In the present paper we have studied the Finslerian hypersurfaces of a Finsler space with the special form of exponential (α,β) - metric such as $L(lpha, eta)=lpha e^{rac{eta}{lpha}}+eta e^{-rac{eta}{lpha}}$ . We also examined the hypersurfaces of this special exponential? metric as a hyperplane of first, second and third kinds.
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