April 1, 2024Open Access

Connection formula for the Jackson integral of Riemann-Papperitz type

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Abstract

We give a connection formula for the Jackson integral of Riemann-Papperitz type. This includes a solution of the connection problem for the variant of q-hypergeometric equation of degree three introduced by Hatano-Matsunawa-Sato-Takemura. Using this formula we show a linear relation for the Kajihara's q-hypergeometric series W^M, 2, whose q-difference equation is recently obtained by one of the author.

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Fujii et al. (Mon,) studied this question.

synapsesocial.com/papers/68e713c8b6db64358768c4ae https://doi.org/https://doi.org/10.48550/arxiv.2404.00969

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