@Article{Takei2015, author = "Takei, Yoshitsugu", title = "On the multisummability of WKB solutions of certain singularly perturbed linear ordinary differential equations", journal = "Opuscula Math.", year = "2015", volume = "35", number = "5", pages = "775--802", doi = "http://dx.doi.org/10.7494/OpMath.2015.35.5.775", url = "http://dx.doi.org/10.7494/OpMath.2015.35.5.775", abstract = "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.", keywords = "exact WKB analysis, WKB solution, multisummability", issn = "1232-9274" }