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STUDIA MATHEMATICA - Issue no. 3 / 2010 | |||||||
Article: |
SOME STRONG DIFFERENTIAL SUBORDINATIONS OBTAINED BY SĂLĂGEAN DIFFERENTIAL OPERATOR. Authors: . |
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Abstract: S. S. Miller and P. T. Mocanu introduced the notion of differential superordination as a dual concept of differential subordination. The notion of strong differential subordination was introduced by J. A. Antonino and S. Romaguera. By using the Sălăgean differential operator we introduce a class of holomorphic functions denoted by Snm(α), and obtain some strong subordinations results. Key words and phrases. differential superordination, strong differential superordination, univalent function, subordinant, best subordinant, differential operator. |
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