Bicubic functions with real multiple poles and zeros

When
Z(s)
has one triple pole and one triple zero, i.e.,
Z(s)=(s+z)^{3}/(s+p)^{3}
, a series-parallel
RLC
realization can be obtained using an extended form of the Guillemin technique. This synthesis, which eliminates the need for surplus factors and avoids minimization, proves to be appropriate for
Z(s)
within its entire positive real range.