The linear viscoelastic data for model star polymer melts with varying functionality and arm molecular weight were represented by means of a modified Baugaertel-Schausberger-Winter (BSW) relaxation time spectrum, based on data analysis with the parsmonius model of Baumgaertel et al., reported in 1990. In the case of high arm functionality, the second slow terminal relaxation observed by Vlassopoulos et al. in 1997, was captured with a straightforward extension of the BSW model using broad cut-off functions. This study represents a potentially promising attempt to extend the applicability of this representation of viscoelastic data to more complex architectures, beyond simple linear chains which are characterized by self-similarity. The casting of linear viscoelastic data into spectra allows the exploration of star polymer behavior. It is a necessary step in preparation for large scale complex now calculations in conjunction with constitutive models and for material databases.