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- W2019589026 abstract "In this paper, we show that the kernel function of Cauchy type for type $BC$ intertwines the commuting family of van Diejen's $q$-difference operators. This result gives rise to a transformation formula for certain multiple basic hypergeometric series of type $BC$. We also construct a new infinite family of commuting $q$-difference operators for which the Koornwinder polynomials are joint eigenfunctions." @default.
- W2019589026 created "2016-06-24" @default.
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- W2019589026 date "2011-12-18" @default.
- W2019589026 modified "2023-10-17" @default.
- W2019589026 title "Kernel identities for van Diejen's $q$-difference operators and transformation formulas for multiple basic hypergeometric series" @default.
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- W2019589026 doi "https://doi.org/10.48550/arxiv.1112.4230" @default.
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