Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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CERTAIN PROPERTIES OF A NEW SUBCLASS OF ANALYTIC AND p-VALENTLY CLOSE-TO-CONVEX FUNCTIONS

  • BULUT, Serap (Kocaeli University, Faculty of Aviation and Space Sciences, Arslanbey Campus)
  • Received : 2017.01.18
  • Accepted : 2017.04.21
  • Published : 2017.06.25
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Abstract

In the present paper we introduce and investigate an interesting subclass ${\mathcal{K}}^{(k)}_s({\gamma},p) $ of analytic and p-valently close-to-convex functions in the open unit disk ${\mathbb{U}}$. For functions belonging to this class, we derive several properties as the inclusion relationships and distortion theorems. The various results presented here would generalize many known recent results.

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References

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