SOME NEW IDENTITIES OF ROGERS-RAMANUJAN TYPE  

作　　者：谷晶 张之正 Jing GU;Zhizheng ZHANG(School of Mathematical Sciences,East China Normal University,Shanghai,200241,China;Department of Mathematics,Luoyang Normal University,Luoyang,471934,China;College of Mathematics and Information Science,Henan Normal University,Xinxiang,453001,China)

机构地区：[1]School of Mathematical Sciences,East China Normal University,Shanghai,200241,China [2]Department of Mathematics,Luoyang Normal University,Luoyang,471934,China [3]College of Mathematics and Information Science,Henan Normal University,Xinxiang,453001,China

出　　处：《Acta Mathematica Scientia》2024年第1期129-142,共14页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(12271234)。

摘　　要：In this paper,we establish two transformation formulas for nonterminating basic hypergeometric series by using Carlitz's inversions formulas and Jackson s transformation formula.In terms of application,by specializing certain parameters in the two transformations,four Rogers-Ramanujan type identities associated with moduli 20 are obtained.

关 键 词：Carlitz's inversion Q-SERIES Rogers-Ramanujan type identities 

分 类 号：O15[理学—数学]