A Note on Monotonicity of Zeros of Generalized Hermite-Sobolev-Type Orthogonal Polynomials Articles uri icon

publication date

  • January 2010

start page

  • 831

end page

  • 838

issue

  • 11

volume

  • 21

international standard serial number (ISSN)

  • 1065-2469

electronic international standard serial number (EISSN)

  • 1476-8291

abstract

  • In this paper, we analyse a Mehler&-Heine formula and the behaviour of zeros of orthogonal polynomials associated with a symmetrization process of Laguerre&-Sobolev-type orthogonal polynomials. More precisely, the limit of these zeros, their monotonicity as well as their dependence of the masses are obtained. In such a way, we obtain a natural generalization of the results given in Alfaro et al. [Asymptotic for a generalization of Hermite polynomials, Asympt. Anal. 66 (2010), pp. 103&-117].