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arXiv · 1803.03110

Transformation formulas and three-term relations for basic hypergeometric series

Yuka Suzuki
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Abstract

We derive two generalizations of Gasper's transformation formula for basic hypergeometric series. Using these generalized formulas, we give explicit expressions for the coefficients of three-term relations for the basic hypergeometric series {}_{2}phi_{1}, which are generalizations of the author's previous results on three-term relations for {}_{2}phi_{1}.

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Yuka Suzuki. 2018-02-25. Transformation formulas and three-term relations for basic hypergeometric series. https://arxiv.org/abs/1803.03110

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