Citation:
Applied Mathematics and Computation, 222, pp. 612-61
ISSN:
0096-3003
DOI:
10.1016/j.amc.2013.07.074
Sponsor:
The author FM is partially supported by Dirección General de Investigación, Ministerio de Economía y Competitividad
Innovación of Spain, Grant MTM2012 36732 C03 01. The author JJMB is partially supported by Dirección General de Inves
tigación, Ministerio de Ciencia e Innovación of Spain and European Regional Development Found, Grant MTM2011 28952
C02 01, and Junta de Andalucía, Research Group FQM 0229 (belonging to Campus of International Excellence CEI MAR), and
projects P09 FQM 4643 and P11 FQM 7276.
We consider a varying discrete Sobolev inner product involving the Laguerre weight. Our aim is to study the asymptotic properties of the corresponding orthogonal polynomials and of their zeros. We are interested in Mehler-Heine type formulas because they descrWe consider a varying discrete Sobolev inner product involving the Laguerre weight. Our aim is to study the asymptotic properties of the corresponding orthogonal polynomials and of their zeros. We are interested in Mehler-Heine type formulas because they describe the asymptotic differences between these Sobolev orthogonal polynomials and the classical Laguerre polynomials. Moreover, they give us an approximation of the zeros of the Sobolev polynomials in terms of the zeros of other special functions. We generalize some results appeared very recently in the literature for both the varying and non-varying cases.[+][-]