Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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SUBCLASSES OF k-UNIFORMLY CONVEX AND k-STARLIKE FUNCTIONS DEFINED BY SĂLĂGEAN OPERATOR

  • Seker, Bilal (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE AND LETTERS BATMAN UNIVERSITY) ;
  • Acu, Mugur (DEPARTMENT OF MATHEMATICS LUCIAN BLAGA UNIVERSITY) ;
  • Eker, Sevtap Sumer (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE DICLE UNIVERSITY)
  • Received : 2009.06.16
  • Published : 2011.01.31
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Abstract

The main object of this paper is to introduce and investigate new subclasses of normalized analytic functions in the open unit disc $\mathbb{U}$, which generalize the familiar class of k-starlike functions. The various properties and characteristics for functions belonging to these classes derived here include (for example) coefficient inequalities, distortion theorems involving fractional calculus, extreme points, integral operators and integral means inequalities.

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References

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