For an univariate distribution F, the usual functional parameters describing location, dispersion and skewness are highly connected with the median and so, may be interpreted as Li tools. In previous papers, the authors defined location functions generalizing M-Location parameters. These functions are used here to extend to Lithe Litools mentionned above. For any s&egs0t a tailweight definition, coherent with the Ls+i sense is introduced. It is shown that the Lsdescription of F can be reduced to the Li description of a transformed distribution FsAsymptotic results are given for s = 1