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arXiv · 0906.5438

One-Parameter Generalizations of Rogers-Ramanujan Type Identities

N. S. S. Gu·H. Prodinger
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Abstract

Resorting to the recursions satisfied by the polynomials which converge to the right hand sides of the Rogers-Ramanujan type identities given by Sills and a determinant method presented in a paper by Ismail-Prodinger-Stanton, we obtain many new one-parameter generalizations of the Rogers-Ramanujan type identities, such as a generalization of the analytic versions of the first and second Göllnitz-Gordon partition identities, and generalizations of the first, second, and third Rogers-Selberg identities.

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N. S. S. Gu, H. Prodinger. 2009-06-30. One-Parameter Generalizations of Rogers-Ramanujan Type Identities. https://arxiv.org/abs/0906.5438

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