on the l-duality of a finsler space with special (α, β) metric

R. miron initiated the study of l-duality in lagrange and finsler spaces in 1987.the concrete l-duals of the randers met-ric, kropina metric, matsumoto metric, exponential metric, as well as a few more unique ( alpha;, beta;)- metrics, are really just an of the re-markable results obtained.the importance of l-duality, however, is basically limited to finding the dual of a few key finsler functions.in this paper, we find l- dual of a finsler space with a special ( alpha;, beta;)- metric f =( alpha;+ beta;)3/ alpha;2 , where alpha; is a riemannian metric and beta; is a differential one form.