Now showing items 1-7 of 7

    • Euler matrices and their algebraic properties revisited 

      Quintana, Yamilet; Ramírez, William; Urieles, Alejandro (Applied Mathematics and Information Sciences, 2020)
      This paper addresses the generalized Euler polynomial matrix E (α) (x) and the Euler matrix E . Taking into account some properties of Euler polynomials and numbers, we deduce product formulae for E (α) (x) and define the ...
    • Euler matrices and their algebraic properties revisited 

      Quintana, Yamilet; Ramírez, William; Urieles (Applied Mathematics and Information Sciences, 2020)
      This paper addresses the generalized Euler polynomial matrix E (α) (x) and the Euler matrix E . Taking into account some properties of Euler polynomials and numbers, we deduce product formulae for E (α) (x) and define the ...
    • Fourier expansion and integral representation generalized Apostol-type Frobenius–Euler polynomials 

      Urieles Guerrero, Alejandro; Ramírez, William; Ortega, María José; Bedoya, Daniel (Corporación Universidad de la Costa, 2020)
      The main purpose of this paper is to investigate the Fourier series representation of the generalized Apostol-type Frobenius–Euler polynomials, and using the above-mentioned series we find its integral representation. At ...
    • Generalized apostol-type polynomial matrix and its algebraic properties 

      Quintana, Yamilet; Ramírez, William; Urieles Guerrero, Alejandro (Mathematical Reports, 2019)
      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 ...
    • A new class of degenerate Apostol-type Hermite polynomials and applications 

      Cesarano, Clemente; Ramírez, William; Khan, Subuhi (University of VeronaItaly, 2022-04)
      In this article, a new class of the degenerate Apostol–type Hermite polynomials is introduced. Certain algebraic and differential properties of there polynomials are derived. Most of the results are proved by using ...
    • New generalized apostol-frobenius-euler polynomials and their matrix approach 

      Ortega, María José; Ramírez, William; Urieles, Alejandro (2021)
      In this paper, we introduce a new extension of the generalized Apostol-Frobenius-Euler polynomials ℋn[m−1,α](x; c,a; λ; u). We give some algebraic and differential properties, as well as, relationships between this polynomials ...
    • New results on the q-generalized Bernoulli polynomials of level m 

      Urieles Guerrero, Alejandro; Ortega, María José; Ramírez, William; Vega, Samuel (Demonstratio Mathematica, 2019-09-17)
      This paper aims to show new algebraic properties from the q-generalized Bernoulli polynomials B[m−1]n(x;q) of level m, as well as some others identities which connect this polynomial class with the q-generalized Bernoulli ...