Abstract
Any three hypergeometric series whose respective parameters, , and , differ by integers satisfy a linear relation with coefficients that are rational functions of , , and the variable . These relations are called three-term relations. This paper gives explicit formulas describing symmetries of the coefficients of three-term relations.
Acknowledgement
We are deeply grateful to Prof. Hiroyuki Ochiai for helpful comments. Also, we would like to thank Akihito Ebisu for his comments and suggestions.
Citation
Yuka Yamaguchi. "Symmetries of coefficients of three-term relations for the hypergeometric series." Hiroshima Math. J. 53 (2) 241 - 250, July 2023. https://doi.org/10.32917/h2022013
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