Geodesic
On strong starlikeness criteria of $p$-valent functions
Mathematica Bohemica, Tome 133 (2008) no. 3, pp. 241-245

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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 $.
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 $.
DOI : 10.21136/MB.2008.140614
Classification : 30C45
Keywords: analytic function; strongly starlike function 
Chaurasia, V. B. L.; Parihar, Hari Singh. On strong starlikeness criteria of $p$-valent functions. Mathematica Bohemica, Tome 133 (2008) no. 3, pp. 241-245. doi: 10.21136/MB.2008.140614
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[1] Silverman, H.: Convex and starlike criteria. Internet J. Math. Math. Sci. 22 (1999), 75-79. | DOI | MR | Zbl

[2] Lin, L. J.: On a criterion of starlikeness. Math. Japonica 38 (1993), 897-899. | MR

[3] Nunokawa, M.: On the order of strongly starlikeness of strongly convex functions. Proc. Japan Acad. 69 (1993), 234-237. | MR | Zbl

[4] Obradović, M., Owa, S.: A criterion for starlikeness. Math. Nachr. 140 (1989), 97-102. | DOI | MR

[5] Takahashi, N., Nunokawa, M.: A certain connection between starlike and convex functions. Appl. Math. Lett. 66 (2003), 653-655. | DOI | MR | Zbl

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