SOME NEW IDENTITIES OF ROGERS-RAMANUJAN TYPE

作     者：谷晶 张之正 Jing GU;Zhizheng ZHANG

作者机构：School of Mathematical SciencesEast China Normal UniversityShanghai200241China Department of MathematicsLuoyang Normal UniversityLuoyang471934China College of Mathematics and Information ScienceHenan Normal UniversityXinxiang453001China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2024年第44卷第1期

页      面：129-142页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

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

主　　题：Carlitz's inversion q-Series Rogers-Ramanujan type identities 

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 *** terms of application,by specializing certain parameters in the two transformations,four Rogers-Ramanujan type identities associated with moduli 20 are obtained.