  We present a two-parameter family of recursion formulas for scalar field
theory. The first parameter is the dimension $(D)$. The second parameter
($\zeta$) allows one to continuously extrapolate between Wilson's approximate
recursion formula and the recursion formula of Dyson's hierarchical model. We
show numerically that at fixed $D$, the critical exponent $\gamma $ depends
continuously on $\zeta$. We suggest the use of the $\zeta -$independence as a
guide to construct improved recursion formulas.
