Skip to main content
Journal of Inequalities and Applications
Download PDF

Sufficient Univalence Conditions for Analytic Functions

Journal of Inequalities and Applications volume 2007, Article number: 086493 (2008) Cite this article

Abstract

We consider a general integral operator and the class of analytic functions. We extend some univalent conditions of Becker's type for analytic functions using a general integral transform.

[123456]

References

  1. Pescar V: A new generalization of Ahlfors's and Becker's criterion of univalence. Bulletin of the Malaysian Mathematical Society 1996,19(2):53–54.

    MathSciNet  MATH  Google Scholar 

  2. Ozaki S, Nunokawa M: The Schwarzian derivative and univalent functions. Proceedings of the American Mathematical Society 1972,33(2):392–394. 10.1090/S0002-9939-1972-0299773-3

    MathSciNet  Article  MATH  Google Scholar 

  3. Nehari Z: Conformal Mapping. McGraw-Hill, New York, NY, USA; 1952:viii+396.

    MATH  Google Scholar 

  4. Nehari Z: Conformal Mapping. Dover, New York, NY, USA; 1975:vii+396.

    Google Scholar 

  5. Seenivasagan N, Breaz D: Certain sufficient conditions for univalence. to appear in General Mathematics to appear in General Mathematics

  6. Breaz D, Breaz N: The univalent conditions for an integral operator on the calsses and. Journal of Approximation Theory and Applications 2005,1(2):93–98.

    MathSciNet  Google Scholar 

Download references

Author information

Affiliations

  1. Department of Mathematics, "1 Decembrie 1918" University, Alba Iulia, Romania

    Daniel Breaz & Nicoleta Breaz

Authors
  1. Daniel Breaz
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Nicoleta Breaz
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Daniel Breaz.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and Permissions

About this article

Cite this article

Breaz, D., Breaz, N. Sufficient Univalence Conditions for Analytic Functions. J Inequal Appl 2007, 086493 (2008). https://doi.org/10.1155/2007/86493

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1155/2007/86493

Keywords

  • Analytic Function
  • Integral Operator
  • Univalence Condition
  • General Integral Operator
  • Sufficient Univalence