Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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INCLUSION PROPERTIES OF A CLASS OF FUNCTIONS INVOLVING THE DZIOK-SRIVASTAVA OPERATOR

  • Devi, Satwanti (Department of Mathematics Indian Institute of Technology) ;
  • Srivastava, H.M. (Department of Mathematics and Statistics University of Victoria) ;
  • Swaminathan, A. (Department of Mathematics Indian Institute of Technology)
  • Received : 2016.02.14
  • Accepted : 2016.06.07
  • Published : 2016.06.30
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Abstract

In this work, we rst introduce a class of analytic functions involving the Dziok-Srivastava linear operator that generalizes the class of uniformly starlike functions with respect to symmetric points. We then establish the closure of certain well-known integral transforms under this analytic function class. This behaviour leads to various radius results for these integral transforms. Some of the interesting consequences of these results are outlined. Further, the lower bounds for the ratio between the functions f(z) in the class under discussion, their partial sums $f_m(z)$ and the corresponding derivative functions f'(z) and $f^{\prime}_m(z)$ are determined by using the coecient estimates.

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References

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