where is a Generalized Hypergeometric Function and is the Gamma Function. It can bederived from the Dougall-Ramanujan Identity and written in the symmetric form
for with a negative integer and the Pochhammer Symbol (Petkovsek et al. 1996).See also Dougall-Ramanujan Identity, Generalized Hypergeometric Function
References
Petkovsek, M.; Wilf, H. S.; and Zeilberger, D. A=B. Wellesley, MA: A. K. Peters, pp. 43 and 126, 1996.