On the analytic continuation of the Lauricella function F D (N)On the analytic continuation of the Lauricella
function F D (N)
Horn's hypergeometric functions with three variables hypergeometric series depending on three
variables and belonging to the Horn class. We have derived
The Lauricella hypergeometric function generalized
hypergeometric functions of N complex
variables. For an arbitrary N a complete set of formulae
Analytic continuation of the Lauricella function with arbitrary number of variablesThe Lauricella
function F(N) D, which is a generalized
hypergeometric function of N
variables Analytic continuation of the Kampé de Fériet function and the general double Horn series to represent this
function as exponentially converging
hypergeometric series in the complement
On Hypergeometric Functions of Two Variables of Complexity OneFor a series of examples of Horn systems and the Lauricella system for
functions of two
variables On monotonicity of ratios of some q-hypergeometric functions results we apply methods developed for the case of classical Kummer and Gauss
hypergeometric functions Hypergeometric Systems with Polynomial BasesWe prove that any simplicial or parallelepipedal
hypergeometric configuration admits a Puiseux