The hypervirial perturbative method is used to obtain large-order shifted 1/N expansions, where N is the number of spatial dimensions. Numerical investigation shows that the usually chosen shift is useful only when low-order expansions are considered. An appropriate order-dependent shift proves to lead to highly accurate large-order expansions. The class of power-law potentials is discussed as an illustrative example.

• Received 18 February 1986

DOI:https://doi.org/10.1103/PhysRevD.34.1835