Multiple Meixner Polynomials on a Non-Uniform Lattice Articles uri icon

publication date

  • September 2020

start page

  • 1460


  • 9


  • 8

International Standard Serial Number (ISSN)

  • 2227-7390


  • We consider two families of type II multiple orthogonal polynomials. Each family has orthogonality conditions with respect to a discrete vector measure. The r components of each vector measure are q-analogues of Meixner measures of the first and second kind, respectively. These polynomials have lowering and raising operators, which lead to the Rodrigues formula, difference equation of order r+1, and explicit expressions for the coefficients of recurrence relation of order r+1. Some limit relations are obtained.


  • discrete orthogonality; hermite-padé approximation; multiple orthogonal polynomials; recurrence relations