Wenchang Chu, UniversitÎ di Lecce, Italy
e-mail: wench@ilenic.unile.it

Inversion Techniques and Combinatorial Identities: Andrews' Balanced 5_F_4 Hypergeometric Evaluations
 

Abstract

Following the earlier works on Inversion techniques and Combinatorial Identities, the duplicate form of the Gould-Hsu (1973) inversion theorem is established. As applications, several terminating balanced hypergeometric formulas are demonstrated, including one due to Andrews (1995), which is closely connected to the plane partition enumeration. Further hypergeometric evaluations are obtained through recurrence relations.