IJPAM: Volume 22, No. 2 (2005)

HADAMARD PRODUCTS OF CERTAIN p-VALENTLY
ANALYTIC FUNCTIONS

Maslina Darus
School of Mathematical Sciences
Faculty of Science and Technology
University Kebangsaan Malaysia
Bangi, Selangor Darul Ehsan, 43600, MALAYSIA
e-mail: maslina@pkrisc.cc.ukm.my


Abstract.In this paper, we introduce and study a class of p-valently functions with negative coefficients defined by using Hadamard products in the sense of Juneja [#!Juneja!#]. Some basic properties which include coefficient bounds, growth and distortion, and closure theorem are given. Further, the radii of starlikeness and convexity is also given.

Received: May 29, 2005

AMS Subject Classification: 30C45

Key Words and Phrases: convex, starlike, p-valently functions, Hadamard product, integral operator, fractional calculus

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 22
Issue: 2