Partial Sums for a Certain Subclass of Meromorphic Univalent Functions

Authors

  • M. K. Aouf Department of Mathematics, Faculty of Science, University of Mansoura, Mansoura, Egypt
  • A. O. Mostafa Department of Mathematics, Faculty of Science, University of Mansoura, Mansoura, Egypt
  • A. Y. Lashin Department of Mathematics, Faculty of Science, University of Mansoura, Mansoura, Egypt
  • B. M. Munassar Department of Mathematics, Faculty of Science, University of Mansoura, Mansoura, Egypt

DOI:

https://doi.org/10.5644/SJM.10.2.03

Keywords:

Partial sums, meromorphic univalent functions, Ruscheweyh derivative

Abstract

In this paper, the class $\Sigma_{\lambda}\left( \alpha,\beta,\gamma\right)$ of univalent meromorphic functions defined using the Ruscheweyh derivative in the punctured unit disk U$^{\ast}$ is introduced. We study some results concerning the partial sums of meromorphic univalent starlike functions and meromorphic univalent convex functions.

 

2010 Mathematics Subject Classification. 30C45.

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References

M. K. Aouf and A.O.Mostafa, On partial sums of certain meromophic p-valent functions, Math. Comput. Modelling 50 (2009), 1325–1331.

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Ch. Pommerenke, On meromorphic starlike functions, Pacific J. Math., 13 (1963), 221–235.

H. Silverman, Partial sums of starlike and convex functions, J. Math. Anal. Appl., 209 (1997), 221–227.

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Published

04.06.2024

How to Cite

Aouf, M. K., Mostafa, A. O., Lashin, A. Y., & Munassar, B. M. (2024). Partial Sums for a Certain Subclass of Meromorphic Univalent Functions. Sarajevo Journal of Mathematics, 10(2), 161–169. https://doi.org/10.5644/SJM.10.2.03

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