Communications of the
Korean Mathematical Society CKMS

We aim at presenting an interesting result for a reducibility of Exton's triple hypergeometric series $X_2$. The identity to be given here is obtained by combining Exton's Laplace integral representation for $X_2$ and Henrici's formula for the product of three hypergeometric series.

Keywords: triple hypergeometric series $X_2$, Horn functions, Laplace integral

MSC numbers: Primary 33C20, 33C60; Secondary 33C70, 33C65