Abstract
The purpose of present paper to determine the Finsler spaces due to deformation of special Finsler $ (\alpha, \beta) $ metric. Consequently, we obtain the non-holonomic frame with help of Riemannian metric $ \alpha $ , one form metric $ \beta $ and Randers metric such as forms I. $L(\alpha, \beta)=\alpha \beta + \beta^{2} $ i.e. product of Randers metric and 1-form metric and II. $L(\alpha, \beta)= \alpha^{2} + \alpha \beta$ i.e. product of Randers metric and Riemannian metric.
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