Quasi-orthogonality and real zeros of some 2F2 and 3F2 polynomials
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Date
Authors
Johnston, S.J.
Jordaan, Kerstin Heidrun
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract
In 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.
Description
Keywords
Hypergeometric polynomials, Quasi-orthogonal polynomials, Zeros, 3F2 polynomials, 2F2 polynomials
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Citation
Johnston, 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.