English

An integral representation for the product of two parabolic cylinder functions having unrelated arguments

Classical Analysis and ODEs 2015-02-03 v1

Abstract

An integral representation is provided for the parabolic cylinder function product Dμ(x)Dμ(y)D_{\mu}(x)D_{\mu}(-y) where Reμ<0Re\,\mu<0 and x>yx>y are unrelated. A few simple consequences are given in the form of hyperbolic integrals and a sum rule.

Keywords

Cite

@article{arxiv.1502.00102,
  title  = {An integral representation for the product of two parabolic cylinder functions having unrelated arguments},
  author = {M. L. Glasser},
  journal= {arXiv preprint arXiv:1502.00102},
  year   = {2015}
}

Comments

5 pages