English

Derivatives with respect to the order of the Legendre Polynomials

Classical Analysis and ODEs 2015-02-24 v1

Abstract

Expressions for the derivatives of the Legendre polynomials of the first kind with respect to the order of these polynomials are given. An explicit form for the fourth derivative is presented.

Keywords

Cite

@article{arxiv.1502.06507,
  title  = {Derivatives with respect to the order of the Legendre Polynomials},
  author = {Bernard J. Laurenzi},
  journal= {arXiv preprint arXiv:1502.06507},
  year   = {2015}
}