The family of general Jacobi polynomials P(α,β)
n where α, β ∈ C can be characterised by complex (non-
Hermitian) orthogonality relations (cf. Kuijlaars et al. (2005)). The special subclass of Jacobi polynomials
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, ...
Nangho, Maurice Kenfack; Jordaan, Kerstin(National Academy of Science of Ukraine, 2018-11-27)
We prove an equivalence between the existence of the rst structure relation
satis ed by a sequence of monic orthogonal polynomials fPng1n
=0, the orthogonality of the
second derivatives fD2
=2 and a generalized ...