MATHEMATICA BOHEMICA, Vol. 133, No. 3, pp. 241-245 (2008)

On strong starlikeness criteria of
$p$-valent functions

V. B. L. Chaurasia, Hari Singh Parihar

V. B. L. Chaurasia, Hari Singh Parihar, Department of Mathematics, University of Rajashthan, Jaipur-302004, India, e-mail: harisingh.p@rediffmail.com

Abstract: 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 Obradovi${\rm\acute{c}}$ 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 $\alpha$.

Keywords: analytic function, strongly starlike function

Classification (MSC2000): 30C45

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