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Transformation formulas and three-term relations for basic hypergeometric series (1803.03110v1)
Published 25 Feb 2018 in math.CA
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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