Gaussian Integrals and the Rogers-Ramanujan Identities
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.
KeywordsRogers-Ramanujan Hermite polynomials
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- M.E.H. Ismail and D. Stanton, Multibasic integrals and identities of RogersRamanujan type, in preparation.Google Scholar