Admissibility condition for exceptional Laguerre polynomials

作者：Duran Antonio J; Perez Mario^*

来源：Journal of Mathematical Analysis and Applications, 2015, 424(2): 1042-1053.

DOI：10.1016/j.jmaa.2014.11.035

• Orthogonal polynomials
• Exceptional orthogonal polynomials
• Differential operators
• Laguerre polynomials

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, +infinity).

• 出版日期2015-4-15