Walter Hayman
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British mathematician
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Mathematics
Why Is Walter Hayman Influential?
(Suggest an Edit or Addition)According to Wikipedia, Walter Kurt Hayman FRS was a British mathematician known for contributions to complex analysis. He was a professor at Imperial College London. Life and work Hayman was born in Cologne, Germany, the son of Roman law professor Franz Haymann and Ruth Therese Hensel, daughter of mathematician Kurt Hensel. He was a great-grandson of acclaimed composer Fanny Mendelssohn. Because of his Jewish heritage, he left Germany, then under Nazi rule, alone by train in 1938. He continued his schooling at Gordonstoun School, and later at St John's College, Cambridge under John Edensor Littlewood and his doctoral advisor Mary Cartwright. He taught at King's College, Newcastle, and the University of Exeter.
Walter Hayman'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
- On the characteristic of functions meromorphic in the unit disk and of their integrals (1964) (592)
- Picard Values of Meromorphic Functions and their Derivatives (1959) (467)
- The Local Growth of Power Series: A Survey of the Wiman-Valiron Method (1974) (263)
- On Analytic Functions of Bounded Mean Oscillation (1978) (229)
- A Generalisation of Stirling's Formula. (1956) (219)
- Research Problems in Function Theory (1967) (186)
- Inequalities in the Theory of Functions (1949) (183)
- LECTURES ON ENTIRE FUNCTIONS (Translations of Mathematical Monographs 150) (1998) (164)
- TOPICS IN COMPLEX FUNCTION THEORY VOL. II (1971) (161)
- Research Problems in Complex Analysis (1977) (135)
- The spherical derivative of integral and meromorphic functions (1965) (134)
- On the Second Hankel Determinant of Mean Univalent Functions (1968) (114)
- Eigenvalue inequalities for the dirichlet problem on spheres and the growth of subharmonic functions (1976) (113)
- Multivalent Functions: Contents (1994) (102)
- Slowly growing integral and subharmonic functions (1960) (99)
- On the Characteristic of Functions Meromorphic in the Plane and of their Integrals (1965) (86)
- Complex function theory (1969) (81)
- On the growth of a meromorphic function and its derivatives (1989) (79)
- Some bounds for principal frequency (1978) (71)
- The Strength of Cartan's Version of Nevanlinna Theory (2004) (67)
- On Successive Coefficients of Univalent Functions (1963) (57)
- Representation and Uniqueness Theorems for Polyharmonic Functions (1993) (55)
- Angular Value Distribution of Power Series with Gaps (1972) (55)
- Differential inequalities and local valency (1973) (51)
- Functions of a Complex Variable (1969) (49)
- Some applications of the transfinite diameter to the theory of functions (1951) (47)
- COMPLEX FUNCTIONS An Algebraic and Geometric Viewpoint (1988) (47)
- Level sets of univalent functions (1981) (45)
- The Asymptotic Behaviour of p‐Valent Functions (1955) (43)
- The Minimum Modulus of Large Integral Functions (1952) (42)
- On Functions with Positive Real Part (1961) (38)
- Power Series Expansions for Harmonic Functions (1970) (32)
- The Best Harmonic Approximant to a Continuous Function (1984) (32)
- On Iversen's theorem for meromorphic functions with few poles (1978) (31)
- On Normal Functions (1971) (30)
- On the computation of modules of long quadrilaterals (1991) (30)
- 17.—An Upper Bound for the Largest Zero of Hermite's Function with Applications to Subharmonic Functions (1976) (30)
- BEIJING LECTURES IN HARMONIC ANALYSIS (2006) (28)
