Christian Pommerenke
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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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(Suggest an Edit or Addition)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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