## Saalschütz's Theorem

where is a Generalized Hypergeometric Function and is the Gamma Function. It can be derived 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.

© 1996-9 Eric W. Weisstein
1999-05-26