Skip to main content
SpringerLink
Log in

On the starlikeness and convexity of a class of analytic functions

  • Published:
Rendiconti del Circolo Matematico di Palermo Aims and scope Submit manuscript

Abstract

We extend some results concerning the univalence of rational functions recently obtained by Mitrinovi<c. Sufficient conditions for starlikeness and convexity are also obtained.

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. Mitrinovič Dragoslav S.,On the univalence of rational functions, Univ. Beograd. Publ. Elektrotehn, Fak., Ser. Mat. Fiz., No.634-No.677 (1979), 221–227.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Michigan, 48109, Ann Arbor, Michigan

    Maxwell O. Reade, Herb Silverman & Pavel G. Todorov

  2. Department of Mathematics, College of Charleston, 29424, Charleston, South Carolina

    Maxwell O. Reade, Herb Silverman & Pavel G. Todorov

  3. Department of Mathematics, Paissii Hilendarski University, 4000, Plovdiv, Bulgaria

    Maxwell O. Reade, Herb Silverman & Pavel G. Todorov

Authors
  1. Maxwell O. Reade
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Herb Silverman
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Pavel G. Todorov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This work was completed while the second author was on sabbatical leave from the College of Charleston as a Visiting Scholar at the University of Michigan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Reade, M.O., Silverman, H. & Todorov, P.G. On the starlikeness and convexity of a class of analytic functions. Rend. Circ. Mat. Palermo 33, 265–272 (1984). https://doi.org/10.1007/BF02844619

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02844619

MR Classification (1981)

Key Words

Search

Navigation