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Addition formulas for polynomials built on classical combinatorial sequences

Christian Radoux - No affiliation found

2000/03/01 Full-length article DOI: 10.1016/S0377-0427(99)00120-X Journal: Journal of Computational and Applied Mathematics

Abstract:

AbstractWe prove addition formulas for some polynomials built on combinatorial sequences (Catalan numbers, Bell numbers, …) or related to classical polynomials (Hermite, …). These relations give also an explicit computation of several Hankel determinants.