  Some multiple hypergeometric transformation formulas arising from the
balanced du- ality transformation formula are discussed through the symmetry.
Derivations of some transformation formulas with different dimensions are given
by taking certain limits of the balanced duality transformation. By combining
some of them, some transformation formulas for $A_n$ basic hypergeometric
series is given. They include some generalizations of Watson, Sears and ${}_8
W_7$ transformations.
