# Article

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Keywords:
analytic function; strongly starlike function
Summary:
H. Silverman (1999) investigated the properties of functions defined in terms of the quotient of the analytic representations of convex and starlike functions. Many research workers have been working on analytic functions to be strongly starlike like Obradović and Owa (1989), Takahashi and Nunokawa (2003), Lin (1993) etc. In this paper we obtain a sufficient condition for $p$-valent functions to be strongly starlike of order $\alpha$.
References:
[1] Silverman, H.: Convex and starlike criteria. Internet J. Math. Math. Sci. 22 (1999), 75-79. DOI 10.1155/S0161171299220753 | MR 1684341 | Zbl 0921.30009
[2] Lin, L. J.: On a criterion of starlikeness. Math. Japonica 38 (1993), 897-899. MR 1240291
[3] Nunokawa, M.: On the order of strongly starlikeness of strongly convex functions. Proc. Japan Acad. 69 (1993), 234-237. MR 1249218 | Zbl 0793.30007
[4] Obradović, M., Owa, S.: A criterion for starlikeness. Math. Nachr. 140 (1989), 97-102. DOI 10.1002/mana.19891400109 | MR 1015390
[5] Takahashi, N., Nunokawa, M.: A certain connection between starlike and convex functions. Appl. Math. Lett. 66 (2003), 653-655. DOI 10.1016/S0893-9659(03)00062-4 | MR 1986030 | Zbl 1064.30008

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