摘要:The aim of this research is to provide an extension of an interesting and useful quadratic transformation due to Whipple. The result is derived with the help of extension of classical Saalschütz’s summation theorem recently added in the literature. The transformation is further used to obtain a new hypergeometric identity by employing the so-called beta integral method introduced and studied systematically by Krattenthaler and Rao. MSC:33C20, 33C05, 33B20.
关键词:Whipple’s transformation ; Saalschütz’s summation theorem ; extension of a quadratic transformation ; beta integral