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Computational Methods and Function Theory

Volume 8 (2008)

 Number 1Number 2 

Special Volume
Dedicated to Walter K. Hayman on the occasion of his 80th birthday.

Photograph of W. K. Hayman

Walter Hayman was born in Cologne, Germany in 1926 and came to Britain in 1938. He was educated at Gordonstoun School in Scotland and at St John's College, Cambridge where he came under the influence of M. L. Cartwright and J. E. Littlewood. After a period at various universities he was elected to the Royal Society in 1956 and appointed Professor of Pure Mathematics at Imperial College, London. For over 30 years there he ran a school of renown in Complex Analysis, attracting mathematicians from all over the world. He then spent 10 years in York University before returning to Imperial College, where he is a Senior Research Fellow. He has received many prizes and awards and is an honorary graduate of several universities.

Walter has written over 200 papers touching and enriching all areas of complex analysis. He is best known, perhaps for his work on the minimum modulus of large entire functions, for his proof of the asymptotic Bieberbach conjecture and for the so-called "Hayman Alternative" in value distribution theory. In addition he has written three books, "Multivalent Functions", "Meromorphic Functions" and "Subharmonic functions Vols. 1 and 2" (the first volume jointly with P. B. Kennedy) which have been extremely influential. He now lives in the country, in Bisley, Gloucestershire but still maintains an active scientific and academic life in London.

The present volume is dedicated to Walter by his many students, friends and admirers.


Number 1

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Walter K. Hayman
My background and early life
Publications of Walter K. Hayman
Ph.D. Students of Walter K. Hayman
xi--xliii [Abstract / Full Text]

Gary G. Gundersen
Meromorphic Solutions of a Differential Equation with Polynomial Coefficients
1--14 [Abstract / Full Text]

Paul M. Gauthier, Raphaël Clouâtre
Approximation by Translates of Taylor Polynomials of the Riemann Zeta Function
15--19 [Abstract / Full Text]

Martin Chuaqui, Peter Duren, Brad Osgood
Schwarzian Derivatives and Uniform Local Univalence
21--34 [Abstract / Full Text]

Peter C. Fenton, John Rossi
Estimates for Singular Integral Operators
35--46 [Abstract / Full Text]

J. Brian Twomey
The Modulus of Continuity of a Measure with Finite Energy
47--56 [Abstract / Full Text]

Lavi Karp
On Null Quadrature Domains
57--72 [Abstract / Full Text]

James Langley
Meromorphic Functions in the Class S and the Zeros of the Second Derivative
73--84 [Abstract / Full Text]

Karl F. Barth, Philip J. Rippon
Non-Tangential Limits of Slowly Growing Analytic Functions
85--99 [Abstract / Full Text]

Walter Bergweiler
Permutable Entire Functions Satisfying Algebraic Differential Equations
101--106 [Abstract / Full Text]

Farit G. Avkhadiev, Karl-Joachim Wirths
Estimates of the Derivatives of Meromorphic Maps from Convex Domains into Concave Domains
107--119 [Abstract / Full Text]

Rasa Steuding, Jörn Steuding
Large Gaps Between Zeros of the Zeta-Function on the Critical Line and Moment Conjectures from Random Matrix Theory
121--132 [Abstract / Full Text]

Peter Lappan
Special Classes of Normal Families
133--142 [Abstract / Full Text]

Dmitry Khavinson, Harold S. Shapiro
On a Uniqueness Property of Harmonic Functions
143--150 [Abstract / Full Text]

Thomas Ransford, Jérémie Rostand
Hölder Exponents of Green's Functions of Cantor Sets
151--158 [Abstract / Full Text]

Tom Carroll
An Extension of Jenkin's Condition for Extremal Domains Associated with the Univalent Bloch-Landau Constant
159--165 [Abstract / Full Text]

Stephen J. Gardiner
Asymptotic Maximum Principles for Subharmonic Functions
167--172 [Abstract / Full Text]

Anthony G. O'Farrell
Composition of Involutive Power Series, and Reversible Series
173--193 [Abstract / Full Text]

