On semiclassical linear functionals of class s=2: classification and integral representations Articles uri icon

publication date

  • June 2012

start page

  • 973

end page

  • 1000

issue

  • 6

volume

  • 18

international standard serial number (ISSN)

  • 1023-6198

electronic international standard serial number (EISSN)

  • 1563-5120

abstract

  • In this paper, we obtain all the semiclassical linear functionals of class two taking into account the irreducible expression of the corresponding Pearson equation. We focus our attention in their integral representations. Thus, some linear functionals very well known in the literature, associated with perturbations of classical linear functionals, as well as new linear functionals appear which have not been studied as far as we know.

keywords

  • orthogonal polynomials; semiclassical linear functionals; integral representations