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Change of Base in Bailey Pairs

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Abstract

Versions of Bailey's lemma which change the base from q to q 2 or q 3 are given. Iterates of these versions give many new versions of multisum Rogers-Ramanujan identities.

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Authors and Affiliations

  1. Mathematics and Computer Science Department, Macalester College, Saint Paul, Minnesota, 55105, USA

    D. Bressoud

  2. Department of Mathematics, University of South Florida, Tampa, Florida, 33620-5700, USA

    M.E.H. Ismail

  3. School of Mathematics, University of Minnesota, Minneapolis, Minnesota, 55455, USA

    D. Stanton

Authors
  1. D. Bressoud
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  2. M.E.H. Ismail
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  3. D. Stanton
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Bressoud, D., Ismail, M. & Stanton, D. Change of Base in Bailey Pairs. The Ramanujan Journal 4, 435–453 (2000). https://doi.org/10.1023/A:1009824218230

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