On the Exton's triple hypergeometric function $X_2$ of matrix arguments

Abstract

We define the Exton's triple hypergeometric function $X_2$  of matrix arguments and establish some integral representations for this function which generalize the corresponding  results of Choi, Hasanov and Turaev (Choi, Junesang, Hasanov, Anvar and Turaev, Mamasali,  Certain integral representations of Euler type for the Exton function $X_2$, J. Korean Soc. Math. Educ. Ser. B: Pure Appl. Math., 17(4), (2010), 347--354) for the matrix arguments case.