Generalized Apostol-type polynomial matrix and its algebraic properties Articles uri icon

publication date

  • March 2019

start page

  • 249

end page

  • 264

issue

  • 2

volume

  • 21(71)

International Standard Serial Number (ISSN)

  • 1582-3067

abstract

  • The aim of this paper is to introduce the generalized Apostol-type polynomial matrix W [m−1,α](x;c,a;λ;µ;ν) and the generalized Apos-tol-type matrix W [m−1,α](c,a;λ;µ;ν). Using some properties of the generalized Apostol-type polynomials and numbers, we deduce a product formula for W [m−1,α](x;c,a;λ;µ;ν) and provide some factorizations of the Apostol-type polynomial matrix W [m−1](x;c,a;λ;µ;ν), involving the generalized Pascal matrix, Fibonacci and Lucas matrices, respectively. AMS 2010 Subject Classification: 11B68, 11B83, 11C08, 11B39, 33B99.

subjects

  • Mathematics

keywords

  • generalized apostol-type polynomials, generalized apostol-type matrix; admissible generalized apostol-type matrix, generalized pascal; matrix, generalized fibonacci matrix, lucas matrix