The multiplicate form of Gould--Hsu's inverse series relations enables to
investigate the dual relations of the Chu-Vandermonde-Gau{\ss}'s, the
Pfaff-Saalsch\"utz's summation theorems and the binomial convolution formula
due to Hagen and Rothe. Several identitity and reciprocal relations are thus
established for terminating hypergeometric series. By virtue of the duplicate
inversions, we establish several dual formulae of Chu-Vandermonde-Gau{\ss}'s
and Pfaff-Saalsch\"utz's summation theorems in Section (3)\cite{ChuVanGauss}
and (4)\cite{PfaffSaalsch}, respectively. Finally, the last section is devoted
to deriving several identities and reciprocal relations for terminating
balanced hypergeometric series from Hagen-Rothe's convolution identity in
accordance with the duplicate, triplicate and multiplicate inversions.Comment: 15 page
