English

Efficient Legendre polynomials transforms: from recurrence relations to Schoenberg's theorem

Numerical Analysis 2017-09-20 v1 High Energy Physics - Theory

Abstract

We report results on various techniques which allow to compute the expansion into Legendre (or in general Gegenbauer) polynomials in an efficient way. We describe in some detail the algebraic/symbolic approach already presented in Ref.1 and expand on an alternative approach based on a theorem of Schoenberg.

Keywords

Cite

@article{arxiv.1709.06082,
  title  = {Efficient Legendre polynomials transforms: from recurrence relations to Schoenberg's theorem},
  author = {Enrico Onofri},
  journal= {arXiv preprint arXiv:1709.06082},
  year   = {2017}
}

Comments

10 pages, 8 figures

R2 v1 2026-06-22T21:47:17.823Z