论文标题

理性的超几何身份

Rational hypergeometric identities

论文作者

Sarkissian, Gor A., Spiridonov, Vyacheslav P.

论文摘要

对于FADDEEV模块化量子差异(双曲线γ函数)和相应的双曲线积分,考虑了特殊的单数极限$ω_1/ω_2\至1 $。它带来了与特定Pochhammer符号产品的Mellin-Barnes类型积分相关的一类新的高几何身份。

A special singular limit $ω_1/ω_2\to 1$ is considered for the Faddeev modular quantum dilogarithm (hyperbolic gamma function) and the corresponding hyperbolic integrals. It brings a new class of hypergeometric identities associated with bilateral sums of Mellin-Barnes type integrals of particular Pochhammer symbol products.

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