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Book Review

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Book Information:

Author: Peter L. Duren
Title: Univalent functions
Additional book information: Grundlehren der mathematischen Wissenschaften 259, Springer-Verlag, New York, 1983, $46.00, xiv + 382 pp. ISBN 0-3879-0795-5.

References [Enhancements On Off] (What's this?)

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  • 2. L. V. Ahlfors, Conformal invariants, McGraw-Hill, New York, 1973. MR 357743
  • 3. L. V. Ahlfors, Quasiconformal mappings, Teichmüller spaces, and Kleinian groups, Proc. Internat. Congress Math. (Helsinki, 1978), Vol. 1, Academia Scientiarum Fennica, 1980, pp. 71-84. MR 562598
  • 4. L. V. Ahlfors, Collected papers, Vols. 1, 2, Birkhaüser, Boston, 1982. MR 688648
  • 5. A. Baernstein, How the *-function solves extremal problems, Proc. Internat. Congress Math. (Helsinki, 1978), Vol. 2, pp. 639-644. MR 562666
  • 6. A. Baernstein, Bieberbach's conjecture for tourists, Harmonic Analysis (Proc Conf., Minneapolis, 1981), Lecture Notes in Math., vol. 908, Springer-Verlag, Berlin, 1982. MR 654179
  • 7. A. Baernstein, Topics in quasiconformal mappings, Topics in Modern Harmonic Analysis (Proc. Conf. Milano, 1982), L. de Michele and F. Ricci, eds., Istituto Nazionale di Alta Matematica Francesco Sevani, Roma, 1983. MR 748884
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  • 9. L. Bers, Finite dimensional Teichmüller spaces, Bull. Amer. Math. Soc. (N.S.) 5 (1981), 131-172. MR 621883
  • 10. P. L. Duren, Coefficients of univalent functions, Bull. Amer. Math. Soc. 83 (1977), 891-909. MR 470182
  • 11. F. W. Gehring, Some metric properties of quasi-conformal mappings, Proc. Internat. Congress Math. (Vancouver, 1974), Vol. 2, Canadian Math. Congress, 1975, pp. 203-207. MR 432875
  • 12. F. W. Gehring, Spirals and the universal Teichmüller space, Acta Math. 141 (1978), 99-113. MR 499134
  • 13. F. W. Gehring, Review of [18], Bull Amer. Math. Soc. (N.S.) 3 (1980), 1062-1064.
  • 14. F. W. Gehring, Characteristic properties of quasidisks, Les Presses Univ. Montréal, Montreal, 1982. MR 674294
  • 15. F. W. Gehring, Injectivity of local quasi-isometries, Comment. Math. Helv. 57 (1982), 202-220. MR 684113
  • 16. A. W. Goodman, Univalent functions, Vols. I, II, Mariner, Tampa, 1983. MR 704183
  • 17. D. H. Hamilton, Extremal boundary problems for Schlicht functions, preprint, Univ. of Maryland, 1984. MR 915532
  • 18. S. L. Krushkal, Quasiconformal mappings and Riemann surfaces, V. H. Winston, Washington, D. C., 1979. MR 536488
  • 19. O. Lehto and K. I. Virtanen, Quasiconformal mappings in the plane, 2nd ed. Springer-Verlag, Berlin, 1973. MR 344463
  • 20. Ch. Pommerenke, Univalent functions, Vandenheock and Ruprecht, Göttingen, 1975. MR 507768
  • 21. G. Schober, Univalent functions-selected topics, Lecture Notes in Math., vol. 478, Springer-Verlag, Berlin, 1975. MR 507770

Review Information:

Reviewer: Albert Baernstein, II
Journal: Bull. Amer. Math. Soc. 12 (1985), 158-165
DOI: https://doi.org/10.1090/S0273-0979-1985-15330-3
American Mathematical Society