English

Derivatives with respect to the order of the Bessel function of the first kind

Classical Analysis and ODEs 2014-01-21 v1

Abstract

An explicit expression of the k-th derivative of the Bessel function Jν(z)J_\nu(z), with respect to its order ν\nu, is given. Particularizations for the cases of positive or negative ν\nu are considered.

Keywords

Cite

@article{arxiv.1401.4850,
  title  = {Derivatives with respect to the order of the Bessel function of the first kind},
  author = {J. Sesma},
  journal= {arXiv preprint arXiv:1401.4850},
  year   = {2014}
}

Comments

9 pages