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q-Hypergeometric Proofs of Polynomial Analogues of the Triple Product Identity, Lebesgue’s Identity and Euler’s Pentagonal Number Theorem

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Abstract

We present alternative, q-hypergeometric proofs of some polynomial analogues of classical q-series identities recently discovered by Alladi and Berkovich, and Berkovich and Garvan.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, The University of Melbourne, VIC 3010, Australia

    S. Ole Warnaar

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  1. S. Ole Warnaar
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Correspondence to S. Ole Warnaar.

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Work supported by the Australian Research Council

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Warnaar, S.O. q-Hypergeometric Proofs of Polynomial Analogues of the Triple Product Identity, Lebesgue’s Identity and Euler’s Pentagonal Number Theorem. Ramanujan J 8, 467–474 (2005). https://doi.org/10.1007/s11139-005-0275-0

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  • DOI: https://doi.org/10.1007/s11139-005-0275-0

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