- Analytic functions satisfying Hölder conditions on the boundary (1982) (28)
- Bases for Positive Continuous Functions (1990) (27)
- Classical and modern potential theory and applications (1994) (27)
- An extension of the Riesz-Herglotz formula (1976) (25)
- REAL BARGMANN SPACES, FISCHER DECOMPOSITIONS AND SETS OF UNIQUENESS FOR POLYHARMONIC FUNCTIONS (2017) (25)
- Interpolation by bounded functions (1958) (23)
- On a conjecture of Littlewood (1979) (23)
- On Nevanlinna’s second theorem and extensions (1953) (21)
- Some remarks on Schottky's theorem (1947) (21)
- Polynomial solutions of partial differential equations (1999) (20)
- Real inequalities with applications to function theory (1954) (20)
- A characterization of the maximum modulus of functions regular at the origin (1951) (19)
- On the representation of holomorphic functions by integrals (1997) (19)
- A critical growth rate for functions regular in a disk. (1980) (19)
- Characteristic, maximum modulus and value distribution (1984) (19)
- On the Valiron deficiencies of integral functions of infinite order (1972) (17)
- Identity Theorems for Functions of Bounded Characteristic (1998) (17)
- On the coefficients and means of functions omitting values (1975) (17)
- Multivalent Functions: Means and coefficients (1994) (16)
- On teichmüller mappings of the disk (1982) (15)
- The Growth of Plane Harmonic Functions Along an Asymptotic Path (1978) (15)
- A power series (1967) (15)
- Coefficients of powers of univalent functions (1986) (14)
- Coefficient Problems for Univalent Functions and Related Function Classes (1965) (14)
- Hyperbolic distance and distinct zeros of the Riemann zeta-function in small regions (2000) (13)
- REMARKS ON AHLFORS' DISTORTION THEOREM (1948) (13)
- Growth and Values of Functions Regular in an Angle (1982) (12)
- Value Distribution of Functions Meromorphic in an Angle (1984) (11)
- A Characterization of Harmonic Polynomials in the Plane (1976) (10)
- An Integral Function with a Defective Value That is Neither Asymptotic Nor Invariant Under Change of Origin (1953) (9)
- Smooth majorants for functions of arbitrarily rapid growth (1991) (9)
- The boundary behaviour of Tsuji functions. (1968) (9)
- Value Distribution and A.P. Gaps (1983) (9)
- The minimum modulus of integral functions of order one (1975) (9)
- On the minimum of a subharmonic function on a connected set (1983) (8)
- An integral criterion for automorphic and rotation automorphic functions (1990) (8)
- Esterlè's proof of the tauberian theorem for Beurling algebras (1981) (8)
- The logarithmic derivative of multivalent functions. (1980) (8)
- Introduction to the Classical Theory of Abelian Functions (1993) (8)
- The maximum term of a power series 1 (1964) (8)
- Conformal Mapping of Parabola-Shaped Domains (2004) (8)
- Applications of Denjoy integral inequalities to growth problems for subharmonic and meromorphic functions (1974) (8)
- Waring’s theorem and the super Fermat problem for numbers and functions (2014) (8)
- Five integral inequalities; an inheritance from Hardy and Littlewood (1998) (7)
- Unavoidable systems of functions (1995) (7)
- On a class of integral inequalities of Hardy-Littlewood type (1986) (7)
- On integral functions with distinct asymptotic values (1969) (7)
- The maximum modulus and valency of functions meromorphic in the unit circle (1951) (7)
- On the coefficients of certain automorphic functions (1977) (7)
- Domination on Sets and in Hp (1998) (6)
- Functions with values in given domain (1952) (6)
- Distortion estimates for quasisymmetric functions (1985) (5)
- A mini-gap theorem for Fourier series (1968) (5)
