- Hacettepe Journal of Mathematics and Statistics
- Vol: 52 Issue: 2
- Transformation formulae for terminating balanced $_4F_3$-series and implications
Transformation formulae for terminating balanced $_4F_3$-series and implications
Authors : Wenchang Chu
Pages : 391-397
Doi:10.15672/hujms.1116891
View : 13 | Download : 5
Publication Date : 2023-03-31
Article Type : Research
Abstract :A new transformation from terminating balanced $_4F_3$-series to $_3F_2$-series is proved that contains a few known summation formulae as special cases. By means of Whipple\'s transformation, further closed form evaluations are given for terminating well--poised $_7F_6$-series as applications.Keywords : Classical hypergeometric series, balanced series, well–poised series, Whipple’s formula, Pfaff–Saalschütz formula