ON CLOSED CONVEX HULLS AND THEIR EXTREME POINTS

  • Lee, S.K. (Department of Mathematics Education Gyeongsang National University) ;
  • Khairnar, S.M.
  • Received : 2004.05.28
  • Published : 2004.12.30

Abstract

In this paper, the new subclass denoted by $S_p({\alpha},{\beta},{\xi},{\gamma})$ of $p$-valent holomorphic functions has been introduced and investigate the several properties of the class $S_p({\alpha},{\beta},{\xi},{\gamma})$. In particular we have obtained integral representation for mappings in the class $S_p({\alpha},{\beta},{\xi},{\gamma})$) and determined closed convex hulls and their extreme points of the class $S_p({\alpha},{\beta},{\xi},{\gamma})$.

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