Higher order recurrence relation for exceptional Charlier, Meixner, Hermite and Laguerre orthogonal polynomials

2014/09/16 by Durán, Antonio J. · 2 citations
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1409.4697

Abstract

In this paper we prove in a constructing way that exceptional Charlier, Meixner, Hermite and Laguerre polynomials satisfy higher order recurrence relations. Our conjecture is that the recurrence relations provided in this paper have minimal order.

Cited by

• Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials
• Using quasi-Darboux transformations to construct exceptional matrix polynomials

Related

• Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations
• Orthogonal matrix polynomials and higher order recurrence relations
• Exceptional Charlier and Hermite orthogonal polynomials
• Three-term Recurrence Relation with Arbitrary Degree Steps for Orthogonal Polynomials
• Asymptotics of Orthogonal Polynomials via Recurrence Relations