On connection formulas for a fourth order hypergeometric system (Q1071145)

A connection problem for a 4-dimensional hypergeometric system corresponding to a 1-dimensional section of Appell's \(F_ 3\) (\(\alpha\),\(\alpha\) ',\(\beta\),\(\beta\) ',\(\gamma\) ;x,y) is solved by M. Kohno's method [cf. \textit{M. Kohno}, A connection problem for hypergeometric systems, to appear in Funkc. Ekvacioj, Ser. Int.]. The connection coefficients are explicitly represented by (generalized) hypergeometric functions. An extension to n-dimensional hypergeometric systems is contained in the author's paper to be published in Hiroshima Math. J.