  Using polynomial interpolation, along with structural properties of the
family of positive real rational functions, we here show that a set of m nodes
in the open left half of the complex plane, can always be mapped to anywhere in
the complex plane by rational positive real functions whose degree is at most
m. Moreover, we introduce an easy-to-find parametrization in $R^{2m+3}$ of a
large subset of these interpolating functions.
