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Middle convolution and deformation for Fuchsian systems
Author(s) -
Haraoka Yoshishige,
Filipuk Galina
Publication year - 2007
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdm064
Subject(s) - convolution (computer science) , deformation (meteorology) , mathematics , differential equation , mathematical analysis , fuchsian group , pure mathematics , algebra over a field , computer science , physics , artificial intelligence , meteorology , artificial neural network
Middle convolution and addition are operations for Fuchsian systems of differential equations which preserve the number of accessory parameters. In this paper we show that they also preserve the deformation equations. Several Bäcklund transformations of the sixth Painlevé equation are obtained from this viewpoint.