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Iteration process for multiple rogers–ramanujan identities

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Ukrainian Mathematical Journal Aims and scope

Replacing the monomials by an arbitrary sequence in the recursive lemma found by Bressoud (1983), we establish several general transformation formulas from unilateral multiple basic hypergeometric series to bilateral univariate ones, which are then used for the derivation of numerous multiple series identities of Rogers–Ramanujan type.

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Authors and Affiliations

  1. East China Normal University, Department of Mathematics, Shanghai, China

    W. Chu

  2. Nanjing University of Information Science and Technology, School of Mathematics and Statistics, Nanjing, China

    C. Wang

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  1. W. Chu
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  2. C. Wang
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 1, pp. 100–125, January, 2012.

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Chu, W., Wang, C. Iteration process for multiple rogers–ramanujan identities. Ukr Math J 64, 110–139 (2012). https://doi.org/10.1007/s11253-012-0633-1

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  • DOI: https://doi.org/10.1007/s11253-012-0633-1

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