论文标题

$γ$ - 高几幅系列的评估

$Γ$-evaluations of hypergeometric series

论文作者

Beukers, Frits, Forsgård, Jens

论文摘要

在本文中,我们根据Euler $γ$构造的产品和高几何参数的线性函数的指数函数探讨高斯超几何函数的特殊值。它们包括一些经典评估,但主要灵感来自Akihito Ebisu最近应用的连续性方法。

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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