q微分算子的应用
The Applications of the q-Difference Operator
摘要: 本文通过对两个基础超几何级数恒等式的一系列变换，再对其应用q微分算子Dq,an，推导出了两个终止型的基础超几何级数恒等式。再将其中一个恒等式进行简单的字母代换后，和另外三个终止型的级数恒等式联立起来，得到了三个新的恒等式。这三个新的恒等式是对已知恒等式的扩展，深入的研究将在以后的研究中给出。
Abstract: In this paper, we derive two terminating basic hypergeometric series identities by doing some transformations and applying q-difference operator Dq,an to two basic hypergeometric series identities. After we substitute some parameters in one of them, then combine other three termi-nating identities with it, we derive three new identities. They are extensions of the ones already known, and further research will be given in future studies.
文章引用：丁瑾源一. q微分算子的应用[J]. 理论数学, 2021, 11(1): 53-61. https://doi.org/10.12677/PM.2021.111009

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