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Confluence of the Hypergeometric Equation

Calum Horrobin
Institution: 
Loughborough University
Location: 
A-136
Schedule: 
Wednesday, December 2, 2015 - 14:30
Abstract: 

In this talk I will discuss the Gauss hypergeometric differential equation, its solutions and monodromy data. I will also discuss the Kummer confluent hypergeometric differential equation, Stokes' phenomenon and Gevrey asymptotics. A confluence procedure from Gauss' to Kummer's equations will be analysed and I will end by explaining the outlook to my research project, which is concerned with the confluence of the Painlevé equations.

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