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Published in:
Elements of Nonlinear Analysis Read chapter Read first chapter

2018 | OriginalPaper | Chapter

Deformations with a Resonant Irregular Singularity

Author : Davide Guzzetti

Published in: Formal and Analytic Solutions of Diff. Equations

Publisher: Springer International Publishing

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Abstract

I review topics of my talk in Alcalá, inspired by the paper [1]. An isomonodromic system with irregular singularity at \(z=\infty \) (and Fuchsian at \(z=0\)) is considered, such that \(z=\infty \) becomes resonant for some values of the deformation parameters. Namely, the eigenvalues of the leading matrix at \(z=\infty \) coalesce along a locus in the space of deformation parameters. I give a complete extension of the isomonodromy deformation theory in this case.

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previous chapter On the Algebraic Study of Asymptotics
next chapter Symmetric Semi-classical Orthogonal Polynomials of Class One on q-Quadratic Lattices
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Metadata
Title
Deformations with a Resonant Irregular Singularity
Author
Davide Guzzetti
Copyright Year
2018
Book
Formal and Analytic Solutions of Diff. Equations

Print ISBN: 978-3-319-99147-4

Electronic ISBN: 978-3-319-99148-1

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-99148-1_14

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