# SUFFICIENT CONDITIONS FOR STARLIKENESS AND STRONGLY-STARLIKENESS

• Published : 2007.01.31
• 61 11

#### Abstract

In this paper we derive certain sufficient conditions for star-likeness and strongly-starlikeness of analytic functions in U, by using the method of differential subordination.

#### Keywords

analytic function;starlike functions of order $\beta$;strongly starlike functions;subordination

#### References

1. S. S. Miller and P. T. Mocanu, Second order differential inequalities in the complex plane, J. Math. Anal. Appl. 65 (1978), 289-305 https://doi.org/10.1016/0022-247X(78)90181-6
2. S. S. Miller, Differential subordinations and univalent functions, Michigan Math. I. 28 (1981), 157-171 https://doi.org/10.1307/mmj/1029002507
3. S. S. Miller, The theory and applications of second order differential subordinations, Studia Univ. Babes-Bolyai, Math. 34 (1989), no. 4, 3-33
4. K. S. Padmanabhan, On suffcient conditions for starlikeness, Indian J. Pure Appl. Math. 32 (2001), no. 4, 543-550
5. Ch. Pommerenke, Univalent Function, Vandenhoeck Ruprecht in Gottngen, 1975
6. C. Ramesha, S. Kumar, and K. S. Padmanabhan, A sufficient condition for starlikeness, Chinese J. Math. 23 (1995), 167-171