On Certain Subclasses of Meromorphically p-Valent Functions Associated by the Linear Operator Dn

نویسندگان

  • Adem Kılıçman
  • Jong Kim
چکیده

The purpose of this paper is to introduce two novel subclasses Γλ n, α, β and Γλ n, α, β of meromorphic p-valent functions by using the linear operator D λ . Then we prove the necessary and sufficient conditions for a function f in order to be in the new classes. Further we study several important properties such as coefficients inequalities, inclusion properties, the growth and distortion theorems, the radii of meromorphically p-valent starlikeness, convexity, and subordination properties. We also prove that the results are sharp for a certain subclass of functions.

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تاریخ انتشار 2011