Abstract
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.
Partially supported by NSF grant DMS 99-70627.
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References
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© 2001 Kluwer Academic Publishers
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Stanton, D. (2001). Gaussian Integrals and the Rogers-Ramanujan Identities. In: Garvan, F.G., Ismail, M.E.H. (eds) Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics. Developments in Mathematics, vol 4. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0257-5_16
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DOI: https://doi.org/10.1007/978-1-4613-0257-5_16
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