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On integrals involving Hermite polynomials

Mathematical Physics 2011-03-15 v1 Classical Analysis and ODEs math.MP

Abstract

We show how the combined use of the generating function method and of the theory of multivariable Hermite polynomials is naturally suited to evaluate integrals of gaussian functions and of multiple products of Hermite polynomials.

Keywords

Cite

@article{arxiv.1103.1210,
  title  = {On integrals involving Hermite polynomials},
  author = {D. Babusci and G. Dattoli and M. Quattromini},
  journal= {arXiv preprint arXiv:1103.1210},
  year   = {2011}
}

Comments

4 pages

R2 v1 2026-06-21T17:35:54.438Z