• An extended generalized q -extensions for the apostol type polynomials 

      Ramirez Quiroga, William David; Castilla, Letelier; Urieles Guerrero, Alejandro (Hindawi Limited, 2018-05-22)
      Through a modification on the parameters associated with generating function of the q-extensions for the Apostol type polynomials of order and level m, we obtain some new results related to a unified presentation of 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 ...
    • 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 ...
    • On An Operational Matrix Method Based On Generalized Bernoulli Polynomials Of Level M 

      Quintana, Yamilet; Ramirez Quiroga, William David; Urieles Guerrero, Alejandro (Calcolo, 2018-09-01)
      An operational matrix method based on generalized Bernoulli polynomials of level m is introduced and analyzed in order to obtain numerical solutions of initial value problems. The most innovative component of our method ...