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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

Analytic continuation of Lauricella's function F D(N) for large in modulo variables near hyperplanes {z j = z l}We consider the Lauricella hypergeometric function (Formula presented.), depending on (Formula

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 Appell function F 1 and integration of the associated system of equations in the logarithmic caseThe Appell function F1 (i.e., a generalized hypergeometric function of two complex variables) and a

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

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