- Turkish Journal of Mathematics
- Vol: 44 Issue: 3
- Q-analogues of five difficult hypergeometric evaluations
Q-analogues of five difficult hypergeometric evaluations
Authors : Xıaojıng Chen, Wenchang Chu
Pages : 791-800
Doi:10.3906/mat-1906-15
View : 7 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :A nonterminating balanced q -series is examined by means of the modified Abel lemma on summation by parts that leads to q -analogues of five difficult identities for classical hypergeometric series, including three formulae conjectured by Gosper in 1977Keywords : Abel's lemma on summation by parts, classical hyper geometric series, basic hyper geometric series, balanced series, bilateral series, the gamma function