Connection formula for the Jackson integral of Riemann-Papperitz type
Classical Analysis and ODEs
2024-04-02 v1
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 -hypergeometric equation of degree three introduced by Hatano-Matsunawa-Sato-Takemura. Using this formula we show a linear relation for the Kajihara's -hypergeometric series , whose -difference equation is recently obtained by one of the author.
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Cite
@article{arxiv.2404.00969,
title = {Connection formula for the Jackson integral of Riemann-Papperitz type},
author = {Taikei Fujii and Takahiko Nobukawa},
journal= {arXiv preprint arXiv:2404.00969},
year = {2024}
}
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11 pages