Stokes' Phenomenon arising from the confluence of two simple poles

We study certain confluences of equations with two Fuchsian singularities which produce an irregular singularity of Poincaré rank one. We demonstrate a method to understand how to pass from solutions with power-like behavior which are analytic in neighbourhoods to solutions with exponential behavior...

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Bibliographic Details

Main Author:	Calum Horrobin
Format:	Default Thesis
Published:	2018
Subjects:	Other mathematical sciences not elsewhere classified Painlevé equations Hypergeometric differential equations Confluence Monodromy Isomonodromic deformations Asymptotic expansions Analytic functions. Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/28357
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