Generating functions for products of special laguerre 2d and hermite 2d polynomials

HIGHLIGHTS

  • who: Alfred Wünsche from the Institut für Physik, Nichtklassische Strahlung, Humboldt-Universität, Berlin, Germany have published the article: Generating Functions for Products of Special Laguerre 2D and Hermite 2D Polynomials, in the Journal: (JOURNAL)
  • what: The authors demonstrate this in the simplest case of the derivation of the generating function (3.1) for Hermite polynomials. In the following Appendix A, the authors develop some basic operator identities which are useful for calculation of convolutions of one- and two-dimensional Gaussian functions in combination with polynomials and which were used in most of . . .

     

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