Summation formulae for a class of terminating balanced q-series

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:451

Article

Chen, Xiaojing¹  Chu, Wenchang² 

[1] Qufu Normal Univ, Sch Stat, Qufu 273165, Shandong, Peoples R China

[2] Univ Salento, Dipartimento Matemat & Fis Ennio De Giorgi, Lecce Arnesano POB 193, I-73100 Lecce, Italy

关键词: Basic hypergeometric series;    Contiguous relations;    Carlitz inversions;    Polynomial argument;    q-Pfaff-Saalschutz theorem;    Bailey's well-poised 6 psi 6 series identity;   

DOI  :  10.1016/j.jmaa.2017.02.035

来源: Elsevier

【 摘 要 】

A class of terminating balanced q-series are investigated. Thirty summation formulae are established by employing Carlitz' inversions and the polynomial argument, as well as contiguous relations. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free