IJPAM: Volume 73, No. 4 (2011)
THE CLASS OF UNIVALENT FUNCTIONS
School of Mathematical Sciences
Faculty of Science and Technology
Universiti Kebangsaan Malaysia
Bangi, Selangor, 43600, MALAYSIA
Abstract. Let denote the class of all analytic functions in the unit disc with the normalization and satisfying the condition
Thus, is the interior of the right half of the lemniscate of Bernoulli The radii of convexity, starlikeness (and some of others) for are determined.
Received: August 21, 2011
AMS Subject Classification: 30C45
Key Words and Phrases: analytic functions, convex functions, starlike functions, -starlike functions, strongly starlike functions
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395