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Quasi-orthogonality and real zeros of some 2F2 and 3F2 polynomials

Quasi-orthogonality and real zeros of some 2F2 and 3F2 polynomials

Johnston, Sarah Jane; Jordaan, Kerstin
URI: http://hdl.handle.net/10500/21949
Date: 2015
Type: Postprint Article

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.

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

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