Journal of Integer Sequences, Vol. 18 (2015), Article 15.1.5

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


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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