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A bijective proof of a limiting case of Watson’s 8 φ 7 transformation formula

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Abstract

Andrews gave a combinatorial proof of the Rogers–Fine identity. In this paper, we present a combinatorial proof of a special case of Watson’s 8 φ 7 transformation formula, which is a generalization of Andrews’ proof.

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Authors and Affiliations

  1. Department of Mathematics, The Pennsylvania State University, University Park, PA, 16802, USA

    Michael Rowell & Ae Ja Yee

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  1. Michael Rowell
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  2. Ae Ja Yee
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Correspondence to Ae Ja Yee.

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A.J. Yee is an Alfred P. Sloan Research Fellow.

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Rowell, M., Yee, A.J. A bijective proof of a limiting case of Watson’s 8 φ 7 transformation formula. Ramanujan J 19, 267–280 (2009). https://doi.org/10.1007/s11139-008-9125-1

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  • DOI: https://doi.org/10.1007/s11139-008-9125-1

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