- On a theorem of Tord Hall (1974) (5)
- On the coefficients of univalent functions (1959) (5)
- Tauberian theorems for multivalent functions (1970) (5)
- On quasiconvex functions. (1985) (5)
- On a meromorphic function having few poles but not tending to infinity along a path (1981) (5)
- An inequality for real positive functions (1952) (5)
- Slowly growing subharmonic functions I (1977) (4)
- Integrals of subharmonic functions along two curves (1993) (4)
- On a class of integral inequalities of Hardy-Littlewood type (1986) (4)
- On a non-regular parametric integral (1979) (4)
- Rational Approximation to the Fresnel Integral (1992) (4)
- The radial growth of univalent functions (2004) (4)
- Strict isoperimetric inequalities and asymmetry (1992) (4)
- Function Theory and its applications (1961) (4)
- On the Growth of Multivalent Functions (1958) (4)
- The growth of bounded and related functions (2014) (4)
- Mean p-valent functions with gaps (1967) (4)
- On Meromorphic Functions with Growth Conditions (1988) (4)
- On the domains where a harmonic or subharmonic function is positive (1976) (3)
- A general form of the annulus theorem (1974) (3)
- On the Minimum Modulus of Functions with Given Coefficients (1973) (3)
- The Proximity Function in Nevanlinna Theory (1982) (3)
- Value distribution theory and the research of Yang Lo (2010) (3)
- Univalent functions of fast growth with gap power series (1999) (3)
- Mean p-valent functions with mini-gaps† (1969) (3)
- Regular Tsuji Functions with Infinitely Many Julia Points (1967) (3)
- Values and growth of functions regular in the unit disk (1977) (3)
- Normal families and the final set (2001) (3)
- Approximation and Capacities (1984) (3)
- Collected Papers of G. H. Hardy - Volume 7 (2013) (3)
- Some examples of functions mapping rationals on rationals (1986) (2)
- The growth of univalent functions with an initial gap I (2006) (2)
- A Tribute to Paul Erdős: A functional equation arising from mortality tables (1990) (2)
- Harmonic Products of Harmonic Functions: 10651 (1999) (2)
- Proceedings of the Symposium on Complex Analysis Canterbury 1973: New problems (1974) (2)
- On the relation between some metric invariants for Markov shifts (1972) (2)
- The Blumenthal Conjecture (2013) (2)
- An example in summability (1961) (2)
- A PHOTO ALBUM FOR WEIERSTRASS (1996) (2)
- A LEMMA IN THE THEORY OF SERIES DUE TO ASTALA AND GEHRING (1986) (2)
- Ahlfors' theorem on asymptotic values and some developments from it (1988) (2)
- Integrals of analytic functions along 2 curves (1994) (1)
- On a non-regular parametric integral III (1998) (1)
- International transfers (1976) (1)
- On the limits of moduli of analytic functions (1962) (1)
- Proceedings of the Symposium on Complex Analysis Canterbury 1973 (1974) (1)
- Obituary: James (Jim) Gourlay Clunie 1926–2013 (2015) (1)
- ALBERT CYRIL OFFORD, FRS, 1906–2000 (2005) (1)
- The Growth of Harmonic Functions Along a Path in Space (1981) (1)
- Some achievements of Nevanlinna theory (1982) (1)
- Sir Harry Raymond Pitt, FRS, 1914–2005 (2010) (1)
- Research Problems in Function Theory (New Edition) (2018) (1)
- Transcendental Dynamics and Complex Analysis: Generalisations of uniformly normal families (2008) (1)
- Function Theory 1900–1950 (1994) (1)
- PICARD VALUES OF MEROMORPHIC FUNCTIONS (2016) (1)
- Value distribution of functions regular in the unit disk (1983) (1)
- The maximum terms of a power series 2 (1965) (1)
- Dame Mary (Lucy) Cartwright, D.B.E. 17 December 1900 – 3 April 1998 (1999) (1)
- Limiting behaviour of functions of locally bounded characteristic (2015) (1)
