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Hankel determinants of some polynomials arising in combinatorial analysis

Authors:	Jet Wimp

Abstract:	In this paper we investigate Hankel determinants of the form $\left\| {c_{i + j} (t)} \right\|_{ij = 0,...,n}$ , where c _n(t) is one of a number of polynomials of combinatorial interest. We show how some results due to Radoux may be generalized, and also show how “stepped up” Hankel determinants of the form $\left\| {c_{i + j + k} (t)} \right\|_{ij = 0,...,n} ,k = 1,2,...,$ may be evaluated. This revised version was published online in June 2006 with corrections to the Cover Date.

Keywords:	combinatorial analysis orthogonal polynomials Pollaczek polynomials Hankel determinants moment problems Bessel polynomials Gegenbauer polynomials
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