The main object of this paper is to present a family of q-series identities which involve some of the theta functions of Jacobi and Ramanujan. Each of these (presumably new) q-series identities reveals interesting relationships among three of the theta-type functions which stem from the celebrated Jacobi’s triple-product identity in a remarkably simple way. The q-results presented in this paper are motivated essentially by recent works of Chaudhary et al. (see [4, 5]) and of other authors (see, for example, [1, 13]).

中文翻译：

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与Jacobi三乘积恒等式相关的Theta函数恒等式

本文的主要目的是提出一个q系列恒等式族，其中涉及Jacobi和Ramanujan的一些theta函数。这些（大概是新的）q系列恒等式都以极其简单的方式揭示了源自著名的雅各比三乘积恒等的theta型函数中的三个有趣的关系。本文提出的q结果主要是由Chaudhary等人的最新工作所推动的。（见[4，5]）和其他作者（例如，见[1，13]）。