Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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ON A CERTAIN CLASS OF p-VALENT UNIFORMLY CONVEX FUNCTIONS USING DIFFERENTIAL OPERATOR

  • Lee, S.K. (Department of Mathematics and Education Research Institute Gyeongsang National University) ;
  • Khairnar, S.M. (Department of Mathematics Maharashtra Academy of Engineering) ;
  • Rajas, S.M. (Department of Mathematics G. H. Raisoni Institute of Engineering & Technology)
  • Received : 2010.11.04
  • Accepted : 2011.03.10
  • Published : 2011.03.30
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Abstract

In this paper, using differential operator, we have introduce new class of p-valent uniformly convex functions in the unit disc U = {z : |z| < 1} and obtain the coefficient bounds, extreme bounds and radius of starlikeness for the functions belonging to this generalized class. Furthermore, partial sums $f_k(z)$ of functions $f(z)$ in the class $S^*({\lambda},{\alpha},{\beta})$ are considered. The various results obtained in this paper are sharp.

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References

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