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- W2964241061 abstract "The Dixon–Anderson integral is a multi-dimensional integral evaluation fundamental to the theory of the Selberg integral. The ψ11 summation is a bilateral generalization of the q-binomial theorem. It is shown that a q-generalization of the Dixon–Anderson integral, due to Evans, and multi-dimensional generalizations of the ψ11 summation, due to Milne and Gustafson, can be viewed as having a common origin in the theory of q-difference equations as expounded by Aomoto. Each is shown to be determined by a q-difference equation of rank 1, and a certain asymptotic behavior. In calculating the latter, essential use is made of the concepts of truncation, regularization and connection formulae." @default.
- W2964241061 created "2019-07-30" @default.
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- W2964241061 date "2015-03-01" @default.
- W2964241061 modified "2023-10-18" @default.
- W2964241061 title "The q-Dixon–Anderson integral and multi-dimensional ψ11 summations" @default.
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- W2964241061 doi "https://doi.org/10.1016/j.jmaa.2014.10.034" @default.
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