Second order non-linear strong differential subordinations
Oros, Georgia Irina ; Oros, Gheorghe
Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, p. 171-178 / Harvested from Project Euclid
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The concept of differential subordination was introduced in [4] by S.S. Miller and P.T. Mocanu and the concept of strong differential subordination was introduced in [1], [2], [3] by J.A. Antonino and S. Romaguera. In [7] we have studied the strong differential subordinations in the general case and in [8] we have studied the first order linear strong differential subordinations. In [6] we have studied the second order linear strong differential subordinations. In this paper we study the second order non-linear strong differential subordinations. Our results may be applied to deduce sufficient conditions for univalence in the unit disc, such as starlikeness, convexity, alpha-convexity, close-to-convexity respectively.
Publié le : 2009-02-15
Classification:  analytic function,  differential subordination,  strong differential subordination,  30C45,  34A30 
@article{1235574201,
     author = {Oros, Georgia Irina and Oros, Gheorghe},
     title = {Second order non-linear strong differential subordinations},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {16},
     number = {1},
     year = {2009},
     pages = { 171-178},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1235574201}
}

Oros, Georgia Irina; Oros, Gheorghe. Second order non-linear strong differential subordinations. Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, pp.  171-178. http://gdmltest.u-ga.fr/item/1235574201/