Proceedings of the Symposium on Complex Analysis Canterbury 1973

This book is essential reading for research workers and graduate students interested in complex analysis.

J. Clunie (Edited by), W. K. Hayman (Edited by)

9780521204521, Cambridge University Press

Paperback, published 8 August 1974

192 pages
22.9 x 15.2 x 1.1 cm, 0.29 kg

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.

Part I. Contributions of participants: 1. A minimal-area problem in conformal mapping Dov Aharonov and Harold S. Shapiro
2. A remark on schlicht functions with quasi-conformal extensions Lars V. Ahlfors
3. Some extremal problems for univalent functions, harmonic measures, and subharmonic functions Albert Baernstein
4. On coefficient problems for certain power series D. A. Brannan
5. Approximation by analytic functions uniformly continuous on a set Leon Brown and Allen Shields
6. A meromorphic function with assigned Nevanlinna deficiencies David Drasin
7. Estimation of coefficients of univalent functions by Tauberian remainder theorems Peter L. Duren
8. The Pade table of functions having a finite number of essential singularities Albert Edrei
9. Extremal problems of the cos-type Albert Edrei
10. A cos-problem and a differential inequality Matts Essen
11. Applications of Denjoy integral inequalities to growth problems for subharmonic and meromorphic functions Matts Essen and Daniel F. Shea
12. A theorem on min I z I log I f (z) I /T(r, f) W. H. J. Fuchs
13. The LP- integrability of the partial derivatives of a quasi-conformal mapping F. W. Gehring
14. A Hilbert space method in the theory of schlicht functions H. Grunsky and James A. Jenkins
15. An extremal problem concerning entire functions with radially distributed zeros Simon Hellerstein and Daniel F. Shea
16. Local behavior of subharmonic functions A. Huber
17. A general form of the annulus theorem James A. Jenkins
18. Two problems on HP spaces J. P. Kahane
19. Approximation on curves by linear combinations of exponentials J. Korevaar
20. Two results on means of harmonic functions U. Kuran
21. The Fatou limits of outer functions A. J. Lohwater and G. Piranian
22. A proof Zeev Nehari
23. Completeness questions and related Dirichlet polynomials D. J. Newman
24. On the boundary behaviour of normal functions Ch. Pommerenke
25. Joint approximation in the complex domain L. A. Rubel
26. Some linear operators in function theory T. B. Sheil-Small
27. Analogues of the elliptic modular functions in R3 Uri Srebrt
28. On some phenomena and problems of the powersum- method Paul Turan
29. Meromorphic functions with large sums of deficiencies Allen Weitsman
30. On D. J. Patil's remarkable generalisation of Cauchy's formula L. C. Young
31. Analytic functions and harmonic analysis Lawrence Zalcman
Part II. Research problems in function theory: W. K. Hayman
Progress on the previous problems
New problems.

Subject Areas: Probability & statistics [PBT]