Article ID Journal Published Year Pages File Type
4622263 Journal of Mathematical Analysis and Applications 2007 11 Pages PDF
Abstract

We prove that the zeros of some families of hypergeometric polynomials are all real and negative. This result has a connection with the theory of Pólya frequency sequences and functions. As a consequence, we establish the asymptotic distribution of these zeros when the degree of the polynomials tends to infinity.

Related Topics
Physical Sciences and Engineering Mathematics Analysis