ON CESÁRO MEANS OF HYPERGEOMETRIC FUNCTIONS

MASLINA DARUS(*), RABHA W. IBRAHIM(**)

School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor Darul Ehsan Malaysia, email: *maslina@ukm.my , **rabhaibrahim@yahoo.com

Abstract

The polynomial approximants which retain the zero free property of a given analytic functions in the unit disk of the form (...). The convolution methods of a geometric functions that the Cesaro means of order μ retains the zero free property of the derivatives of bounded convex functions in the unit disk are used. Other properties are established.

Keywords

Univalent function Cesaro sum Convolution product