A new criterion for close-to-convexity of partial sums of certain hypergeometric functions. (1997)

• Record Type: Journal Article
• Authors: Jahangiri, Massoud
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 10:Number 2(1997)
• Page Start: 197
• Page End: 202
• Publication Date: 1997
• Subjects: Gaussian hypergeometric functions -- convolutions -- convex -- starlike -- and close-to-convex functions; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953397000245
• Languages: English
• ISSNs: 1048-9533

Abstract

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.