) (1)
On the Bernstein-Szegö Theorem for Complex Polynomials (1969) (1)
On the integral means and schwarzian derivative (1999) (1)
On the Structure of the Schild Group in Relativity Theory (2017) (1)
On the Two-Parabolic Subgroups of SL(2,\mathbbC) (2011) (0)
On the Boundary Behaviour of Polymorphic Functions (2012) (0)
Locally Univalent Functions and the Bloch and Dirichlet Norm (2015) (0)
On a family of groups generated by parabolic matrices (2019) (0)
Smirnov and Lavrentiev Domains (1992) (0)
AMFamily of Conformal Maps (2002) (0)
Smoothness and Corners (1992) (0)
Curve Families and Capacity (1992) (0)
Shabat polynomials and conformal mapping (2019) (0)
Pacific Journal of Mathematics Characteristic Properties of Nehari Functions (1999) (0)
Angular Derivatives for Holomorphic Self-Maps of the Disk (2017) (0)
On simultaneous homomorphisms onto kleinian groups (1995) (0)
On hyperbolically convex conformal mappings. (1998) (0)
Knot groups with two generators (2011) (0)
On gap series and the Lehto-Virtanen maximum principle (1985) (0)
On inequalities for bounded univalent functions (2019) (0)
On bounded distortion in conformal mapping (1986) (0)
On Schwarz–Christoffel mappings (2012) (0)
Proceedings of the Symposium on Complex Analysis Canterbury 1973: On the boundary behaviour of normal functions (1974) (0)
The growth of univalent functions with an initial gap II (2007) (0)
On geometric estimates for univalent functions (2020) (0)
[The microlaryngeal tube--a new tube for direct laryngoscopy in the ENT field]. (1989) (0)
On discretizations of cumulative distribution functions (2011) (0)
Level curves for analytic self-maps of the unit disk (2019) (0)
On analytic families of conformal maps (2017) (0)
On the parametrized modular group (2015) (0)
On annular functions with hadamard gaps (1984) (0)
Level curves for analytic self-maps of the unit disk (2019) (0)
Deformation for Positive Characteristic Varieties by Galois theory (2014) (0)
LAURENT SEPARATION, THE WIENER ALGEBRA AND RANDOM WALKS (2010) (0)
Continuity and Prime Ends (1992) (0)

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Published Works

Christian Pommerenke's AcademicInfluence.com Rankings