Quasi-orthogonality and real zeros of some _2F_2 and _3F_2 polynomials

摘要

In this paper, we prove the quasi-orthogonality of a family of _2F_2 polynomials and several classes of _3F_2 polynomials that do not appear in the Askey scheme for hypergeometric orthogonal polynomials. Our results include, as a special case, two _3F_2 polynomials considered by Dickinson in 1961. We also discuss the location and interlacing of the real zeros of our polynomials.