Banach Journal of Mathematical Analysis

On a class of univalent functions defined by Salagean differential operator

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.

Article information

Source
Banach J. Math. Anal. Volume 3, Number 1 (2009), 61-67.

Dates
First available in Project Euclid: 21 April 2009

http://projecteuclid.org/euclid.bjma/1240336424

Digital Object Identifier
doi:10.15352/bjma/1240336424

Mathematical Reviews number (MathSciNet)
MR2461747

Zentralblatt MATH identifier
1155.30339

Citation

Taut, Adela Olimpia; Oros, Georgia Irina; Sendrutiu, Roxana. On a class of univalent functions defined by Salagean differential operator. Banach J. Math. Anal. 3 (2009), no. 1, 61--67. doi:10.15352/bjma/1240336424. http://projecteuclid.org/euclid.bjma/1240336424.

References

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• D.J. Hallenbeck and S. Ruscheweyh, Subordination by convex functions, Proc. Amer. Math. Soc., 52 (1975), 191–195.