Browsing Artículos by Subject "Matrix orthogonal polynomials"

Now showing items 1-3 of 3

    • Matrix Gegenbauer polynomials : the 2×2 fundamental cases 

      Pacharoni, María Inés; Zurrián, Ignacio Nahuel (2016)
      In this paper, we exhibit explicitly a sequence of 2 × 2 matrix valued orthogonal polynomials with respect to a weight W p,n , for any pair of real numbers p and n such that 0 < p < n. The entries of these polynomiales ...

    • Spherical functions associated with the three dimensional sphere 

      Pacharoni, María Inés; Zurrián, Ignacio Nahuel; Tirao, Juan Alfredo (2014)
      In this paper, we determine all irreducible spherical functions of any K-type associated to the pair (G;K) = (SO(4); SO(3)). This is accomplished by associating to a vector valued function H = H(u) of a real variable ...

    • Spherical functions of fundamental K-types associated with the n-dimensional sphere 

      Tirao, Juan Alfredo; Zurrián, Ignacio Nahuel (2014)
      In this paper, we describe the irreducible spherical functions of fundamental K-types associated with the pair (G, K) = (SO(n + 1), SO(n)) in terms of matrix hypergeometric functions. The output of this description is that ...