The general hypergeometric functions of confluent type are studied. We establish a link between the general hypergeometric functions defined by 1-dimensional integrals and those defined by multi-dimensional integrals. The key point is to form an intermediate Wronskian determinant for the 1-dimensional ones and to rewrite it into a multi-dimensional integral using the generalized Veronese map.
"On Wronskian Determinant Formulas of the General Hypergeometric Functions." Tokyo J. Math. 34 (2) 507 - 524, December 2011. https://doi.org/10.3836/tjm/1327931399