In the present paper we have considered h-Randers conformal change of a Finsler metric $ L $, which is defined as \begin{ center}$ L(x,y)\rightarrow \bar{ L}(x, y)=e^{ \sigma(x)}L(x, y)+\beta (x, y), \end{ center} where $ \sigma(x) $ is a function of x, $\beta(x, y) = b_{ i}(x, y)y^{ i}$ is a 1- form on $M^{ n}$ and $b_{ i}$ satisfies the condition of being an h-vector. We have obtained the expressions for geodesic spray coefficients under this change. Further we have studied some special Finsler spaces namely quasi-C-reducible, C-reducible, S3-like and S4-like Finsler spaces arising from this metric. We have also obtained the condition under which this change of metric leads a Berwald (or a Landsberg) space into a space of the same kind.
Categories: math.GM