Combinatorial Determinant Formulas for Boubaker Polynomials

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 al...

Full description

Bibliographic Details
Main Author:	Taras Goy
Format:	Article
Language:	English
Published:	Hindawi Limited 2020-01-01
Series:	Mathematical Problems in Engineering
Online Access:	http://dx.doi.org/10.1155/2020/1528639

id	doaj-2d82c73cc0b04f86901aafdb631e71da
record_format	Article
spelling	doaj-2d82c73cc0b04f86901aafdb631e71da2020-11-25T02:36:23ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/15286391528639Combinatorial Determinant Formulas for Boubaker PolynomialsTaras Goy0Faculty of Mathematics and Computer Science, Vasyl Stefanyk Precarpathian National University, 76018 Ivano-Frankivsk, UkraineIn 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 three-diagonal determinants.http://dx.doi.org/10.1155/2020/1528639
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Taras Goy
spellingShingle	Taras Goy Combinatorial Determinant Formulas for Boubaker Polynomials Mathematical Problems in Engineering
author_facet	Taras Goy
author_sort	Taras Goy
title	Combinatorial Determinant Formulas for Boubaker Polynomials
title_short	Combinatorial Determinant Formulas for Boubaker Polynomials
title_full	Combinatorial Determinant Formulas for Boubaker Polynomials
title_fullStr	Combinatorial Determinant Formulas for Boubaker Polynomials
title_full_unstemmed	Combinatorial Determinant Formulas for Boubaker Polynomials
title_sort	combinatorial determinant formulas for boubaker polynomials
publisher	Hindawi Limited
series	Mathematical Problems in Engineering
issn	1024-123X 1563-5147
publishDate	2020-01-01
description	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 three-diagonal determinants.
url	http://dx.doi.org/10.1155/2020/1528639
work_keys_str_mv	AT tarasgoy combinatorialdeterminantformulasforboubakerpolynomials
_version_	1715438393924517888

Combinatorial Determinant Formulas for Boubaker Polynomials

Similar Items