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

作　　者：DU Hao LI Ziming 

机构地区：[1]KLMM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences [2]School of Mathematical Sciences, University of Chinese Academy of Sciences

出　　处：《Journal of Systems Science & Complexity》2019年第1期271-286,共16页系统科学与复杂性学报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant Nos.11501552,11871067;supported by the National Natural Science Foundation of China under Grant No.11771433;the Fund of the Youth Innovation Promotion Association,CAS

摘　　要：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 simpli?cation and modi?cation 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.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 simpli?cation and modi?cation 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.

关 键 词：Coboundary COCYCLE q-factorial TERM q-hypergeometric TERM 

分 类 号：O1[理学—数学]