On the multisummability of WKB solutions of certain singularly perturbed linear ordinary differential equations

Using two concrete examples, we discuss the multisummability of WKB solutions of singularly perturbed linear ordinary differential equations. Integral representations of solutions and a criterion for the multisummability based on the Cauchy-Heine transform play an important role in the proof.

Bibliographic Details
Published in:Opuscula Mathematica
Main Author: Yoshitsugu Takei
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2015-01-01
Subjects:
exact WKB analysis
WKB solution
multisummability
Online Access:http://www.opuscula.agh.edu.pl/vol35/5/art/opuscula_math_3540.pdf
Description
Summary:Using two concrete examples, we discuss the multisummability of WKB solutions of singularly perturbed linear ordinary differential equations. Integral representations of solutions and a criterion for the multisummability based on the Cauchy-Heine transform play an important role in the proof.
ISSN:1232-9274

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