论文信息 - Pólya frequency sequences and real zeros of some 3 F 2 polynomials ✩

Pólya frequency sequences and real zeros of some 3 F 2 polynomials ✩

We prove that the zeros of some families of 3F2 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. © 2006 Elsevier Inc. All rights reserved.

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