Inversion Techniques and Combinatorial Identities: Balanced Hypergeometric Series

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Following the earlier works on Inversion Techniques and Combinatorial Identities, the duplicate form of the Gould-Hsu (1973) inversion theorem is constructed. As applications, several terminating balanced hypergeometric formulas are demonstrated, including those due to Andrews (1995), which have been the primary stimulation to the present research. Encouraged by the recent work of Stanton (1998), we establish two higher hypergeometric evaluations with three additional parameters, which specialize further to over two hundreds hypergeometric identities.