Γ -evaluations of hypergeometric series

The Ramanujan Journal(2022)

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摘要
In this paper we explore special values of Gaussian hypergeometric functions in terms of products of Euler Γ -functions and exponential functions of linear functions of the hypergeometric parameters. They include some classical evaluations, but the main inspiration is from the contiguity method recently applied by Akihito Ebisu.
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关键词
Gauss hypergeometric function, Special values, Gamma function, 33C05
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