On p-Valently Meromorphic-Strongly Starlike and Convex Functions

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Rahim Kargar, Ali Ebadian, Janusz Sokol, On p-Valently Meromorphic-Strongly Starlike and Convex Functions, Int. J. Anal. Appl., 12 (1) (2016), 62-65.

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Rahim Kargar, Ali Ebadian, Janusz Sokol

Abstract

In this paper, we obtain sufficient conditions for analytic function $f(z)$ in the punctured unit disk to be $p$-valently meromorphic-strongly starlike and $p$-valently meromorphic-strongly convex of order $\beta$ and type $\alpha$. Some interesting corollaries of the results presented here are also discussed.

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References

  1. R. Kargar and R. Aghalary, Sufficient condition for strongly starlike and convex functions, Serdica Math. J. 40 (2014), 13-18.
  2. P. T. Mocanu, Alpha-convex integral operators and strongly starlike functions, Stud. Univ. Babes-Bolyai Math. 34 (1989), 18-24.
  3. M. Nunokawa, On the order of strongly starlikeness of strongly convex functions, Proc. Japan Acad. Ser. A Math. Sci. 69(7) (1993), 234-237.
  4. S. Ponnusamy and V. Singh, Criteria for strongly starlike functions, Complex Variables, Theory Appl. 34(3) (1997), 267-291.
  5. F. Rønning, S. Ruscheweyeh and S. Samaris, Sharp starlikeness conditions for analytic functions with bounded derivative, J. Aust. Math. Soc. Ser. A, 69 (2000), 303-315.
  6. M. San and H. Irmak, Ordinary differential operator and some of its applications to certain meromorphically p-valent functions, App. Math. Comput. 218 (2011), 817-821.