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http://dx.doi.org/10.11568/kjm.2011.19.1.001

ON A CERTAIN CLASS OF p-VALENT UNIFORMLY CONVEX FUNCTIONS USING DIFFERENTIAL OPERATOR  

Lee, S.K. (Department of Mathematics and Education Research Institute Gyeongsang National University)
Khairnar, S.M. (Department of Mathematics Maharashtra Academy of Engineering)
Rajas, S.M. (Department of Mathematics G. H. Raisoni Institute of Engineering & Technology)
Publication Information
Korean Journal of Mathematics / v.19, no.1, 2011 , pp. 1-16 More about this Journal
Abstract
In this paper, using differential operator, we have introduce new class of p-valent uniformly convex functions in the unit disc U = {z : |z| < 1} and obtain the coefficient bounds, extreme bounds and radius of starlikeness for the functions belonging to this generalized class. Furthermore, partial sums $f_k(z)$ of functions $f(z)$ in the class $S^*({\lambda},{\alpha},{\beta})$ are considered. The various results obtained in this paper are sharp.
Keywords
uniformly convex functions; coefficient bounds; extreme points; radius of starlikeness and partial sums;
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