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学者姓名：黄辉
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Abstract ：
We adapt the theory of normal and special polynomials from symbolic integration to the summation setting and then build up a general framework embracing both the usual shift case and the q-shift case. In the context of this general framework, we develop a unified reduction algorithm, and subsequently a creative telescoping algorithm, applicable to both hypergeometric terms and their q-analogues. Our algorithms allow us to split up the usual shift case and the q-shift case only when it is really necessary, and thus instantly reveal the intrinsic differences between these two cases. Computational experiments are also provided.
Keyword ：
Creative telescoping Creative telescoping Hypergeometric term Hypergeometric term q-Hypergeometric term q-Hypergeometric term Reduction Reduction Zeilberger's algorithm Zeilberger's algorithm
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| GB/T 7714 | Chen, Shaoshi , Du, Hao , Gao, Yiman et al. A unified reduction for hypergeometric and q-hypergeometric creative telescoping [J]. | RAMANUJAN JOURNAL , 2025 , 68 (1) . |
| MLA | Chen, Shaoshi et al. "A unified reduction for hypergeometric and q-hypergeometric creative telescoping" . | RAMANUJAN JOURNAL 68 . 1 (2025) . |
| APA | Chen, Shaoshi , Du, Hao , Gao, Yiman , Huang, Hui , Li, Ziming . A unified reduction for hypergeometric and q-hypergeometric creative telescoping . | RAMANUJAN JOURNAL , 2025 , 68 (1) . |
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