Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics

Volume 4 of the series Developments in Mathematics pp 255-265

Gaussian Integrals and the Rogers-Ramanujan Identities

  • D. StantonAffiliated withSchool of Mathematics, University of Minnesota

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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