Quasi-orthogonality and real zeros of some [formula omitted] and [formula omitted] polynomials.

In this paper, we prove the quasi-orthogonality of a family of F 2 2 polynomials and several classes of F 2 3 polynomials that do not appear in the Askey scheme for hypergeometric orthogonal polynomials. Our results include, as a special case, two F 2 3 polynomials considered by Dickinson in 1961. We also discuss the location and interlacing of the real zeros of our polynomials. [ABSTRACT FROM AUTHOR]