Geodesic
Hankel determinant for a sequence that satisfies a three-term recurrence relation
Journal of integer sequences, Tome 18 (2015) no. 1
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.
Classification : 33C45, 42C05
Keywords: orthogonal polynomial, three-term recurrence relation, semi-classical linear functional, Hankel determinant, Bessel polynomial 
@article{JIS_2015__18_1_a6,
     author = {Aloui,  Baghdadi},
     title = {Hankel determinant for a sequence that satisfies a three-term recurrence relation},
     journal = {Journal of integer sequences},
     year = {2015},
     volume = {18},
     number = {1},
     zbl = {1312.33020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_1_a6/}
}
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Aloui,  Baghdadi. Hankel determinant for a sequence that satisfies a three-term recurrence relation. Journal of integer sequences, Tome 18 (2015) no. 1. http://geodesic.mathdoc.fr/item/JIS_2015__18_1_a6/