Abstract
Classical Gaussian polynomials are generalized to two variable polynomials. The first half of the paper is devoted to a full account of this extension and its inherent properties. The final part of the paper considers the role of these polynomials in finite identities of the Rogers-Ramanujan type.
Partially supported by National Science Foundation Grant DMS9206993.
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Andrews, G.E. (2005). a-Gaussian Polynomials and Finite Rogers-Ramanujan Identities. In: Ismail, M.E., Koelink, E. (eds) Theory and Applications of Special Functions. Developments in Mathematics, vol 13. Springer, Boston, MA. https://doi.org/10.1007/0-387-24233-3_3
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