On generalized Randers change of the more generalized m-th root metrics

A change of Finsler metric is called a generalized Randers change of F, if , where is a -vector in . The purpose of the present paper is devoted to studying the conditions for more generalized -th root metrics and , when is established generalized Randers change and are odd numbers. As well as, we give the condition for the case of are even and odd numbers, respectively. Finally, we prove that under these conditions generalized Randers metric reduces to Randers metric.