By introducing multiparameter generalization of Bailey pair,the purpose of this paper is to find a number of new Rogers-Ramanujan-Bailey type identities.
The main purpose of this paper is to generalize the study of the Hecke-Rogers type series,which are the extensions of truncated theorems obtained by Andrews,Merca,Wang and Yee.Our proofs rely heavily on the theory of ...The main purpose of this paper is to generalize the study of the Hecke-Rogers type series,which are the extensions of truncated theorems obtained by Andrews,Merca,Wang and Yee.Our proofs rely heavily on the theory of Bailey pairs.展开更多
Recently, Zhang and Li presented five mock theta functions as q-hypergeometric double sums by using a Bailey pair. In this paper, employing the same Bailey pair, we further establish two new mock theta double sums in ...Recently, Zhang and Li presented five mock theta functions as q-hypergeometric double sums by using a Bailey pair. In this paper, employing the same Bailey pair, we further establish two new mock theta double sums in terms of Appell-Lerch sums and theta series.Indeed, identities between a new mock theta function and classical mock theta functions are obtained.展开更多
基金Supported by the National Natural Science Foundation of China（10771093）
文摘By introducing multiparameter generalization of Bailey pair,the purpose of this paper is to find a number of new Rogers-Ramanujan-Bailey type identities.
基金Supported by the National Natural Science Foundation of China(11871370 and 12001182)the Fundamental Research Funds for the Central Universities(531118010411)。
文摘The main purpose of this paper is to generalize the study of the Hecke-Rogers type series,which are the extensions of truncated theorems obtained by Andrews,Merca,Wang and Yee.Our proofs rely heavily on the theory of Bailey pairs.
基金Supported by the National Natural Science Foundation of China (Grant Nos. 1187125812271234)+2 种基金the Young Backbone Teachers in Henan Province (Grant No. 2020GGJS194)the First-Class Courses in Henan Province (Grant No.[2020]13099)the Young Backbone Teachers in Luoyang Normal College (Grant No. 2019XJGGJS10)。
文摘Recently, Zhang and Li presented five mock theta functions as q-hypergeometric double sums by using a Bailey pair. In this paper, employing the same Bailey pair, we further establish two new mock theta double sums in terms of Appell-Lerch sums and theta series.Indeed, identities between a new mock theta function and classical mock theta functions are obtained.
