Summation Formulae for Quintic q-Series

被引：1
|
作者：
Chu, Wenchang [1 ,2 ]
机构：
[1] Zhoukou Normal Univ, Sch Math & Stat, Zhoukou 466001, Peoples R China
[2] Univ Salento, Dept Math & Phys, POB 193, I-73100 Lecce, Italy
来源：
MATHEMATICS | 2022年 / 10卷 / 13期
关键词：
basic hypergeometric series; twisted cubic q-series; quintic q-series; reversal series; Abel's lemma on summation by parts; ABELS METHOD; PARTS; TRANSFORMATION; IDENTITIES; LEMMA; QUINTUPLE; INVERSION; PROOF;
D O I：
10.3390/math10132210
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By utilizing the modified Abel lemma on summation by parts, we examine a class of quintic q-series, that have close connections to the "twisted cubic q-series". Several remarkable summation and transformation formulae are established. The related reversal series are also reviewed briefly.
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页数：12
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