Generating function: Multiple orthogonal polynomials Article

Carballosa, W, Hernández-Gómez, JC, Piñeiro, LR et al. (2016). Generating function: Multiple orthogonal polynomials . 10(13-16), 761-772. 10.12988/ams.2016.510669

cited authors

  • Carballosa, W; Hernández-Gómez, JC; Piñeiro, LR; Sigarreta, JM


  • In this paper we present a general methodology to obtain a generating function for some multiple orthogonal polynomials of type I with regular indices. In particular, we obtain an explicit generating functions Px(t): = ∑n=0∞ Q2n(x)tn and Ix(t): = ∑n=0∞ Q2n+1(x)tn with Qn(x) = qn,1(x) + x qn,2(x) where (qn,1(x), qn,2(x)) is the r-vector of type I associated with the multiple orthogonal Hermite polynomial with regular index for r = 2.

publication date

  • January 1, 2016

Digital Object Identifier (DOI)

start page

  • 761

end page

  • 772


  • 10


  • 13-16