Jackson integral representation for a multiple q-hypergeometric series and an extension of the q-Riemann-Papperitz system
Abstract
We give a Jackson integral representation for Kajihara's q-hypergeometric series WM,2. We construct a q-difference system that corresponds to this integral. This system is an extension of the variant of q-hypergeometric equation of degree three, defined by Hatano-Matsunawa-Sato-Takemura. We show that this system includes the q-Appell-Lauricella system as a degeneration.
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