Journal of Applied Mathematics and Stochastic Analysis 
Volume 10 (1997), Issue 2, Pages 197-202
doi:10.1155/S1048953397000245

A new criterion for close-to-convexity of partial sums of certain hypergeometric functions

Massoud Jahangiri

Kent State University, Department of Mathematics, Burton 44021, Ohio, USA

Received 1 February 1996; Revised 1 January 1997

Abstract

We consider the partial sums of certain hypergeometric functions and establish conditions imposed on the locations of zeros of those polynomials in order to be close-to-convex in the open unit disk.