ThediscreteFouriertransform(DFT)matrixhasamanifoldoffractionalizationsthatdependonthechoiceofitseigenbases.OneprominentbasisisthatofMehtafunctions;hereweexamineafamilyoffractionalizationsoftheDFTstemmingfromq-extensionsofthisbasis.Althoughclosedexpressionsaregiven,manyresultsofoura