The Ore-Sato Theorem and Shift Exponents in the q-Difference Case

DU Hao,LI Ziming

系统科学与复杂性(英文) ›› 2019, Vol. 32 ›› Issue (1) : 271-286.

PDF(255 KB)
PDF(255 KB)
系统科学与复杂性(英文) ›› 2019, Vol. 32 ›› Issue (1) : 271-286. DOI: 10.1007/s11424-019-8355-1

The Ore-Sato Theorem and Shift Exponents in the q-Difference Case

    DU Hao , LI Ziming
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The Ore-Sato Theorem and Shift Exponents in the q-Difference Case

    DU Hao , LI Ziming
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Abstract

The authors translate the main results in the paper entitled “Multiplicative Decomposition of Multivariate q-Hypergeometric Terms” from Chinese into English. The paper is written by Shaoshi Chen, Ruyong Feng, Guofeng Fu and Jing Kang, and published in Journal of Mathematics and Systems Science, 32(8), 1019–1032, 2012. Some minor simplification and modification are made during the translation. Based on the results in the above paper, a special form is derived for q-shift exponents appearing in the q-shift quotients of a q-hypergeometric term.

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DU Hao,LI Ziming. The Ore-Sato Theorem and Shift Exponents in the q-Difference Case. 系统科学与复杂性(英文), 2019, 32(1): 271-286 https://doi.org/10.1007/s11424-019-8355-1
DU Hao , LI Ziming. The Ore-Sato Theorem and Shift Exponents in the q-Difference Case. Journal of Systems Science and Complexity, 2019, 32(1): 271-286 https://doi.org/10.1007/s11424-019-8355-1
PDF(255 KB)

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