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Proceedings of the Symposium on Complex Analysis Canterbury 1973 : London Mathematical Society Lecture Notes - J. Clunie

Proceedings of the Symposium on Complex Analysis Canterbury 1973

London Mathematical Society Lecture Notes

By: J. Clunie (Editor), W. K. Hayman (Editor)


Published: 7th October 1974
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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.

Contributions of participants
A minimal-area problem in conformal mapping
A remark on schlicht functions with quasi-conformal extensions
Some extremal problems for univalent functions, harmonic measures, and subharmonic functions
On coefficient problems for certain power series
Approximation by analytic functions uniformly continuous on a set
A meromorphic function with assigned Nevanlinna deficiencies
Estimation of coefficients of univalent functions by Tauberian remainder theorems
The Pade table of functions having a finite number of essential singularities
Extremal problems of the cos-type
A cos-problem and a differential inequality
Applications of Denjoy integral inequalities to growth problems for subharmonic and meromorphic functions
A theorem on min I z I log I f (z) I /T(r, f)
The LP- integrability of the partial derivatives of a quasi-conformal mapping
A Hilbert space method in the theory of schlicht functions
An extremal problem concerning entire functions with radially distributed zeros
Local behavior of subharmonic functions
A general form of the annulus theorem
Two problems on HP spaces
Approximation on curves by linear combinations of exponentials
Two results on means of harmonic functions
The Fatou limits of outer functions
A proof
Completeness questions and related Dirichlet polynomials
On the boundary behaviour of normal functions
Joint approximation in the complex domain
Some linear operators in function theory
Analogues of the elliptic modular functions in R3 Uri Srebrt
On some phenomena and problems of the powersum- method
Meromorphic functions with large sums of deficiencies
On D. J. Patil's remarkable generalisation of Cauchy's formula
Analytic functions and harmonic analysis
Research problems in function theory
Progress on the previous problems
New problems
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521204521
ISBN-10: 0521204526
Series: London Mathematical Society Lecture Notes
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 192
Published: 7th October 1974
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 1.12
Weight (kg): 0.29