Isomonodromic deformation of 𝑞-difference equations and confluence-Reference-Cited by-同舟云学术

Isomonodromic deformation of 𝑞-difference equations and confluence

Published:2016-11-18 Issue:3 Volume:145 Page:1109-1120
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Dreyfus Thomas

Abstract

We study isomonodromic deformation of Fuchsian linear q q - difference systems. Furthermore, we are looking at the behaviour of the Birkhoff connection matrix when q q goes to 1 1 . We use our results to study the convergence of the Birkhoff connection matrix that appears in the definition of the q q -analogue of the sixth Painlevé equation.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2017-145-03/S0002-9939-2016-13173-0/S0002-9939-2016-13173-0.pdf

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