Clifford J. Earle
A Montel Theorem for Holomorphic Functions on Infinite Dimensional Spaces that Omit the Values 0 and 1
195--198 [Abstract / Full Text]

Wolfgang Luh
A Jentzsch-Type-Theorem
199--202 [Abstract / Full Text]

L. E. Fraenkel
On the Increase of Capacity with Asymmetry
203--224 [Abstract / Full Text]

Steven R. Bell, Faisal Kaleem
The Structure of the Semigroup of Proper Holomorphic Mappings of a Planar Domain to the Unit Disc
225--242 [Abstract / Full Text]

Vladimir V. Andrievskii, Stephan Ruscheweyh
On Polynomials with a Prescribed Zero on a Quasicircle
243--259 [Abstract / Full Text]

Daoud Bshouty, Abdallah Lyzzaik, Allen Weitsman
On the Boundary Behaviour of Univalent Harmonic Mappings onto Convex Domains
261--275 [Abstract / Full Text]

Daniel Girela
Non-Tangential Limits of Bloch Functions
277--284 [Abstract / Full Text]

David Drasin, Yûsuke Okuyama
Singularities of Schröder Maps and Unhyperbolicity of Rational Functions
285--302 [Abstract / Full Text]

Number 2

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Aimo Hinkkanen
Majorization of the Modulus of Continuity of Analytic Functions
303--325 [Abstract / Full Text]

Jun Wang, Ilpo Laine
Uniqueness of Entire Functions and Their Derivatives
327--338 [Abstract / Full Text]

J. Milne Anderson, Michael A. Dritschel, James Rovnyak
Schwarz-Pick Inequalities for the Schur-Agler Class on the Polydisk and Unit Ball
339--361 [Abstract / Full Text]

Finbarr Holland
Some Relatives of the Hardy-Stein-Spencer Identities
363--372 [Abstract / Full Text]

Christian Pommerenke
On the Lower Order of Locally Univalent Functions
373--384 [Abstract / Full Text]

Edward B. Saff, Nikos S. Stylianopoulos
Asymptotics for Polynomial Zeros: Beware of Predictions from Plots
385--407 [Abstract / Full Text]

A.F. Beardon, D. Minda
Dieudonné Points of Holomorphic Self-Maps of Regions
409--432 [Abstract / Full Text]

Daoud Bshouty, Abdallah Lyzzaik
Uniqueness of Harmonic Mappings into Strictly Starlike Domains
433--446 [Abstract / Full Text]

Håkan Hedenmalm, Alan Sola
Spectral Notions for Conformal Maps: a Survey
447--474 [Abstract / Full Text]

Rauno Aulaskari, Shamil Makhmutov
On the Growth of the Dirichlet Integral for Some Function Spaces
475--482 [Abstract / Full Text]

Xuecheng Pang, Shahar Nevo, Lawrence Zalcman
Derivatives of Meromorphic Functions with Multiple Zeros and Rational Functions
483--491 [Abstract / Full Text]

Alexandru Aleman, Boris Korenblum
Derivation-Invariant Subspaces of C
493--512 [Abstract / Full Text]

Alexandre Eremenko, Andrei Gabrielov, Boris Shapiro
High Energy Eigenfunctions of One-Dimensional Schrödinger Operators with Polynomial Potentials
513--529 [Abstract / Full Text]

Richard R. Hall
Some Trigonometric and Elliptic Integrals
531--544 [Abstract / Full Text]

W. Norrie Everitt, Clemens Markett
Fourier-Bessel Series for Second-Order and Fourth-Order Bessel Differential Equations
545--563 [Abstract / Full Text]

Dov Aharonov
Extreme and Support Points of the Class of Non-Vanishing Univalent Functions
565--578 [Abstract / Full Text]

Samuel Patterson
Analytic Number Theory and Statistics
579--595 [Abstract / Full Text]

Igor Pritsker
How to Find a Measure from its Potential
597--614 [Abstract / Full Text]

Edward Crane
A Note on the Hayman-Wu Theorem
615--624 [Abstract / Full Text]

James E. Brennan
The Structure of Certain Spaces of Analytic Functions
625--640 [Abstract / Full Text]