English

Admissibility condition for exceptional Laguerre polynomials

Classical Analysis and ODEs 2014-09-18 v1

Abstract

We prove a necessary and sufficient condition for the integrability of the weight associated to the exceptional Laguerre polynomials. This condition is very much related to the fact that the associated second order differential operator has no singularities in (0,+)(0,+\infty).

Cite

@article{arxiv.1409.4901,
  title  = {Admissibility condition for exceptional Laguerre polynomials},
  author = {Antonio J. Durán and Mario Pérez},
  journal= {arXiv preprint arXiv:1409.4901},
  year   = {2014}
}

Comments

12 pages

R2 v1 2026-06-22T05:58:38.085Z