Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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UNIVALENCE PROPERTIES FOR A GENERAL INTEGRAL OPERATOR

  • Breaz, Daniel (DEPARTMENTO OF MATHEMATICS "1 DECEMBRIE 1918" UNIVERSITY)
  • Published : 2009.05.31
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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.

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References

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  2. J. Becker, Lownersche Differentialgleichung und Schlichtheitskriterien, Math. Ann. 202 (1973), 321–335 https://doi.org/10.1007/BF01433462
  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
  4. 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
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