- Local value distribution of functions bounded in a half-plane (1985) (1)
- Limiting behaviour of functions of locally bounded characteristic (2015) (0)
- John Macnaghten Whittaker, 7 March 1905 - 29 January 1984 (1985) (0)
- Chapter 1 – Univalent and Multivalent Functions (2002) (0)
- Interpolation and Approximation (2019) (0)
- Collected papers of G. H. Hardy, Volume V, edited by a committee appointed by the London Mathematical Society. Pp xiv, 694. £9. 1973 (Oxford University Press) (1973) (0)
- The Second British Mathematical Olympiad (1966) (0)
- Lectures on meromorphic functions (1959) (0)
- ADDENDUM TO SREMARKS ON AHLFORS' DISTORTION THEOREM (1953) (0)
- Multivalent Functions: Symmetrization (1994) (0)
- On direct critical singularities and regularity of growth (1967) (0)
- Multivalent Functions: The Löwner theory (1994) (0)
- Proceedings of the Symposium on Complex Analysis Canterbury 1973: Progress on the previous problems (1974) (0)
- Edward Foyle Collingwood (1972) (0)
- Multivalent Functions: De Branges' Theorem (1994) (0)
- UNIQUENESS OF MEROMORPHIC FUNCTIONS SHARING A CERTAIN NONZERO POLYNOMIAL WITH WEIGHT (2016) (0)
- Some Topics in Complex Analysis. By E. G. Phillips. Pp. viii, 141. 35s. 1966. (Pergamon Press) (1967) (0)
- Thomas Kövári, 1930–2010 (2012) (0)
- On the existence and uniqueness of certain measures (1961) (0)
- Review: Herbert S. Wilf, Generatingfunctionology (1991) (0)
- Mary Lucy Cartwright (1900–1998) (2002) (0)
- Analysis on Riemann Surfaces (1961) (0)
- Multivalent Functions: Circumferentially mean p –valent functions (1994) (0)
- Functions in the Unit Disc (2019) (0)
- Multivalent Functions: Preface (1994) (0)
- Univalent and Multivalent Functions (2019) (0)
- Multivalent Functions: Elementary bounds for univalent functions (1994) (0)
- Fresnel-integral approximation (1995) (0)
- Patrick Brendan Kennedy (1967) (0)
- Survey Article—Coefficient Problems for Univalent Functions and Related Function Classes (1966) (0)
- Duren, P. Harmonic mappings in the plane (Cambridge University Press, 2004), 0 521 64121 7 (hardback) £40 (2006) (0)
- Patrick B. Kennedy (1966) (0)
- Book for Theorists (1967) (0)
- A Tribute to Matts Essén (2004) (0)
- The maximum modulus and valency of functions meromorphic in the unit circle (1951) (0)
- A Question of M. L. Cartwright (1972) (0)
- SEVERAL COMPLEX VARIABLES (1965) (0)
- Function Theory (1968) (0)
- 2.7. Painlevé null sets (1984) (0)
- Correction to 'On the existence and uniqueness of certain measures’ (1962) (0)
- An Introduction to Nevanlinna Theory (1968) (0)
- THE COEFFICIENTS OF SCHLICHT AND ALLIED FUNCTIONS (2010) (0)
- Multivalent Functions: The growth of finitely mean valent functions (1994) (0)
- ON A THEOREM OF HAYMAN CONCERNING THE DERIVATIVE OF A FUNCTION OF BOUNDED CHARACTERISTIC (2012) (0)
- Analogues of the elliptic modular functions in R3 (1974) (0)
- STARTING WITH THE UNIT CIRCLE: Background to Higher Analysis (1982) (0)
- Multivalent Functions: Differences of successive coefficients (1994) (0)
- The growth of univalent functions with an initial gap II (2007) (0)
- Integral Functions. By M. L. Cartwmght pp. 135. 18s. (Cambridge University Press) (1957) (0)
- Subharmonic and Harmonic Functions (2019) (0)
- Spaces of Functions (2019) (0)
- Albert Cyril Offord. 9 June 1906 – 4 June 2000 (2002) (0)
- Proceedings of the Symposium on Complex Analysis Canterbury 1973: A minimal-area problem in conformal mapping (1974) (0)
- Edward Foyle Collingwood, 1900 - 1970 (1971) (0)
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