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Hankel determinants and orthogonal polynomials
Authors:Alexandre Junod
Institution:Université de Neuchâtel, Institut de Mathématiques, Rue Émile-Argand 11, CH-2007 Neuchâtel, Suisse
Abstract:We develop a general context for the computation of the determinant of a Hankel matrix Hn = (αi+j)0less-than-or-equals, slanti,jless-than-or-equals, slantn, assuming some suitable conditions for the exponential (or ordinary) generating function of the sequence (αn)ngreater-or-equal, slanted0. Several well-known particular cases are thus derived in a unified way.
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