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UNIVALENCE PROPERTIES FOR A GENERAL INTEGRAL OPERATOR

  • Breaz, Daniel
  • Published : 2009.05.31

Abstract

We consider the univalence function classes T, $T_2,\;T_{2,{\mu}}$, and S(p). For these classes we shall study some univalence properties for a general integral operator. Furthermore we shall extend some known univalence criteria, i.e., Becker-type criteria.

Keywords

analytic functions;integral operator;univalent function;Supported by the GAR 19/2008

References

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  3. D. Breaz and N. Breaz, The univalent condition for an integral operator on the classes S($\alpha) and T_2$, Acta Univ. Apulensis Math. Inform. No. 9 (2005), 63–69
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  7. D. Breaz and H. O. Guney, On the univalence criterion of a general integral operator, J. Inequal. Appl. 2008 (2008), Art. ID 702715, 8 pp https://doi.org/10.1155/2008/702715

Cited by

  1. On certain general integral operators of analytic functions vol.66, pp.1, 2012, https://doi.org/10.2478/v10062-012-0003-3
  2. On a Certain Integral Operator vol.52, pp.1, 2012, https://doi.org/10.5666/KMJ.2012.52.1.33