On movable singularities of Garnier systems
نویسندگان
چکیده
منابع مشابه
MOVABLE SINGULARITIES AND QUADRATURE 285 Proof
A general procedure is described for treating a movable singularity in an integral. This enables us to change the original integral I0 into GI¡, where G depends only on the parameters of the singularity and /, is a new integral which exists for all values of the parameters. The results are then applied to the particular problem of evaluating f1 f(x)dx .,{(!x2Xl fc2x2)}"2' where / is entire and ...
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Our aim is to find a general approach to the theory of classical solutions of the Garnier system in n-variables, Gn, based on the RiemannHilbert problem and on the geometry of the space of isomonodromy deformations. Our approach consists in determining the monodromy data of the corresponding Fuchsian system that guarantee to have a classical solution of the Garnier system Gn. This leads to the ...
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ژورنال
عنوان ژورنال: Mathematical Notes
سال: 2010
ISSN: 0001-4346,1573-8876
DOI: 10.1134/s0001434610110210