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Research Articles

Recurrence relations for Wronskian Laguerre polynomials

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Pages 395-406 | Received 29 Oct 2019, Accepted 10 Feb 2020, Published online: 02 Jul 2021
 

Abstract

The 3-term recurrence relation for Hermite polynomials was recently generalized to a recurrence relation for Wronskians of Hermite polynomials. In this note, a similar generalization for Laguerre polynomials is obtained.

2010 Mathematics Subject Classification:

Acknowledgments

The authors thank Zachary Hamaker and John Stembridge for valuable discussions and Arno Kuijlaars for carefully reading the manuscript.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

They are supported in part by the long term structural funding-Methusalem grant of the Flemish Government (Vlaamse Overheid), and by EOS project 30889451 of the Flemish Science Foundation (FWO) - Fonds Wetenschappelijk Onderzoek. Marco Stevens is also supported by the Belgian Interuniversity Attraction Pole P07/18, and by FWO research grant G.0864.16.

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