CERTAIN INTEGRAL REPRESENTATIONS OF EULER TYPE FOR THE EXTON FUNCTION X5 Choi, June-Sang; Hasanov, Anvar; Turaev, Mamasali;
Exton introduced 20 distinct triple hypergeometric functions whose names are Xi (i = 1,, 20) to investigate their twenty Laplace integral representations whose kernels include the confluent hypergeometric functions , , a Humbert function , a Humbert function . The object of this paper is to present 25 (presumably new) integral representations of Euler types for the Exton hypergeometric function among his twenty (i = 1,, 20), whose kernels include the Exton function X5 itself, the Exton function , the Horn's functions and , and the hypergeometric function F = .
Generalized hypergeometric series;Multiple hypergeometric functions;Integrals of Euler type;Laplace integral;Exton functions ;Humbert function ;Appell function ;Srivastava function ;
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