Edited by J. Clunie
Edited by W. K. Hayman
Publisher: Cambridge University Press
Print Publication Year:1974
Online Publication Date:May 2010
Online ISBN:9780511662263
Paperback ISBN:9780521204521
Book DOI: http://dx.doi.org/10.1017/CBO9780511662263
Subjects: Real and Complex Analysis
An international conference on complex analysis was held in Canterbury in July 1973. Some of the world's most prominent complex analysts attended and some outstanding open problems had their first solutions announced there. These are reflected in this set of Proceedings. Almost all of the contributions are abstracts of talks given at the symposium. The final part of this volume is a section on research problems contributed by members of the conference and a report on a previous collection of problems edited by Professor W. K. Hayman after an earlier conference in 1964. This book is essential reading for research workers and graduate students interested in complex analysis.
pp. i-ii
pp. iii-vi
pp. vii-viii
Part I - Contributions of participants
A minimal-area problem in conformal mapping: Read PDF
pp. 1-6
A remark on schlicht functions with quasiconformal extensions: Read PDF
pp. 7-10
Some extremal problems for univalent functions, harmonic measures, and subharmonic functions: Read PDF
pp. 11-16
On coefficient problems for certain power series: Read PDF
pp. 17-28
Approximation by analytic functions uniformly continuous on a set: Read PDF
pp. 29-30
A meromorphic function with assigned Nevanlinna deficiencies: Read PDF
pp. 31-42
Estimation of coefficients of univalent functions by Tauberian remainder theorems: Read PDF
pp. 43-44
The Padé table of functions having a finite number of essential singularities: Read PDF
pp. 45-48
Extremal problems of the cos πρ-type: Read PDF
pp. 49-52
A cos πλ-problem and a differential inequality: Read PDF
pp. 53-58
Applications of Denjoy integral inequalities to growth problems for subharmonic and meromorphic functions: Read PDF
pp. 59-68
A theorem on mini |z| log|f(z) |/T(r, f): Read PDF
pp. 69-72
The Lp-integrability of the partial derivatives of a quasiconformal mapping: Read PDF
pp. 73-74
A Hilbert space method in the theory of schlicht functions: Read PDF
pp. 75-80
An extremal problem concerning entire functions with radially distributed zeros: Read PDF
pp. 81-88
Local behavior of subharmonic functions: Read PDF
pp. 89-90
A general form of the annulus theorem: Read PDF
pp. 91-92
Two problems on HP spaces: Read PDF
pp. 93-96
Approximation on curves by linear combinations of exponentials: Read PDF
pp. 97-100
Two results on means of harmonic functions: Read PDF
pp. 101-104
The Fatou limits of outer functions: Read PDF
pp. 105-106
A proof of |a4| ≤ 4 by Loewner's method: Read PDF
pp. 107-110
Completeness questions and related Dirichlet polynomials: Read PDF
pp. 111-112
On the boundary behaviour of normal functions: Read PDF
pp. 113-114
Joint approximation in the complex domain: Read PDF
pp. 115-118
Some linear operators in function theory: Read PDF
pp. 119-124
Analogues of the elliptic modular functions in R3: Read PDF
pp. 125-128
On some phenomena and problems of the powersum-method: Read PDF
pp. 129-132
Meromorphic functions with large sums of deficiencies: Read PDF
pp. 133-136
On D. J. Patil's remarkable generalisation of Cauchy's formula: Read PDF
pp. 137-138
Analytic functions and harmonic analysis: Read PDF
pp. 139-142
Part II - Research problems in function theory
Progress on the previous problems: Read PDF
pp. 143-154
pp. 155-180
No references available.