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A change of Finsler metric ( , ) → ̅ ( , ) is called a Randers -change of , if ̅ ( , ) = ( , ) + ( , ), where ( , ) = ( ) is a one-form on a smooth manifold . The purpose of the present paper is devoted to studying the conditions for more generalized m-th root metrics ̃1 = √ 1 2 1 + 1 + 1 and ̃2 = √ 2 2 2 + 2 + 2 , when is established Randers -change.doi:10.22436/jmcs.06.04.06 fatcat:2od4omquejg4rfwybiizflqe5q