# Recurrence relations for Wronskian Laguerre polynomials

**Authors:** Niels Bonneux, Marco Stevens

arXiv: 1905.12312 · 2021-07-06

## TL;DR

This paper extends the recent generalization of recurrence relations from Hermite polynomials to Wronskians, to include Laguerre polynomials, broadening the understanding of polynomial Wronskian relations.

## Contribution

It introduces a new recurrence relation for Wronskians of Laguerre polynomials, analogous to the recent Hermite polynomial generalization.

## Key findings

- Derived a 3-term recurrence relation for Laguerre polynomial Wronskians.
- Established parallels between Hermite and Laguerre polynomial Wronskian relations.

## 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.

## Full text

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## References

14 references — full list in the complete paper: https://tomesphere.com/paper/1905.12312/full.md

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Source: https://tomesphere.com/paper/1905.12312