  This paper focuses on the problem of multiplicity induced dominancy (MID) for
a class of linear time-invariant systems represented by delay-differential
equations. If the problem of generic MID was characterized in terms of
properties of the roots of Kummer hypergeometric functions, the case of
intermediate MID is still an open problem. The aim of this paper is to address
such a problem by using the Green--Hille transformation for characterizing the
distribution of the nonasymptotic zeros of linear combinations of Kummer
functions. An illustrative example completes the presentation and shows the
effectiveness of the proposed methodology.
