Hankel Determinant for a Sequence that Satisfies a Three-Term Recurrence Relation
Baghdadi Aloui
Faculty of Sciences of Gabes
Department of Mathematics
City of Erriadh
6072 Gabes
Tunisia
Abstract:
In this paper, we give an explicit expression for the Hankel
determinants for a sequence satisfying a three-term recurrence
relation. Our method of evaluation is based on the theory of orthogonal
polynomials. In particular, we analyze the linear functional associated
with such a sequence.
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Received October 22 2014; revised versions received December 15 2014;
December 18 2014.
Published in Journal of Integer Sequences,
January 7 2015.
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