Johnston, S.J.Jordaan, Kerstin Heidrun2015-01-262015-01-262015-04Johnston, SJ & Jordaan, K 2015, 'Quasi-orthogonality and real zeros of some 2F2 and 3F2 polynomials', Applied Numerical Mathematics, vol. 90, no. 4, pp. 1-8.0168-9274 (print)1873-5460 (online)10.1016/j.apnum.2014.11.008http://hdl.handle.net/2263/43427In this paper, we prove the quasi-orthogonality of a family of 2F2 polynomials and several classes of 3F2 polynomials that do not appear in the Askey scheme for hypergeometric orthogonal polynomials. Our results include, as a special case, two 3F2 polynomials considered by Dickinson in 1961. We also discuss the location and interlacing of the real zeros of our polynomials.en©2014 IMACS. Published by Elsevier B.V. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Applied Numerical Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Applied Numerical Mathematics, vol. 90, no. 4, pp. 1-8, 2015. doi : 10.1016/j.apnum.2014.11.008Hypergeometric polynomialsQuasi-orthogonal polynomialsZeros3F2 polynomials2F2 polynomialsPostprint Article