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
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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