Abstract. Exton introduced 20 distinct triple hypergeometric functions whose names are X i (i = 1, . . . , 20) to investigate their twenty Laplace integral representations whose kernels include the confluent hypergeometric functions 0 F 1 , 1 F 1 , a Humbert function Ψ 1 , and a Humbert function Φ 2 . The object of this paper is to present 18 new integral representations of Euler type for the Exton hypergeometric function X 8 , whose kernels include the Exton functions (X 2 , X 8 ) itself, the Horn's function H 4 , the Gauss hypergeometric function F , and Lauricella hypergeometric function F C . We also provide a system of partial differential equations satisfied by X 8 .

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