Gaussian Integrals and the Rogers-Ramanujan Identities

  • D. Stanton


It is well known that the Fourier transform of a Gaussian is a Gaussian. In this paper it is shown that a q-analogue of this integral gives the Rogers-Ramanujan identities.


Rogers-Ramanujan Hermite polynomials 


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Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • D. Stanton
    • 1
  1. 1.School of MathematicsUniversity of MinnesotaMinneapolisUSA

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