Open Access
2009 On a class of univalent functions defined by Salagean differential operator
Georgia Irina Oros, Roxana Sendrutiu, Adela Olimpia Taut
Banach J. Math. Anal. 3(1): 61-67 (2009). DOI: 10.15352/bjma/1240336424
Abstract

By using a certain operator $S^n$, we introduce a class of holomorphic functions $S_n(\beta )$, and obtain some subordination results. We also show that the set $S_n(\beta )$ is convex and obtain some new differential subordinations related to certain integral operators.

References

1.

G. Oros and G.I. Oros, A Class of Holomorphic Function II, Libertas Math., 23 (2003), 65–-68. MR2002307 1060.30021G. Oros and G.I. Oros, A Class of Holomorphic Function II, Libertas Math., 23 (2003), 65–-68. MR2002307 1060.30021

2.

G.S. Sălăgean, Subclasses of univalent functions, Complex Analysis–Fift Romanian–Finnish Seminar, Part 1 (Bucharest, 1981), 362–372, Lecture Notes in Math., 1013, Springer, Berlin 1983. MR738107G.S. Sălăgean, Subclasses of univalent functions, Complex Analysis–Fift Romanian–Finnish Seminar, Part 1 (Bucharest, 1981), 362–372, Lecture Notes in Math., 1013, Springer, Berlin 1983. MR738107

3.

D.J. Hallenbeck and S. Ruscheweyh, Subordination by convex functions, Proc. Amer. Math. Soc., 52 (1975), 191–195. MR374403 10.2307/2040127 0311.30010D.J. Hallenbeck and S. Ruscheweyh, Subordination by convex functions, Proc. Amer. Math. Soc., 52 (1975), 191–195. MR374403 10.2307/2040127 0311.30010
Copyright © 2009 Tusi Mathematical Research Group
Georgia Irina Oros, Roxana Sendrutiu, and Adela Olimpia Taut "On a class of univalent functions defined by Salagean differential operator," Banach Journal of Mathematical Analysis 3(1), 61-67, (2009). https://doi.org/10.15352/bjma/1240336424
Published: 2009
Vol.3 • No. 1 • 2009
Back to Top