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

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

Johnston, S.J.; Jordaan, Kerstin Heidrun
URI: http://hdl.handle.net/2263/43427
Date: 2015-04

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.

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