English

A recurrence relation for generalised connection coefficients

Classical Analysis and ODEs 2023-08-17 v1

Abstract

We formulate and prove a general recurrence relation that applies to integrals involving orthogonal polynomials and similar functions. A special case are connection coefficients between two sets of orthonormal polynomials, another example is integrals of products of Legendre functions.

Keywords

Cite

@article{arxiv.2308.08266,
  title  = {A recurrence relation for generalised connection coefficients},
  author = {Jing Gao and Arieh Iserles},
  journal= {arXiv preprint arXiv:2308.08266},
  year   = {2023}
}
R2 v1 2026-06-28T11:56:52.884Z