| Paper title: |
Some Applications of Differential Subordinations |
| Published in: | Issue 2, (Vol. 5) / 2011 |
| Publishing date: | 2011-10-28 |
| Pages: | 89-93 |
| Author(s): | MACOVEI Anamaria |
| Abstract. | In this paper we present a few applications of differential subordinations. For functions p analytic in the open unit disc U, with p(0) = 1, consisting of p(z) is subordinate to q ( z ) = (1 + A z ) /(1 − A z ) |
| Keywords: | Starlike Function, Convex Function, Differential Subordination, Subordinant, Dominant, Univalent |
| References: | 1. Holhoş, A.A., Aplications of diferential subordinations, Studia Univ. Babeş-Bolyai, Mathematica, volume XLVIII, 2 (2003), 61-63; 2. Macovei, A.G., Applications of Differential Subordinations and superordinations and Sandwich Theorems, Proceedings, Presses Internationales Polytechnique, Montreal, Quebec (2011), 274-277, ISBN – 978-2-553-01596-0; 3. Macovei, A.G., Differential subordinations and superordinations for analytic functions defined by the Ruscheweyh linear operator, International Journal of Academic Research, Volume 3, Issue 4 (2011), ISSN: 2075-4124, E-ISSN: 2075-7107; 4. Miller, S. S., Mocanu, P.T., On some classes of first order differential subordinations, Michigan Math. J. 32 (1985), 185-195; 5. Miller, S.S., Mocanu, P. T., Differential Subordinantions. Theory and Applications, Marcel Dekker Inc., New York, Basel, 2000; 6. Mocanu, P.T., On a class of some classes of first-order differential subordinations, Babeş-Bolyai Univ., Fac. of Math. Res. Sem., Seminar on Mathematical Analysis, Preprint (1991), 37- 47; 7. Mocanu, P. T., Bulboacă, T., Sălăgean, G., Şt., Teoria geometrică a funcţiilor univalente, Casa Cărţilor de Ştiinţă, Cluj, 1999, 196-197,241-245; 8. Owa, S., Obradovic, M., An application of differential subordinations and some criteria for univalency, Bull. Austral. Math. Soc., 41 (1990), 487-494. |
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