Asymptotic behavior of the partial derivatives of Laguerre kernels and some applications Articles uri icon

publication date

  • January 2015

start page

  • 314

end page

  • 328

issue

  • 1

volume

  • 421

international standard serial number (ISSN)

  • 0022-247X

electronic international standard serial number (EISSN)

  • 1096-0813

abstract

  • The aim of this paper is to present some new results about the asymptotic behavior of the partial derivatives of the kernel polynomials associated with the Gamma distribution. We also show how these results can be used in order to obtain the inner relative asymptotics for certain Laguerre-Sobolev type polynomials.

keywords

  • orthogonal polynomials; laguerre polynomials; asymptotics; diagonal christoffel-darboux kernels; sobolev-type orthogonal polynomials