Title: On the restricted Chebyshev-Boubaker polynomials,
Abstract: Using the language of Riordan arrays, we study a one-parameter family of
orthogonal polynomials that we call the restricted Chebyshev-Boubaker
polynomials. We characterize these polynomials in terms of the three term
recurrences that they satisfy, and we study certain central sequences defined
by their coefficient arrays. We give an integral representation for their
moments, and we show that the Hankel transforms of these moments have a simple
form. We show that the (sequence) Hankel transform of the row sums of the
corresponding moment matrix is defined by a family of polynomials closely
related to the Chebyshev polynomials of the second kind, and that these row
sums are in fact the moments of another family of orthogonal polynomials.