Skip to main content
SpringerLink
Log in

A Class of p-Valent Meromorphic Functions Defined by the Liu–Srivastava Operator

  • Published:
Ukrainian Mathematical Journal Aims and scope

We introduce a subclass of p-valent meromorphic functions involving the Lui–Srivastava operator and investigate various properties of this subclass. We also indicate the relationships between various results presented in the paper and the results obtained in earlier works.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. K. Aouf, “New criteria for multivalent meromorphic starlike functions of order alpha,” Proc. Jap. Acad. A, 69, 66–70 (1993).

    Article  MATH  Google Scholar 

  2. M. K. Aouf, “Certain subclasses of meromorphically multivalent functions associated with generalized hypergeometric function,” Comput. Math. Appl., 55, No. 3, 494–509 (2008).

    Article  MATH  MathSciNet  Google Scholar 

  3. I. S. Jack, “Functions starlike and convex of order α,” J. London Math. Soc., 2, No. 3, 469–474 (1971).

    Article  MathSciNet  Google Scholar 

  4. J.-L. Liu and H. M. Srivastava, “A linear operator and associated families of meromorphically multivalent functions,” J. Math. Anal. Appl., 259, 566–581 (2000).

    Article  MathSciNet  Google Scholar 

  5. J.-L. Liu and H. M. Srivastava, “Classes of meromorphically multivalent functions associated with the generalized hypergeometric function,” Math. Comput. Model., 39, 21–34 (2004).

    Article  MATH  MathSciNet  Google Scholar 

  6. J.-L. Liu and S. Owa, “On classes of meromorphic p-valent starlike functions involving certain linear operators,” Int. J. Math. Math. Sci., 32, 271–280 (2002).

    Article  MATH  MathSciNet  Google Scholar 

  7. S. S. Miller and P. T. Mocanu, “On some classes of first-order differential subordinations,” Mich. Math. J., 32, No. 2, 185–195 (1985).

    Article  MATH  MathSciNet  Google Scholar 

  8. M. S. Robertson, “Certain classes of starlike functions,” Mich. Math. J., 32, No. 2, 135–140 (1985).

    Article  MATH  Google Scholar 

  9. H. M. Srivastava and P. W. Karlsson, Multiple Gaussian Hypergeometric Series, Halsted Press, Ellis Horwood , Chichester, Wiley, New York, etc. (1985).

  10. B. A. Uralegaddi and C. Somanatha, “Certain classes of meromorphic multivalent functions,” Tamkang J. Math., 23, 223–231 (1992).

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fayoum University, Al Fayoum, Egypt

    T. M. Seoudy

  2. Mansoura University, Mansoura, Egypt

    M. K. Aouf

Authors
  1. T. M. Seoudy
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. K. Aouf
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 9, pp. 1235–1243, September, 2014.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Seoudy, T.M., Aouf, M.K. A Class of p-Valent Meromorphic Functions Defined by the Liu–Srivastava Operator. Ukr Math J 66, 1383–1392 (2015). https://doi.org/10.1007/s11253-015-1017-0

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11253-015-1017-0

Keywords

Search

Navigation