, Volume 30, Issue 3-4, pp 323-333

Zeros of $_3 F_2 (_{d,e}^{ - n,b,c} ;z) $ Polynomials

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Abstract

We establish the location of the zeros of several classes of 3 F 2 hypergeometric polynomials that admit representations as various kinds of products involving 2 F 1 polynomials. We categorise the 3 F 2 polynomials considered here according to whether they are well-poised or k-balanced. Our results include and extend those obtained in [5].