| Paper title: |
The Applications of Differential Subordinations in the Unit Disk |
| Published in: | Issue 1, (Vol. 3) / 2009 |
| Publishing date: | 2009-04-14 |
| Pages: | 46-47 |
| Author(s): | Macovei Anamaria |
| Abstract. | In this paper we present a few the applications of differential subordinations, on the class of admissible functions ψ[Ω,q]. These are actually generalizations (extensions) of certain results published in our previous papers. |
| Keywords: | Differential Subordinations, The Class Of Admissible Functions, Univalent Functions |
| References: | 1. Miller, S.S., Mocanu, P. T., The theory and applications of second-order differential subordinations, Studia Univ. Babeş- Bolyai, Math., 34, 4 (1989), 3-33; 2. Miller, S.S., Mocanu, P. T., Differential subordinations and univalent functions, Michig. Math.J., 28(1981),157-177; 3. Miller, S.S., Mocanu, P. T., Differential subordinations andinequalities in the comple plane, J. Diff. Eqn., 67(1987), 199- 211; 4. Miller, S.S., Mocanu, P. T., Differential Subordinations. Theory and Applications, Marcel Dekker Inc., New-York-Basel, 2000; 5. Mocanu, P. T., Bulboacă, T., Sălăgean, G., Şt., Teoria geometrică a funcţiilor univalente, Casa Cărţilor de Ştiinţă, Cluj, 1999, 196-197,241-245; 6. Schiffer, M., Faber polynomial in the theory of univalent functions, Bull. Amer. Math. Soc., 54(1948), 503-517. |
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