English

Differential equations associated with Legendre polynomials

Number Theory 2016-03-15 v1

Abstract

In this paper, we study non-linear differential equations associated with Legendre polynomials and their applications. From our study of non- linear differential equations, we derive some new and explicit identities for Legendre polynomials.

Keywords

Cite

@article{arxiv.1603.03986,
  title  = {Differential equations associated with Legendre polynomials},
  author = {Taekyun Kim and Dae san Kim},
  journal= {arXiv preprint arXiv:1603.03986},
  year   = {2016}
}

Comments

11 pages

R2 v1 2026-06-22T13:09:39.049Z