A high-order q-difference equation for q-Hahn multiple orthogonal polynomials Articles uri icon

publication date

  • May 2012

start page

  • 833

end page

  • 847

issue

  • 5

volume

  • 18

international standard serial number (ISSN)

  • 1023-6198

electronic international standard serial number (EISSN)

  • 1563-5120

abstract

  • A high-order linear q-difference equation with polynomial coefficients having q-Hahn multiple orthogonal polynomials as eigenfunctions is given. The order of the equation coincides with the number of orthogonality conditions that these polynomials satisfy. Some limiting situations when q -> 1 are studied. Indeed, the difference equation for Hahn multiple orthogonal polynomials given in Lee [J. Approx. Theory (2007), doi:10.1016/j.jat.2007.06.002] is obtained as a limiting case.

keywords

  • multiple orthogonal polynomials; hermite-pade approximation; difference equations; classical orthogonal polynomials of a discrete variable