Browsing by Author "Ramírez, William"
Now showing items 17 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 Apostoltype 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 Apostoltype Frobenius–Euler polynomials, and using the abovementioned series we find its integral representation. At ... 
Generalized apostoltype 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 Apostoltype polynomial matrix W [m−1,α](x;c,a;λ;µ;ν) and the generalized Apostoltype matrix W [m−1,α](c,a;λ;µ;ν). Using some properties of the generalized Apostoltype ... 
A new class of degenerate Apostoltype Hermite polynomials and applications
Cesarano, Clemente; Ramírez, William; Khan, Subuhi (University of VeronaItaly, 202204)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 apostolfrobeniuseuler polynomials and their matrix approach
Ortega, María José; Ramírez, William; Urieles, Alejandro (2021)In this paper, we introduce a new extension of the generalized ApostolFrobeniusEuler 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 qgeneralized Bernoulli polynomials of level m
Urieles Guerrero, Alejandro; Ortega, María José; Ramírez, William; Vega, Samuel (Demonstratio Mathematica, 20190917)This paper aims to show new algebraic properties from the qgeneralized Bernoulli polynomials B[m−1]n(x;q) of level m, as well as some others identities which connect this polynomial class with the qgeneralized Bernoulli ...