Table of Contents

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.