IJPAM: Volume 78, No. 1 (2012)
WITH NEGATIVE COEFFICIENTS
College of Technology and Engineering
Jingzhou, 434020, P.R. CHINA
Abstract. In this paper, we introduce a class of functions which are analytic in the unit disk. We obtain a necessary and sufficient condition for a function to be in , and radii of close-to convexity, starlikeness and convexity. Further, an application in the fractional calculus for functions in is given.
Received: March 15, 2012
AMS Subject Classification: 30C45
Key Words and Phrases: negative coefficients, close-to convexity, starlikeness, convexity, fractional calculus
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395