  For the Harry Dym hierarchy, a non-standard Lax formulation is deduced from
that of Korteweg-de Vries (KdV) equation through a reciprocal transformation.
By supersymmetrizing this Lax operator, a new N=2 supersymmetric extension of
the Harry Dym hierarchy is constructed, and is further shown to be linked to
one of the N=2 supersymmetric KdV equations through superconformal
transformation. The bosonic limit of this new N=2 supersymmetric Harry Dym
equation is related to a coupled system of KdV-MKdV equations.
