Semiclassical linear functionals of class three. The symmetric case Articles uri icon

publication date

  • January 2013

start page

  • 162

end page

  • 178

issue

  • 1

volume

  • 19

international standard serial number (ISSN)

  • 1023-6198

electronic international standard serial number (EISSN)

  • 1563-5120

abstract

  • In this paper, we obtain all the symmetric semi-classical linear functionals of class three taking into account the irreducible expression of the corresponding Pearson equation. We focus our attention on their integral representations. Thus, some linear

keywords

  • orthogonal polynomials; semi-classical linear functionals; integral representations