The Euler-Seidel matrix, Hankel matrices and moment sequences
Journal of integer sequences, Tome 13 (2010) no. 8
We study the Euler-Seidel matrix of certain integer sequences, using the binomial transform and Hankel matrices. For moment sequences, we give an integral representation of the Euler-Seidel matrix. Links are drawn to Riordan arrays, orthogonal polynomials, and Christoffel-Darboux expressions.
Classification :
11B83, 11B39, 11C20, 15B05, 15B36, 42C05
Keywords: Euler-seidel matrix, Hankel matrix, integer sequence, moment sequence, orthogonal polynomial, riordan array
Keywords: Euler-seidel matrix, Hankel matrix, integer sequence, moment sequence, orthogonal polynomial, riordan array
@article{JIS_2010__13_8_a0,
author = {Barry, Paul and Hennessy, Aoife},
title = {The {Euler-Seidel} matrix, {Hankel} matrices and moment sequences},
journal = {Journal of integer sequences},
year = {2010},
volume = {13},
number = {8},
zbl = {1239.11027},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2010__13_8_a0/}
}
Barry, Paul; Hennessy, Aoife. The Euler-Seidel matrix, Hankel matrices and moment sequences. Journal of integer sequences, Tome 13 (2010) no. 8. http://geodesic.mathdoc.fr/item/JIS_2010__13_8_a0/