Abstract
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.
Citation
Georgia Irina Oros. Gheorghe Oros. "Second order non-linear strong differential subordinations." Bull. Belg. Math. Soc. Simon Stevin 16 (1) 171 - 178, February 2009. https://doi.org/10.36045/bbms/1235574201
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