Open AccessOn the multisummability of WKB solutions of certain singularly perturbed linear ordinary differential equations
Author(s) -
Yoshitsugu Takei
Publication year - 2015
Publication title -
opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2015.35.5.775
Subject(s) - mathematics , wkb approximation , ordinary differential equation , linear differential equation , mathematical analysis , differential equation , physics , quantum mechanics
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
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