ON CESÁRO MEANS OF HYPERGEOMETRIC FUNCTIONS

  • MASLINA DARUS
    School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor Darul Ehsan Malaysia
    maslina@ukm.my
  • RABHA W. IBRAHIM
    School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor Darul Ehsan Malaysia
    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.

Cuvinte cheie

Univalent function; Cesaro sum; Convolution product