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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A class of univalent functions


Author: Thomas H. MacGregor
Journal: Proc. Amer. Math. Soc. 15 (1964), 311-317
MSC: Primary 30.42
MathSciNet review: 0158985
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References [Enhancements On Off] (What's this?)

  • [1] E. Landau, Darstellung und Begründung einiger neuer Ergebnisse der Funktionentheorie, Berlin, Springer, 1916.
  • [2] J. E. Littlewood, On inequalities in the theory of functions, Proc. London Math. Soc. (2) 23 (1925), 481-519.
  • [3] T. H. MacGregor, Functions whose derivative has a positive real part, Trans. Amer. Math. Soc. 104 (1962), 532-537. MR 0140674 (25:4090)
  • [4] Z. Nehari, Conformal mapping, McGraw-Hill, New York, 1952. MR 0045823 (13:640h)
  • [5] A. Schild, On a class of functions schlicht in the unit circle, Proc. Amer. Math. Soc. 5 (1954), 115-120. MR 0060592 (15:694g)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1964-0158985-5
PII: S 0002-9939(1964)0158985-5
Article copyright: © Copyright 1964 American Mathematical Society