Admissibility condition for exceptional Laguerre polynomials

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:424

Article

Duran, Antonio J.¹  Perez, Mario^2,3 

[1] Univ Seville, Dept Anal Matemat, E-41080 Seville, Spain

[2] Univ Zaragoza, Dept Matemat, E-50009 Zaragoza, Spain

[3] Univ Zaragoza, IUMA, E-50009 Zaragoza, Spain

关键词: Orthogonal polynomials;    Exceptional orthogonal polynomials;    Differential operators;    Laguerre polynomials;   

DOI  :  10.1016/j.jmaa.2014.11.035

来源: Elsevier

【 摘 要 】

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). (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free