Nonlinear Difference Equations and Stokes Matrices
نویسندگان
چکیده
We study one scalar holomorphic function of finitely many complex variables which, under the assumption that one of the two coefficient matrices has all distinct eigenvalues, allows to calculate the Stokes multipliers of Okubo’s confluent hypergeometric system. Many properties of this function, including a nonlinear functional equation, are obtained. An open question is whether the function is uniquely determined by this functional equation, after specifying suitable additional conditions. AMS Subject Classifications: 34A30, 39A45.
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