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Bounds for extreme zeros of Meixner–Pollaczek 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, ...
Jordaan, Kerstin Heidrun; Wang, H.; Zhou, J.(Taylor and Francis, 2014-09)
The monotonicity properties of all the zeros with respect to a parameter of orthogonal polynomials
associated with an even weight function are studied. The results we obtain extend the
work of A. Markoff. The monotonicity ...