Asymptotic Behaviour of Laguerre-Sobolev-type Orthogonal Polynomials: A Nondiagonal Case Articles uri icon

publication date

  • December 2010

start page

  • 998

end page

  • 1007

issue

  • 4

volume

  • 235

international standard serial number (ISSN)

  • 0377-0427

electronic international standard serial number (EISSN)

  • 1879-1778

abstract

  • In this paper we study the asymptotic behaviour of polynomials orthogonal with respect to a Sobolev-type inner product where p and q are polynomials with real coefficients, and A is a positive semidefinite matrix. We will focus our attention on their outer relative asymptotics with respect to the standard Laguerre polynomials as well as on an analog of the MehlerHeine formula for the rescaled polynomials.