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Periodica Mathematica Hungarica

, Volume 14, Issue 3–4, pp 197–208 | Cite as

Closed convex hulls and extreme points of some subclasses of close-to-convex functions

  • G. P. Kapoor
  • A. K. Mishra
Article
  • 40 Downloads

AMS (MOS) subject classifications (1980)

Primary 30C45 Secondary 30C75 

Key words and phrases

Closed convex hulls extreme points starlike starlike functions of orderβ convex close-to-convex close-to-convex functions of orderα and typeβ etc 

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References

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    L. Brickman, D. J. Hallenbeck, T. H. MacGregor andD. R. Wilken, Convex hulls and extreme points of families of starlike and convex mappings,Trans. Amer. Math. Soc. 185 (1973), 413–428.MR 49 # 3102Google Scholar
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    T. H. MacGregor, Applications of extreme-point theory to univalent functions,Michigan Math. J. 19 (1972), 361–376.MR 47 # 447Google Scholar
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    H. Silverman andD. N. Telage, Extreme points of subclasses of close-to-convex functions,Proc. Amer. Math. Soc. 74 (1979), 59–65.MR 80c: 30012Google Scholar

Copyright information

© Akadémiai Kiadó 1983

Authors and Affiliations

  • G. P. Kapoor
    • 1
  • A. K. Mishra
    • 2
  1. 1.Department of MathematicsIndian Institute of TechnologyKanpurIndia
  2. 2.Department of MathematicsSambalpur UniversitySambalpur (Orissa)India

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