论文标题

对Q-3-三分法身份的某些猜想的证明

Proofs for certain conjectures of Gosper on q-trigonometric identities

论文作者

He, Bing

论文摘要

应用椭圆函数理论,我们建立了两个雅各比theta函数身份。从这些身份中,我们确认了Gosper猜想的两个Q三分法身份。作为一个应用程序,我们给出了pi_ {q} - Gosper身份的新简单证明。

Applying the theory of elliptic functions we establish two Jacobi theta function identities. From these identities we confirm two q-trigonometric identities conjectured by Gosper. As an application, we give a new and simple proof of a Pi_{q}-identity of Gosper.

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