Transformation formulae for terminating balanced $_4F_3$-series and implications

Authors : Wenchang CHU

Pages : 391-397

Doi:10.15672/hujms.1116891

View : 26 | Download : 11

Publication Date : 2023-03-31

Article Type : Research Paper

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, wellpoised series, Whipples formula, PfaffSaalschütz formula