Combinatorial properties of Boubaker polynomials

Abstract

In this paper, we evaluate several families of Toeplitz-Hessenberg determinants whose entries are the Boubaker polynomials. Equivalently, these determinant formulas may be also rewritten as combinatorial identities involving sum of products of Boubaker polynomials and multinomial coefficients. We also present new formulas for Boubaker polynomials via recurrent threediagonal determinants.