Formulas for Analytic Continuation of Horn Functions of Two Variables.

The Horn hypergeometric series of two variables and corresponding systems of partial differential equations are considered. A method is proposed for deriving formulas for analytic continuation of arbitrary series of this type in the form of linear combinations of other solutions of the system of equations satisfied by the original series. As an example, formulas for continuation of two series from the well-known Horn list are constructed. [ABSTRACT FROM AUTHOR]