Abstract
We employ a one-variable extension of q-rook theory to give combinatorial proofs of some basic hypergeometric summations, including the q-Pfaff–Saalschütz summation and a \({}_4\phi _3\) summation by Jain.
This paper is dedicated to Krishna Alladi on the occasion of his 60th birthday
Partially supported by FWF Austrian Science Fund grant F50-08, and by the National Research Foundation of Korea (NRF) grant funded by the Korea government (SRC-AORC) (No. 2016R1A5A1008055).
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Schlosser, M.J., Yoo, M. (2017). Basic Hypergeometric Summations from Rook Theory. In: Andrews, G., Garvan, F. (eds) Analytic Number Theory, Modular Forms and q-Hypergeometric Series. ALLADI60 2016. Springer Proceedings in Mathematics & Statistics, vol 221. Springer, Cham. https://doi.org/10.1007/978-3-319-68376-8_37
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DOI: https://doi.org/10.1007/978-3-319-68376-8_37
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